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

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
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1 Answer

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
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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

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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

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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.

Jaya and sona invested amount of Rs 10000 and Rs 5000 respectively in their business. What percentage of the share of the profit that should be given to Jaya such that ratio of income is equal for both at the end of year? A) 5 B) 7 C) 4 D) 6

Description : Jaya and sona invested amount of Rs 10000 and Rs 5000 respectively in their business. What percentage of the share of the profit that should be given to Jaya such that ratio of income is equal for both at the end of year? A) 5 B) 7 C) 4 D) 6

Last Answer : Answer: C)  Ratio of invest of jaya & sona =10000:5000 =2:1  Income of both at end of year is equal, then  Income is divided into 50 parts. Income be 100%, then 1st part =25 ,2 nd part=25, Percentage=100/25=4%

If 12 (M’s capital) = 18 (N’s capital) = 30 (O’s capital) then out of a profit of Rs.13950, How much amount O will receive? A) Rs.2700 B) Rs.2600 C) Rs.2500 D) Rs.2400

Description :  If 12 (M’s capital) = 18 (N’s capital) = 30 (O’s capital) then out of a profit of Rs.13950, How much amount O will receive? A) Rs.2700 B) Rs.2600 C) Rs.2500 D) Rs.2400

Last Answer : Answer: A) Let 12 M = 18N = 30 O = y M = y/12, N = y/18 O = y/30 Therefore M : N: O = y/12 : y/18 :y/30 = 15 : 10 : 6 Hence O’s share = Rs (13950 * 6/31) = Rs.2700

P and Q established a shop. P puts 7 times that of Q. Q also kept the amount puts for 5 as much time as P. If Q got a profit of Rs.12360. What was the total profit? A) 25748 B) 27856 C) 29664 D) 28458

Description : P and Q established a shop. P puts 7 times that of Q. Q also kept the amount puts for 5 as much time as P. If Q got a profit of Rs.12360. What was the total profit? A) 25748 B) 27856 C) 29664 D) 28458

Last Answer : Answer: C) Let amount put by Q be A Let amount put by P be 7A Let amount time of P be T Let amount time of Q is 5T Ratio of P &Q  7A*T:A*5T=>7:5 Total received amount =12360/5*12=29664

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

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

The monthly income of M and N is in the ratio 5:3 and their expenses in the ratio 4:2. Both of them save Rs. 12000 each. Find the monthly income of M A) 68000 B) 72000 C) 60000 D) 64000

Description : The monthly income of M and N is in the ratio 5:3 and their expenses in the ratio 4:2. Both of them save Rs. 12000 each. Find the monthly income of M A) 68000 B) 72000 C) 60000 D) 64000

Last Answer : Answer: C)  Income ratio of M=5x  Income ratio of N=3x  Savings of M=12000  Savings of N=12000  Expense of M=5x-12000  Expense of N =3x-12000  Expense order in ration 4:2  5x-12000:3x-12000=4:2  X=12000  M’s income =5x=5*12000  =60000

Ravi and kavi are partners in a business. Ravi contributes 3/7th of the total capital for 20 months and kavi received 3/4 th of the profit. Then how long kavi invest the money in the business? A) 5 B) 11 C) 6 D) 9

Description : Ravi and kavi are partners in a business. Ravi contributes 3/7th of the total capital for 20 months and kavi received 3/4 th of the profit. Then how long kavi invest the money in the business? A) 5 B) 11 C) 6 D) 9

Last Answer : Answer: A)  Total profit be X  kavi’s profit is 3/4x  Ravi’s profit is 1/4x Ratio of ravi & kavi profit =3/4 x: 1/4x=3:1  Let Ravi's investment =3/7 *P(for 20 months then, kavi’s investment =4/7 P)  Ratio of ravi & kavi  Profit =3:1=3/7*P*20 :4/7*p*T  T=5 months= kavi investment time

X, Y, Z started a business with their investment in the ratio of 4/5: 4/7: 5/9, after 6months. X has withdrawn half of his investment. Also X will get 30% of profit for being an active partner. At the end of a year total profit earned was Rs. 54750. Then find the total profit earned by Y and Z? A) 25200 B) 28600 C) 25010 D) 26867

