Rs 117 was supposed to be divided among P, Q and R in the ratio 3:4:6. But, by mistake, it was divided in the ratio `(1)/(3):(1)/(4):(1)/(6)` How many

Rs 117 was supposed to be divided among P, Q and R in the ratio 3:4:6. But, by mistake, it was divided in the ratio `(1)/(3):(1)/(4):(1)/(6)` How many
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Rs 117 was supposed to be divided among P, Q and R in the ratio 3:4:6. But, by mistake, it was ... How many of P,Q and R gained due to this mistake?
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Rs.10500 is divided among P, Q and R. So that P receives half as much as Q and Q receives half as much as R. Then then total share of P and R is A) 4500 B) 3000 C) 5000 D) 7500

Description : Rs.10500 is divided among P, Q and R. So that P receives half as much as Q and Q receives half as much as R. Then then total share of P and R is A) 4500 B) 3000 C) 5000 D) 7500

Last Answer : Answer: D)  Let amount received by R is X  Amount received by Q is X/2  Amount received by P is X/4  Profit ratio of  P,Q &R =X/4:X/2:X  =1:2:4  Total share of P&R  =10500*5/7 =Rs 7500

Divide Rs 1728 among P, Q, R in such way that 8 times P's share is 12times Q's share and is 6 times R's share. How much does each get? A) Rs. 576,384,768 B) Rs. 588,392,484 C) Rs. 592, 384, 652 D) None of the above

Description : Divide Rs 1728 among P, Q, R in such way that 8 times P's share is 12times Q's share and is 6 times R's share. How much does each get? A) Rs. 576,384,768 B) Rs. 588,392,484 C) Rs. 592, 384, 652 D) None of the above

Last Answer : Answer: A)  Given, 8P=12Q=6R  4P=6Q=3R=>4P=6Q=>6/4Q=>P=3/2Q  6Q=3R R=6Q/3=2Q  Then, P+Q+R=1728  3/2Q+Q+2Q=1728  3Q+2Q+4Q=3456  9Q=3456  Q=384  P=3/2Q =3/2*384=576,R=2Q=768  A:B:C=576:384:768

Among 3 persons, P, Q, R the profit of R is equal to two-fifth of the sum of one-third profit of P and onethird of Q. If at the end of the year total profit is Rs 12750, then find the average profit of P and Q? A) 4750 B) 5625 C) 7425 D) 6520

Description : Among 3 persons, P, Q, R the profit of R is equal to two-fifth of the sum of one-third profit of P and onethird of Q. If at the end of the year total profit is Rs 12750, then find the average profit of P and Q? A) 4750 B) 5625 C) 7425 D) 6520

Last Answer : Answer: B)  R=2/5(1/3 P+1/3 Q)  15R=2(P+Q)  R/(P+Q)= 2/15  Take R=2x, P+Q=15x  Total profit =15x+2x =12750  =>X=Rs.750  Average profit of P&Q =750/2 *15=5625

Among 3 Persons P,Q,R the profit Of Q is equal to one- third of the difference between the profit of R and triple of P. If at the end of the year, total profit is Rs 27000. Then find the profit of R? A) 13000 B) 17850 C) 14500 D) 20250

Description : Among 3 Persons P,Q,R the profit Of Q is equal to one- third of the difference between the profit of R and triple of P. If at the end of the year, total profit is Rs 27000. Then find the profit of R? A) 13000 B) 17850 C) 14500 D) 20250

Last Answer : Answer: D)  Q=1/3(R-3P)  3Q=R-3P R=3[P+Q]  R/(P+Q) =3/1  R/(P+Q+R)=3/4  R/27000 =3/4  R=Rs.20250

P and Q started a partnership business investing some amount in the ratio of 3:5. R joined them after six months with an amount equal to that of Q. In what proportion should the profit at the end of one year be distributed among P, Qand R? A.5 : 8 : 10 B.6 : 10 : 5 C.6 : 4 : 10 D.10 : 6 : 3

Description : P and Q started a partnership business investing some amount in the ratio of 3:5. R joined them after six months with an amount equal to that of Q. In what proportion should the profit at the end of one year be distributed among P, Qand R? A.5 : 8 : 10 B.6 : 10 : 5 C.6 : 4 : 10 D.10 : 6 : 3

Last Answer : Answer – B (6 : 10 : 5) Explanation – Let the initial investments of P and Q be 3a amd 5a. P : Q : R = (3a x 12) : (5a x 12) : (5a x 6) = 36 : 60 : 30 = 6 : 10 : 5.