Description : X, Y, Z started a business with their investment in the ratio of 4/5: 4/7: 5/9, after 6months. X has withdrawn half of his investment. Also X will get 30% of profit for being an active partner. At the ... Rs. 54750. Then find the total profit earned by Y and Z? A) 25200 B) 28600 C) 25010 D) 26867

Last Answer : Answer: C) Let investment of X, Y, Z be 4/5 x,4/7x &5/9 x =>252x, 180x & 175x Profit ratio of X, Y, Z is 252x*6+126x*6:180x*12 :175x *12 =189:180:175 Active partner X's amount= ... 30/100 =Rs.16425 Remaining profit =54750-16425 =Rs.38325 Total profit earned by Y*Z= 38325*355/544 =Rs. 25010

Saranya began a business with Rs 84000 and he joined by shalu with Rs 72000. At the end of the year their profit ratio 14:4 then after how many months does shalu joins the business? A) 5 B) 6 C) 8 D) 9

Description : Saranya began a business with Rs 84000 and he joined by shalu with Rs 72000. At the end of the year their profit ratio 14:4 then after how many months does shalu joins the business? A) 5 B) 6 C) 8 D) 9

Last Answer : Answer: C) Saranya invests Rs 84000 for 12 months shalu invests Rs 72000 for X months Ratio of both profits, Saranya: shalu =84000*12:72000*x =14:X 14/4=14/X => X = 4months =12-4=>8months

A started a business with Rs. 28000 and is later joined by B with Rs. 49000. After how many months did B joined if the profit after 3 yrs divided in the ratio for 7:6 for B and A? a) 12 b) 17 c) 16 d)15

Description : A started a business with Rs. 28000 and is later joined by B with Rs. 49000. After how many months did B joined if the profit after 3 yrs divided in the ratio for 7:6 for B and A? a) 12 b) 17 c) 16 d)15

Last Answer : Answer: A) Let number of months A invest by B be Y Ratio of A after 2 yrs is, 6/7 = (2800*36)/(4900*Y)  y = 24 months No of month after A joined =36 -24 =12 months

Ajay and vijay entered into business with capital in ratio of 5:7.after 5 months Ajay withdraws 4/7 th of his capital and vijay withdraws 2/7th of his capital. At the end of 8months there was a profit of Rs 4470. Then find the profit A) 3678. B) 2000. C) 4000. D) 1500

Description : Ajay and vijay entered into business with capital in ratio of 5:7.after 5 months Ajay withdraws 4/7 th of his capital and vijay withdraws 2/7th of his capital. At the end of 8months there was a profit of Rs 4470. Then find the profit A) 3678. B) 2000. C) 4000. D) 1500

Last Answer : Answer: B) Profit ratio of Ajay & vijay, 5x*5+3x*3 :7x*5+5x*3 =34:50=17:25 Profit of vijay =3360/42 *25 =Rs 2000

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.

Q and K are partners in a Company. Q receives 4/7th of the capital for 9months and K received 1/5th of the profit,for how long K money used? A) 3 B) 4 C) 5 D) 6

Description : Q and K are partners in a Company. Q receives 4/7th of the capital for 9months and K received 1/5th of the profit,for how long K money used? A) 3 B) 4 C) 5 D) 6

Last Answer : Answer: A) Let total profit gained be A Profit earned by K =1/5 *A Profit earned by Q =4/5*A Ratio of Q & K profit =4/5 *A:1/5*A=4:1 Total investment be P Q receives 4/7 th of p for 9 months K receives 3/7 th of P for Y months. Ratio of K & Q is, 1/4= (3/7*P*Y)/(4/7 *P*9) =>Y= 3 months =>K

Durga invested Rs X for 5 months and Y for remaining time. Moushsree invested Rs Y for 9.months and X for the remaining time. At the end of the year profits are in the ratio 4:5. Then find what % of X is Y? A) 6.2 % B) 7.69% C) 5.25% D) 3.2%

Description : Durga invested Rs X for 5 months and Y for remaining time. Moushsree invested Rs Y for 9.months and X for the remaining time. At the end of the year profits are in the ratio 4:5. Then find what % of X is Y? A) 6.2 % B) 7.69% C) 5.25% D) 3.2%