Two persons P and Q invested in a business with 21 lakh and 28 lakh rupees. They agree that 30% of the profit should be in tha ratio 2:3 for P and Q and rest is divided between them according to their investment. If Q got Rs.1200 more than P, then then total profit Q is A) 4350 B) 4567 C) 4467 D) None

Description : Two persons P and Q invested in a business with 21 lakh and 28 lakh rupees. They agree that 30% of the profit should be in tha ratio 2:3 for P and Q and rest is divided between them according to their investment ... got Rs.1200 more than P, then then total profit Q is A) 4350 B) 4567 C) 4467 D) None

Last Answer : Answer: A)  Ratio of profit of P&Q is,  P:Q=21:28 => 3:4  Let total profit gained be X  Since ,30% of profit should be divided in ratio 2:3 for P&Q, Remaining share is =70% of x  P's share =70/100 *x* ...  =1200  X =Rs 7500  Q's total profit =70/100 *7500 *4/7 + 30/100 *7500*3/5  =Rs 4350

In a business P and R invested amounts in the ratio 2 : 1, whereas the ratio between amounts invested by P and Q was 3 : 2 . If Rs. 2,236 was their profit, how much amount did Q receive ? A.Rs.650 B.Rs.688 c.Rs.588 D.Rs.490

Description : In a business P and R invested amounts in the ratio 2 : 1, whereas the ratio between amounts invested by P and Q was 3 : 2 . If Rs. 2,236 was their profit, how much amount did Q  receive ? A.Rs.650 B.Rs.688 c.Rs.588 D.Rs.490

Last Answer : Answer- B(Rs.688 ) Solution : P : Q = 3 : 2 , P : R = 2 : 1 [given] Q : P = 2 : 3 [reverse], Q : P = 4 : 6 [multiply by 2] Now, P : R = 2 : 1 P : R = 6 : 3 [multiply by 3] P : Q =6 : 4 [after x3] , So Q : P : R = 4 : 6 : 3 or, P : Q : R = 6 : 4 : 3 Q’s share= 4/13 x 2236=Rs.688

Three persons enter into a partnership by investing in the ratio of 9:8:1. After one year P double its investment and R puts another Rs.6000 to the initial investment. Now the ratio of investment changes to 9:8:2. What is total investment P,Q, R after 2years? A) 108000. B) 114000. C) 126000. D) None

Description : Three persons enter into a partnership by investing in the ratio of 9:8:1. After one year P double its investment and R puts another Rs.6000 to the initial investment. Now the ratio of investment changes to 9:8:2. What is total investment P,Q, R after 2years? A) 108000. B) 114000. C) 126000. D) None

Last Answer : Answer: B)  Let investment of P, Q & R are 9x,8x & x for 1year.  After 1 year ratio of their investments.  9:8:2 =9 x +18x : 8x: x+6000=27x :8x: x+6000 X =Rs.6000 Total investments of P, Q & R After 2 years =[9+8+2]*6000=Rs.114000.

An amount of money is to be distributed among P, Q and R in the ratio of 5:4:7 respectively. If the total share of P and R is 3 times the share of Q, what is definitely Q’s share? a) 2000 b) 4000 c) 6000 d) Data inadequate e) None of these

Description : An amount of money is to be distributed among P, Q and R in the ratio of 5:4:7 respectively. If the total share of P and R is 3 times the share of Q, what is definitely Q’s share? a) 2000 b) 4000 c) 6000 d) Data inadequate e) None of these

Last Answer : Answer: D 

P and Q undertake to do a piece of job for Rs.1200. P alone can do it in 12 days while Q alone can do it in 16 days. With the help of R , they finish it in 6 days. Find the share of P,Q & R. a) 400,600,200 b) 200,400,600 c) 450,400,250 d) 600,450,150

Description :  P and Q undertake to do a piece of job for Rs.1200. P alone can do it in 12 days while Q alone can do it in 16 days. With the help of R , they finish it in 6 days. Find the share of P,Q & R. a) 400,600,200 b) 200,400,600 c) 450,400,250 d) 600,450,150

Last Answer : D R;s 1 day work = 1/6 – (1/12 + 1/16) =1/6 – 1/12 – 1/16 = (8-4-3)/48 = 1/48 P:Q:R = ratio of 1 day work = 1/12:1/16 : 1/48 =4:3:1 P’s share = Rs(1200*4/8) =Rs.600 Q’s share = Rs(1200 * 3/8) =Rs.450 R’s share = Rs(1200 * 1/8) =Rs.150

P, Q and R jointly thought of engaging themselves in a business venture. It was agreed that P would invest Rs. 3250 for 6 months, Q, Rs. 4200 for 5 months and R, Rs. 5,000 for 3 months. P wants to be the working member for which, he was to receive 10% of the profits. The profit earned was Rs. 3700. Calculate the share of Q in the profit. A) Rs. 1800 B) Rs. 1260 C) Rs. 1580 D) Rs. 1940

Description : P, Q and R jointly thought of engaging themselves in a business venture. It was agreed that P would invest Rs. 3250 for 6 months, Q, Rs. 4200 for 5 months and R, Rs. 5,000 for 3 months. P wants to be the ... Calculate the share of Q in the profit. A) Rs. 1800 B) Rs. 1260 C) Rs. 1580 D) Rs. 1940

Last Answer : Answer: B) For managing, P received = 10% of Rs. 3700 = Rs. 370. Balance = Rs. (3700 - 370) = Rs. 3330. Ratio of their investments = (3250 x 6) : (4200 x 5) : (5000 x 3)  = 19500 : 21000 : 15000  = 13 : 14 : 10 Q's share = Rs. 3330x 14 / 37 = Rs. 1260