Last Answer : Answer: B)  Durga investment =5X+7Y  Moushsree investment =9Y+3X  (5X+7Y)/(9Y+3X)=4/5  X/Y=1/13 *100=7.69%

3 people A, B, C invested in a business in the ratio of 5:6:9. After 3months B withdraw half of her capital. If the Sum invested by A is 32000, then what is the profit earned by B at the end of the year out of the total profit of Rs. 48250? A) 17965.33 B) 70767.50 C) 46189.25 D) 10193.66

Description : 3 people A, B, C invested in a business in the ratio of 5:6:9. After 3months B withdraw half of her capital. If the Sum invested by A is 32000, then what is the profit earned by B at the end of the year out of the total profit of Rs. 48250? A) 17965.33 B) 70767.50 C) 46189.25 D) 10193.66

Last Answer : Answer: D) Let A, B, C put amounts be 5x,6x,9x respectively Then A's investment is 5x=32000=> x=Rs.6400 Then, B, C puts amount is Rs.38400 & 57600 =32000*12 : 38400 *3 +19200 * 9:57600*12 =>384000:288000:691200 =20:15:36 B’s profit is 48250* 15/71 =Rs. 10193.66

M, N and O amounted plot. M invests 24 flat for 27months, N invests 18 flat for 24 months and O puts 48 plat for 27 months. If the rent of the plot is Rs.44649 then what is the average amount paid by M & O? a) 18116.5 b) 18265.5 c) 16878.5 d) 12688.5

Description : M, N and O amounted plot. M invests 24 flat for 27months, N invests 18 flat for 24 months and O puts 48 plat for 27 months. If the rent of the plot is Rs.44649 then what is the average amount paid by M & O? a) 18116.5 b) 18265.5 c) 16878.5 d) 12688.5

Last Answer :  Answer: B) Ratio of M, N, O is, 24*27:18*24:48*27 =3:2:6 Amount paid by M&O=44649*3/11+ 44649*6/11 =Rs.36531 Average amount paid by M&O =36531/2 =Rs.18265.5

Two friends M & N started a business Investing in the ratio of 6 :7 . O joined then after 6 months investing an amount equal to that of N. at the end of the year 30% profit was equal to 105000. What was the amount invested by O? A) 148484 B) 154326 C) 146738 D) 145783

Description : Two friends M & N started a business Investing in the ratio of 6 :7 . O joined then after 6 months investing an amount equal to that of N. at the end of the year 30% profit was equal to 105000. What was the amount invested by O? A) 148484 B) 154326 C) 146738 D) 145783

Last Answer : Answer: A) Let the total profit be x Then 30% of x = 105000 X = 105000 * 100/30 X=350000 Let the capitals of M,N,O be Rs. 6x ,7x and 7x respectively. Then, (6x*12) + (7x *12) +(7x *6) = 350000*12 72x +84x +42x = 4200000 198x = 4200000 X=21212 O’s investment = Rs.148484

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

Mahesh and Devi invested Rs.20979 and Rs. 22977 respectively in a business. Devi being an active partner will get Rs.750 every month extra for running the business. In 18 months if Devi received a total amount of Rs.18250, then what is total profit earned by both in one and half years is, A) 26888. B) 22500. C) 22587 D) 25874

Description : Mahesh and Devi invested Rs.20979 and Rs. 22977 respectively in a business. Devi being an active partner will get Rs.750 every month extra for running the business. In 18 months if Devi received a total amount ... profit earned by both in one and half years is, A) 26888. B) 22500. C) 22587 D) 25874

Last Answer : Answer: C) Profit ratio of Mahesh: Devi =20979 :22977=:21:23 Devi is an active partner will get Rs,750/month For 18 months ,she receives Rs.13500 Balance amount of Devi =18250 -13500 =Rs 4750 ... =4750/23 *21 =Rs.4337 Total profit earned by both in one &half years =18250+4337 =Rs 22587