P,Q, R enter into a partnership.P initially invests Rs 54 lakh and withdraws Rs 18 lakhs after 4 years. Q initially Rs 72 lakh ans adds another Rs 18 lakhs after 6 years and R invests Rs 108 lakh and adds another Rs 18 lakh few years. At the end of 10 years profit Of R is equal to sum of profit of P and Q. Then for how many years did R invests Rs 126 lakh per annum A) 5 B) 7 C) 8 D) 11

Description : P,Q, R enter into a partnership.P initially invests Rs 54 lakh and withdraws Rs 18 lakhs after 4 years. Q initially Rs 72 lakh ans adds another Rs 18 lakhs after 6 years and R invests Rs 108 lakh and adds another ... Then for how many years did R invests Rs 126 lakh per annum A) 5 B) 7 C) 8 D) 11 

Last Answer : Answer: C) Ratio of their profit P, Q, R is 54*4+36*6:72*6+90*4:108*x+126*(10-x) =12:22:35 - 0.5x Profit of R=profit of P +profit of Q 35-0.5x=12+22 X=2 year The number of years for R invests Rs 126 lakh =10-2=8years

P, Q, R enter in business partnership. P invests some money at the beginning, Q invests thrice times the amount after 4 months and R invests 6 times the amount after 8 months. If the annual profit be Rs 61260, R's share is A) 41700 B) 45870 C) 47860 D) 40840

Description : P, Q, R enter in business partnership. P invests some money at the beginning, Q invests thrice times the amount after 4 months and R invests 6 times the amount after 8 months. If the annual profit be Rs 61260, R's share is A) 41700 B) 45870 C) 47860 D) 40840

Last Answer : Answer: D)  Let initial investment of P be X  Q’s initial investment after 4 month is 3 X  R’s initial investment after 8 months is 6X  Profit ratio of P,Q&R is,  X*12:3x*4:6x*8=12:12:48=1:1:4  R’s share =61260*4/6=Rs.40840

P, Q & R are three partners start a business. Thrice P’s capital is equal to four times Q’s capital and Q’s capital is 6 times R’s capital. Out of a total profit Rs.35860 at the end of the year, Q’s share is A) Rs.12334 B) Rs.14344 C) Rs. 21500 D) Rs.17600

Description : P, Q & R are three partners start a business. Thrice P’s capital is equal to four times Q’s capital and Q’s capital is 6 times R’s capital. Out of a total profit Rs.35860 at the end of the year, Q’s share is A) Rs.12334 B) Rs.14344 C) Rs. 21500 D) Rs.17600

Last Answer : Answer: B) Let R = c Q = 6c P = 24c/3 = 8c P : Q : R= 8c:6c:c = 8: 6: 1 So Q’s capital = Rs. 35860 * 6/15 = Rs.14344

P, Q & R enter into partnership. P invests 6 times as much as Q and Q invests two- sixth of what R invests. At the end of the year, the profit earned is Rs.7200. what is the share of Q? A) 720 B) 550 C) 670 D) 480

Description : P, Q & R enter into partnership. P invests 6 times as much as Q and Q invests two- sixth of what R invests. At the end of the year, the profit earned is Rs.7200. what is the share of Q? A) 720 B) 550 C) 670 D) 480

Last Answer : Answer: A) Let R’s capital = Rs.x Q’s capital = Rs.2x/6 = x/3 P’s capital = 6x/3 = 2x Ratio of their capitals = 2x : x/3 : x =6x:x:3x =6:1:3 Hence Q’s share = (7200*1/10) = Rs.720

P, Q, R enter into a partnership. P initially invests Rs 15000 and withdrawn Rs. 7500 after 7 months. Q initially invests Rs 12500 and withdraws Rs 10000 after 5 months and R invests Rs 10000 and adds another Rs 5000 after few months. At the end of 1 year and 3 months profits of P and R is twice the profit of Q. Then after how many months did R invests Rs 10000? A) 2.5 B) 2.6 C) 2.7 D) None

Description : P, Q, R enter into a partnership. P initially invests Rs 15000 and withdrawn Rs. 7500 after 7 months. Q initially invests Rs 12500 and withdraws Rs 10000 after 5 months and R invests Rs 10000 and adds another Rs 5000 ... after how many months did R invests Rs 10000? A) 2.5 B) 2.6 C) 2.7 D) None

Last Answer : Answer: A)  Ratio of P, Q &R is , 15000*7+7500* 8:12500*5+2500* 10:10000*x+15000*(15-x)  P: Q: R=66:35:9-2x  Profit of Q = (profit of P + profit of R)/2  35 = (66 +9 -2x)/2  X=2.5 months

In a partnership P invests 2/6 th of the capital for 2/3rd of the time, Q invests 3/5th of the capital for 1/3rd of the time and R invests for 2/5th of the capital for 3/4th of the time. Out of the profit of Rs. 64375at the end of the year, find R's share in the profit A) 27854. B) 23000. C) 26740. D) 25784