A, B and C rent a land. A puts 10 tractors for 7 months, B puts 12 tractors for 5 months and C puts 15 tractors for 3 months . If the rent of the land is Rs. 175000, how much must C pay as his share of rent? A.45000 B.50000 C.57000 D.64000

Description : A, B and C rent a land. A puts 10 tractors for 7 months, B puts 12 tractors for 5 months and C puts 15 tractors for 3 months . If the rent of the land is Rs. 175000, how much must C pay as his share of rent? A.45000 B.50000 C.57000 D.64000

Last Answer : Answer – A (45000) Explanation – A : B : C = 10 x 7 : 12 x 5 : 15 x 3 = 70 : 60 : 45 = 14 : 12 : 9. ∴ C’s rent = Rs. [175000 x 9/35] = Rs. 45000.

X, Yand Z enter into a partnership by investing in the ratio of 6 : 4: 8. After 1 year, Y invests another Rs. 540,000 and Z, at the end of 2 years, also invests Rs.540,000. At the end of three years, profit is are shared in the ratio of 6 : 8 : 10. Find initial investment of Z. A) 7,20,000 B) 8,80,000 C) 6,50,000 D) 5,50,000.

Description : X, Yand Z enter into a partnership by investing in the ratio of 6 : 4: 8. After 1 year, Y invests another Rs. 540,000 and Z, at the end of 2 years, also invests Rs.540,000. At the end of three years, profit is ... 10. Find initial investment of Z. A) 7,20,000 B) 8,80,000 C) 6,50,000 D) 5,50,000. 

Last Answer : Answer: A) Let the initial investments of X, Yand Z be Rs. 6x, Rs. 4x and Rs. 8x respectively. Then, (6x * 36) : [(4x * 12) + (4x + 540000) x 24] : [(8x * 24) + (8x +540000) x 12]=6:8:10 ... =3/4 => 864x = 432x + 38880000 => 432x = 19440000 x=90000 Z's initial investment = 8x = Rs. 7,20,000.

Tarani and Ruba invest in a business ratio 7:8. If 24% of the total profit goes to charity and Ruba 's share is Rs 1506. Then then profit goes to Tarani and Ruba is A) 1675 B 2688 C) 2823 D) 1495

Description : Tarani and Ruba invest in a business ratio 7:8. If 24% of the total profit goes to charity and Ruba 's share is Rs 1506. Then then profit goes to Tarani and Ruba is A) 1675 B 2688 C) 2823 D) 1495

Last Answer : Answer: C)  Let total profit =X  Balance profit after =76%of X  Ruba’s share =76/100 *x*8/15=1506  X=Rs.3715  Then the profit =3715*76/100=Rs2823

Suja and Madhavi are partners in a business, Suja invests Rs.42000 for 9 months and Madhavi invests Rs.54000 for 12 months. Then, out of a profit of 38750 find suja’s profit? A) Rs.14330 B) Rs.14590 C) Rs.14650 D) Rs.14276

Description : Suja and Madhavi are partners in a business, Suja invests Rs.42000 for 9 months and Madhavi invests Rs.54000 for 12 months. Then, out of a profit of 38750 find suja’s profit? A) Rs.14330 B) Rs.14590 C) Rs.14650 D) Rs.14276

Last Answer : Answer: D) Ratio of their shares = (42000*9) : (54000*12) = 378 : 648 = 7:12 Suja’s share = Rs(38750 * 7/19) = Rs.14276

Ajay and vivek are active partner in a particular work. Ajay receive 1/7th of the capital for 84 months and vivek receives 1/8 th of the profit, for how long vivek amount was used? a) 11 b) 8. C) 4 d) 2

Description : Ajay and vivek are active partner in a particular work. Ajay receive 1/7th of the capital for 84 months and vivek receives 1/8 th of the profit, for how long vivek amount was used? a) 11 b) 8. C) 4 d) 2 

Last Answer : Answer: D) Let total profit be A. Profit earned by vivek =1/8*A. Profit earned by Ajay =7/8 *A Ratio of vivek & Ajay =1:7 Let total capital investment be Z Ajay receive 1/7th of Z for 84 months Vijay receive 6/7th of Z for Y months 7/1=(1/7*Z*84)/(6/7*Z*Y) => Y = 2month