Description :  In a partnership P invests 2/6 th of the capital for 2/3rd of the time, Q invests 3/5th of the capital for 1/3rd of the time and R invests for 2/5th of the capital for 3/4th of the time. Out of the ... 64375at the end of the year, find R's share in the profit A) 27854. B) 23000. C) 26740. D) 25784

Last Answer : Answer: C)  Ratio of their profits  (2/6*2/3)*12: (3/5*1/3)*12: (2/5*3/4) *12 =40:36:54  R’s share =64375*54/130  =Rs.26740

A farmer was having a field in the form of a parallelogram PQRS. She took any point A on RS and joined it to points P and Q. In how many parts the field is divided ? -Maths 9th

Description : A farmer was having a field in the form of a parallelogram PQRS. She took any point A on RS and joined it to points P and Q. In how many parts the field is divided ? -Maths 9th

Last Answer : From the adjoining figure, we have The field PQRS is divided into three parts △PAQ, △APS and △AQR. Now, △PAQ and ||gm PQRS are on the same base and lie between the same parallels. ∴ ar(△PAQ) = 1 / 2 ar(||gm ... , she can sow wheat in △APS and △AQR, pulses in △PAQ or vice - versa .

A farmer was having a field in the form of a parallelogram PQRS. She took any point A on RS and joined it to points P and Q. In how many parts the field is divided ? -Maths 9th

Description : A farmer was having a field in the form of a parallelogram PQRS. She took any point A on RS and joined it to points P and Q. In how many parts the field is divided ? -Maths 9th

Last Answer : From the adjoining figure, we have The field PQRS is divided into three parts △PAQ, △APS and △AQR. Now, △PAQ and ||gm PQRS are on the same base and lie between the same parallels. ∴ ar(△PAQ) = 1 / 2 ar(||gm ... , she can sow wheat in △APS and △AQR, pulses in △PAQ or vice - versa .

A sum of money is divided among Suresh, Ganesh, Vignesh and Mahesh in the ratio of 3 : 4 : 9 : 10 respectively. If the share of Vignesh is Rs.2,580/-more than the share of Ganesh, then what is the total amount of money of Suresh and Mahesh together ? a) Rs. 6,985/- b) Rs. 6,487/- c) Rs. 6,708/- d) Rs. 7,156/- e) Rs. 8,457/-

Description : A sum of money is divided among Suresh, Ganesh, Vignesh and Mahesh in the ratio of 3 : 4 : 9 : 10 respectively. If the share of Vignesh is Rs.2,580/-more than the share of Ganesh, then what is the total amount of money of Suresh ... ,985/- b) Rs. 6,487/- c) Rs. 6,708/- d) Rs. 7,156/- e) Rs. 8,457/-

Last Answer : According to the question, difference of ratio of Ganesh and Vignesh is 5 so, 1 ratio = 2580/5 = 516 Now, total ratio of Suresh + Mahesh = 13 So, total money = 13 × 516 = Rs. 6708 Answer: c)

Rs 5750 is divided among A, B, and C such that if their share be reduced by Rs 10, Rs 15 and Rs 25 respectively, the reminder amounts with them shall be in the ratio 4 : 6 : 9. What was C’s share then? A) Rs 2700 B) Rs 2725 C) Rs 2750 D) Rs 2625 E) None of these

Description : Rs 5750 is divided among A, B, and C such that if their share be reduced by Rs 10, Rs 15 and Rs 25 respectively, the reminder amounts with them shall be in the ratio 4 : 6 : 9. What was C’s share then? A) Rs 2700 B) Rs 2725 C) Rs 2750 D) Rs 2625 E) None of these

Last Answer : Answer: B When the shares reduce, the total amount will also reduce which is to be divided among them. So after reducing shares by Rs 10, Rs 15 and Rs 25 respectively, total amount is 5750 - (10+15+25) = ... share shall be [9/(4+6+9)] * 5700 = 2700 Actually C would have received = 2700 + 25=2725

A Shop makes a profit of Rs. 85000 of which 15% as paid as taxes. If the rest is divided among the partners A,B,C in the ratio 8:7:6 then the total share of A and B is A) 54780 B) 51607 C) 56803 D) None

Description : A Shop makes a profit of Rs. 85000 of which 15% as paid as taxes. If the rest is divided among the partners A,B,C in the ratio 8:7:6 then the total share of A and B is A) 54780 B) 51607 C) 56803 D) None

Last Answer : Answer: B)  Profit by company =Rs.85000  After paying tax of 15%  Remaining profit =85000*85/100  =Rs 72250  Profit ratio of X, Y, Z  =8:7:6  Total share of X& Y  =72250*15/21  =Rs.51,607

A man buys p cycles at a total cost of Rs q annd sells each bicycle at Rs r. if profit =`S.P.-C.P`, find the profit.

Description : A man buys p cycles at a total cost of Rs q annd sells each bicycle at Rs r. if profit =`S.P.-C.P`, find the profit.

Last Answer : A man buys p cycles at a total cost of Rs q annd sells each bicycle at Rs r. if profit =`S.P.-C.P`, find the profit.

P, Q and R together earn Rs.420 per day, while P and R together earn Rs.296 and Q and R together earn Rs.164. The daily earning of R is : a) Rs.50 b) Rs.80 c) Rs.40 d) Rs.60

Description : P, Q and R together earn Rs.420 per day, while P and R together earn Rs.296 and Q and R together earn Rs.164. The daily earning of R is : a) Rs.50 b) Rs.80 c) Rs.40 d) Rs.60

Last Answer : D (P+Q+R)’s earning = Rs. 420 (P+R)’s earning=Rs 296 (Q+R)’s earning=Rs 164 Q’s daily earning = Rs. (420 ⎯296) = Rs.124 P’s daily earning = Rs. (420 ⎯164) = Rs.236 Now (P+Q)’s earning=Rs 360 R’s daily earning = Rs. [420 ⎯360] = Rs.60

P started a business in 1990 by investing Rs.25,000. She invested Rs. 10,000 as additional amount in 1991 and her friend Q joined her with an amount of Rs.35,000. P invested another Rs. 10,000 in 1992 and R joined them with Rs. 35,000. At the end of these 3 years, they earned a profit of Rs. 150,000. Find Q's share? a) Rs.50,000 b) Rs.65,000 c) Rs.75,000 d) Rs.15,000

Description : P started a business in 1990 by investing Rs.25,000. She invested Rs. 10,000 as additional amount in 1991 and her friend Q joined her with an amount of Rs.35,000. P invested another Rs. 10,000 in 1992 and R joined them ... ,000. Find Q's share? a) Rs.50,000 b) Rs.65,000 c) Rs.75,000 d) Rs.15,000

Last Answer : Answer: A) P invested Rs.25,000 for 12 months, Rs.(25000 + 10000) for 12 months, , Rs.(25000 + 10000 + 10000) for 12 months. i.e., P invested Rs.25,000 for 12 months, Rs.35000 for 12 months Rs.45000 for 12 months. Q ... Q's share = Rs.(1,50,000 x 2 /(3+2+1)) = Rs.(1,50,000 x 2/6) = Rs.50,000

Three friends started a Company, let there names are P, Qand R. What profit Q will get, if, 1. R invested Rs. 4000 for nine months, his profit was 3/2 times that of Q's and his investment was four times that of P. 2. P and Q invested for one year in the proportion 1 : 2 respectively. 3. The three together got Rs. 500 as profit at the year end. A) Only 1 and 3 B) Only 1 and 2 C) All 1, 2 and 3 D) None of above

Description : Three friends started a Company, let there names are P, Qand R. What profit Q will get, if, 1. R invested Rs. 4000 for nine months, his profit was 3/2 times that of Q's and his investment was four times that of P. 2. ... year end. A) Only 1 and 3 B) Only 1 and 2 C) All 1, 2 and 3 D) None of above

Last Answer : Answer: C) 1 and 2 will give : R = Rs. (4000 x 9) for 1 year = Rs. 36000 for 1 year. P = Rs. (1/4 * 4000 * 12 ) for 1 year = Rs 12000 for 1 year Q = Rs 24000 for one year R:P:Q = ... Profit = 500 Now from the ratio and total profit we can get Share of R. R share will be = 500 * 2/6 = 166.66

P , Q, R hired a van for Rs. 640 and used it for 11,12,13 hours respectively. Hire changes paid by Q were. A) 213 B) 312 C) 123 D) 412

Description :  P , Q, R hired a van for Rs. 640 and used it for 11,12,13 hours respectively. Hire changes paid by Q were. A) 213 B) 312 C) 123 D) 412

Last Answer : Answer: A) P : Q : R = 11 : 12 : 13 Hire changes paid by Q = Rs.(640 * 12/36) = Rs. 7680 / 36 = Rs.213 (approx.)

Four persons rented a grassland. P grazed 48 goats for 3 months, Q grazed 20 goats for 5 months, R grazed 70 goats for 4 months and S grazed 42 goats for 3 months. If p’s share of rent is Rs.1420. Find the total rent of the field? A) 6410 B) 6200 C) 6400 D) 6300

Description : Four persons rented a grassland. P grazed 48 goats for 3 months, Q grazed 20 goats for 5 months, R grazed 70 goats for 4 months and S grazed 42 goats for 3 months. If p’s share of rent is Rs.1420. Find the total rent of the field? A) 6410 B) 6200 C) 6400 D) 6300

Last Answer : Answer: A) Ratio of shares P,Q, R, S = 48*3 : 20 *5 : 70*4 :42*3 = 144 : 100: 280 : 126 = 72:50:140:63 Let total rent be Rs x Then P’s share = Rs. 72x/325 72x /325 = 1420 X = Rs.6410

P sells a bike to Q at a profit of 25%. Q sells it to R at a profit of 30%.If R pays Rs.273 for it, the cost price of the bike for P is:

Description : P sells a bike to Q at a profit of 25%. Q sells it to R at a profit of 30%.If R pays Rs.273 for it, the cost price of the bike for P is:

Last Answer : Selling price for q is Rs. 273 Cost price + profit = 273 X + 30x/100= 273 X = 210 Cost price of q is 210 Selling price of p is 210 Cost price + profit = 210 Y + 25y/100= 210 Y = 168 The cost price of p is Rs. 168/-

The line segment joining P(5, –2) and Q(9, 6) is divided in the ratio 3 : 1 by a point A -Maths 9th

Description : The line segment joining P(5, –2) and Q(9, 6) is divided in the ratio 3 : 1 by a point A -Maths 9th

Last Answer : Comparing y = 5\(x\) –7 with y = m\(x\) + c, the slope of given line = m = 5 ∴ Equation of a line parallel to y = 5\(x\) – 7 having y-intercept = –1 is y = 5\(x\) – 1.

Faucet 'P' can fill the tank completely in12 hrs while faucet'q' can empty it by 24 hrs. By mistake, Anitha forgot to close the faucet ‘q’, As a result, both the faucet remained open. After 8 hrs, faucet realized the mistake and immediately closed the faucet 'q'. In how much time now onwards, would the tank be full? A) 4 B) 8 C) 12 D) 16

Description : Faucet 'P' can fill the tank completely in12 hrs while faucet'q' can empty it by 24 hrs. By mistake, Anitha forgot to close the faucet q', As a result, both the faucet remained open. After 8 hrs, faucet realized the ... '. In how much time now onwards, would the tank be full? A) 4 B) 8 C) 12 D) 16 

Last Answer : Answer: B Explanation: Faucet P can fill the tank completely in 12 hours => In 1 hour, Faucet P can fill 1/12of the tank Faucet q can empty the tank completely in 24 hours => In 1 hour, Faucet q can empty ... tank. Time taken to fill the remaining (1−1/3)=2/3of the tank =(2/3)/(1/12) = 8 hours

Total of the ages of P, Q and R at present is 99 years. Eight years ago, the ratio of their ages was 4: 5: 6. What is the age of Q at present a) 44 b) 30 c) 45 d) 33

Description : Total of the ages of P, Q and R at present is 99 years. Eight years ago, the ratio of their ages was 4: 5: 6. What is the age of Q at present a) 44 b) 30 c) 45 d) 33

Last Answer : D Let their ages 8 years ago is4x, 5x and 6x years.  4x+8+5x + 8 + 6x + 8= 99 hence x= 5 Q’s present age = (5x + 8)  =33 years

The amounts of P, Q and R in the ratio 3:4:5 and their spending are in the ratio 4:5:6. If P saves 1/6th of his income then then savings of P, Q, R are in the ratio A) 18:11:3. B) 12:13:4. C) 4:11:18. D) None

Description : The amounts of P, Q and R in the ratio 3:4:5 and their spending are in the ratio 4:5:6. If P saves 1/6th of his income then then savings of P, Q, R are in the ratio A) 18:11:3. B) 12:13:4. C) 4:11:18. D) None

Last Answer : Answer: C)  Income of P,Q,R = 3x:4x:5x Expense of 4:5:6=4y:5y:6y.  Savings [income –expenditure]  =3x-4y :4x-5y :5x-6y------->1  Given 3x-4y=x/6  y=17x/24  Sub if (1) is,  =3x-4(17x/24) :4x-5(17x/24) :5x-6(17x/24)  =8x:22x:36x  = 4:11:18

P and Q invest in a business in the ratio 3 : 2. If 5% of the total profit goes to charity and P’s share is Rs. 855, the total profit is: A.Rs. 1435 B.Rs. 1500 C.Rs. 1538 D.Rs. 1580

Description : P and Q invest in a business in the ratio 3 : 2. If 5% of the total profit goes to charity and P’s share is Rs. 855, the total profit is: A.Rs. 1435 B.Rs. 1500 C.Rs. 1538 D.Rs. 1580

Last Answer : Answer- B (Rs.1500) Explanation: Let the total profit be Rs. 100. After paying to charity, A’s share = Rs. 95 x 3/5 = Rs. 57. If A’s share is Rs. 57, total profit = Rs. 100. If A’s share Rs. 855, total profit =(100/57) x 855 = 1500.

P and Q entered into a partnership with captials in the ratio 4:5. After 3 months, P withdrew 1/3 of his capital and Q withdrew 1/5 of his capital . The gain at the end of 9 Months was Rs. 775. P's shares of profit is A) 358 B) 362 C) 337 D) 345

Description : P and Q entered into a partnership with captials in the ratio 4:5. After 3 months, P withdrew 1/3 of his capital and Q withdrew 1/5 of his capital . The gain at the end of 9 Months was Rs. 775. P's shares of profit is A) 358 B) 362 C) 337 D) 345

Last Answer : Answer: C)  Investment initial of P=4x  Investment initial of Q=5x  After 3 months of P=4x*(1/3)=4x/3  After 3 months of Q= 5x*(1/5)= x  Ratio of capitals = (4x*3+3x*6: 5x*3+4x*6)=30x:39x=10:13  Total profit =775  P’s share =10/23*775=337(approx.)

Among P, Q, R and S, the aromatic compounds(s) is/are

Description : Among P, Q, R and S, the aromatic compounds(s) is/are

Last Answer : Among P, Q, R and S, the aromatic compounds(s) is/are A. P B. Q C. R D. S

Ninety coins are to be distributed among P,Q and R such that P gets twice as many coins as Q gets and Q gets thrice as many coins as R gets. Find the

Description : Ninety coins are to be distributed among P,Q and R such that P gets twice as many coins as Q gets and Q gets thrice as many coins as R gets. Find the

Last Answer : Ninety coins are to be distributed among P,Q and R such that P gets twice as many coins as Q gets and Q gets thrice ... R gets. A. 6 B. 3 C. 10 D. 9

P, Q and R have to share 52 apples among themselves such that P gets thrice as many applies as Q gets and Q gets thrice as many as R gets. Find the nu

Description : P, Q and R have to share 52 apples among themselves such that P gets thrice as many applies as Q gets and Q gets thrice as many as R gets. Find the nu

Last Answer : P, Q and R have to share 52 apples among themselves such that P gets thrice as many applies as Q ... R gets. Find the number of apples R must get.

A, B and C enter into a partnership and their shares are in ratio 1/2 : 1/3 : 1/4, after 2 months, A withdraws half of his capital and after 12 months, a profit of Rs 1050 is divided among them. What is B’s share ? A.Rs.420 B.Rs. 300 C.Rs.400 D.Rs.350

Description : A, B and C enter into a partnership and their shares are in ratio 1/2 : 1/3 : 1/4, after 2 months, A withdraws half of his capital and after 12 months, a profit of Rs 1050 is divided among them. What is B’s share ? A.Rs.420 B.Rs. 300 C.Rs.400 D.Rs.350

Last Answer : Answer- C(Rs.400) Explanation : Ratio of investments =1/2 : 1/3 : 1/4 , LCM of 2, 3, 4 = 12 ,multiply ratios with 12 we get 6 : 4 : 3 , so,initial investment be 6x, 2x and 3x so, we can write: A : B :C =(6x X 2 + 3x X 10 ) : (4x X 12) :(3x X 12) = 7:8:6 B’s share= (8/21) x 1050 = 400

Rs 650 was divided among 3 children A,B,C in the ratio 2 : 4 : 7. Had it been divided in the ratio 1/2 : 1/4 : 1/7, who would have gained the most and by how much? A) C, Rs 246 B) C, Rs 264 C) B, Rs 18 D) A, Rs 246 E) A, Rs 264

Description : Rs 650 was divided among 3 children A,B,C in the ratio 2 : 4 : 7. Had it been divided in the ratio 1/2 : 1/4 : 1/7, who would have gained the most and by how much? A) C, Rs 246 B) C, Rs 264 C) B, Rs 18 D) A, Rs 246 E) A, Rs 264

Last Answer : Answer: E New ratio = 1/2 : 1/4 : 1/7 = 14 : 7 : 4 So both ratio suggests that C has not gained any money, rather he has lose the money. For both ratio find the shares of A and B With ratio 2 : 4 : 7 ... [7/(14+7+4)] * 650 = 182 B has also lose the money, A gain the money and = 364 - 100 = 264

Rs 4830 is divided among Abhishek, Dishant and Prashant such that if Abhishek's share diminishes by Rs 5, Dishant's share diminishes by Rs 10 and Prashant's share diminishes by Rs 15, their shares will be in the ratio 5:4:3. Find the Dishant's original share A) 1610 B) 2010 C) 2410 D) 1590 E) NONE

Description : Rs 4830 is divided among Abhishek, Dishant and Prashant such that if Abhishek's share diminishes by Rs 5, Dishant's share diminishes by Rs 10 and Prashant's share diminishes by Rs 15, their shares will be in the ratio 5:4:3. Find the Dishant's original share A) 1610 B) 2010 C) 2410 D) 1590 E) NONE

Last Answer : Answer: A Let actual share of Abhishek, Dishant and Prashant be A, D , P respectively. A+D+P=4830 Hence, A's, D's and P's share are diminished by Rs 5, Rs 10 and Rs 15, their net share ... . Dishant's diminished share = (4/12) * 4800 = Rs1600 Hence, Dishant actual share =Rs1600+Rs10= Rs 1610.

A, B and C are 3 partners in a business. Their investments are respectively Rs 2000, Rs 4,000 and Rs 3,000. A gets 30% of total profit for managing the business. The remaining profit is divided among them in the ratio of their investments. At the end of the year, the profit of Ais Rs 1100 less than the sum of the profit of B and C. What amount of income will C get? A) Rs 2100.75 B) Rs 2887.5 C) Rs 2705.75 D) Rs 2546.25

Description : A, B and C are 3 partners in a business. Their investments are respectively Rs 2000, Rs 4,000 and Rs 3,000. A gets 30% of total profit for managing the business. The remaining profit is divided among them in the ratio ... of income will C get? A) Rs 2100.75 B) Rs 2887.5 C) Rs 2705.75 D) Rs 2546.25

Last Answer : Answer: B) The ratio of profit of A, B and C is 2000:4000:3000=2:4:3. Let the annual profit be P. Then, A will get 0.3p for managing the business. And, remaining 0.7p will be distributed in the ratio of their ... ⇒ 7/9 0.7p−2/9 0.7p−0.3p=1100 ⇒ p=12,375 So, C's share=3/9 0.7p=Rs 2887.5

Dhivya, Dinesh and Deepi enter into a partnership and their shares are in the ratio 1/3 :1/4 :1/5. After 2 months, dhivya withdraws half of her capital and after 10 months, a profit of Rs. 462 is divided among them, what is Deepi’s share? A) 123.56 B) 165.45 C) 143.3 D) 146.43

Description : Dhivya, Dinesh and Deepi enter into a partnership and their shares are in the ratio 1/3 :1/4 :1/5. After 2 months, dhivya withdraws half of her capital and after 10 months, a profit of Rs. 462 is divided among them, what is Deepi’s share? A) 123.56 B) 165.45 C) 143.3 D) 146.43

Last Answer : Answer: C) Ratio of initial investments = 1/3 : 1/4 : 1/5 = 20 :15 :12 Let their initial investments be 20x, 15x and 12x respectively Dhivya: Dinesh :Deepi = (20x *2 +10x *10) : (15x *12) : (12x*12) =140x : ... 70:90:72 = 35 : 45 :36 Deepi s share = Rs.462 * 36/116 = Rs(16632/116) =Rs.143.3

R being the silent partner contributes 2/9 th of profit and the remaining is divided between S and T in the ratio of 7:5. If the difference between the profit shares of R and T is Rs.6600. What is the S’s share? a) 27900 b) 28000 c) 29400 d) 26889

Description : R being the silent partner contributes 2/9 th of profit and the remaining is divided between S and T in the ratio of 7:5. If the difference between the profit shares of R and T is Rs.6600. What is the S’s share? a) 27900 b) 28000 c) 29400 d) 26889

Last Answer : Answer: C) Let total profit be x R’s share =2/9*x Balance share =7/9 *x Share of T=7/9 *x*5/12=35/108*x Difference of R &T is, 35/108*X-2/9 *x=6600=>x=64,800 Share of S =7/9*64800*7/12 =Rs.29400.

what- The Library of Congress has a collection of about 117 million items.What is the ratio of books to the total number of items?

Description : what- The Library of Congress has a collection of about 117 million items.What is the ratio of books to the total number of items?

Last Answer : 32: 117

The slenderness ratio of a vertical column of square cross- section of 10 cm side and 500 cm long, is (A) 117.2 (B) 17.3 (C) 173.2 (D) 137.2

Description : The slenderness ratio of a vertical column of square cross- section of 10 cm side and 500 cm long, is (A) 117.2 (B) 17.3 (C) 173.2 (D) 137.2

Last Answer : (C) 173.2

Sundry Debtors – Rs.15,000 Bills Receivable (B/R) – Rs.12,500 Cash at Bank – Rs.17,500 Stock – Rs.15,000 Profit – Rs.20,000 Creditors – Rs.25,000 Bills Payable (B/P) – Rs.15,000 Sales – Rs.1,00,000 What is the Acid Test Ratio ? (A) 1•5 : 1 (B) 1•125 : 1 (C) 16 2/3% (D) 50%

Description : Sundry Debtors – Rs.15,000 Bills Receivable (B/R) – Rs.12,500 Cash at Bank – Rs.17,500 Stock – Rs.15,000 Profit – Rs.20,000 Creditors – Rs.25,000 Bills Payable (B/P) – Rs.15,000 Sales – Rs.1,00,000 What is the Acid Test Ratio ? (A) 1•5 : 1 (B) 1•125 : 1 (C) 16 2/3% (D) 50%

Last Answer : Answer: 1•125 : 1

The compound ratio of ` p : r and r: q` is __________ .

Description : The compound ratio of ` p : r and r: q` is __________ .

Last Answer : The compound ratio of ` p : r and r: q` is __________ .

P and Q together can complete a job in 30 days. Q and R together can complete the same job in 40 days. P and R together can complete the same job in 40 days. What is the respective ratio of the number of days taken by P when completing the same job alone to the number of days taken by R when completing the same job alone? a) A.2:5 b) B.1:2 c) C.3:4 d) D.2:3

Description : P and Q together can complete a job in 30 days. Q and R together can complete the same job in 40 days. P and R together can complete the same job in 40 days. What is the respective ratio of the number of days taken by P ... R when completing the same job alone? a) A.2:5 b) B.1:2 c) C.3:4 d) D.2:3

Last Answer : B Efficiency of P and Q= 1/30 per day ___________1 ⇒ Efficiency of Q and R = 1/40 per day_________2 ⇒ Efficiency of R and P = 1/40 per day _________3 Taking equation 2 and 3 together ⇒ Q + R = ... 120 days he they work alone. ⇒ Ratio of number of days in which P and R can complete the job 1:2.