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.

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. 
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1 Answer

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

216x : (144x + 12960000) : (288x + 6480000) = 6 : 8 : 10

216x /(144x+12960000)=3/4

=> 864x = 432x + 38880000

=> 432x = 19440000

x=90000

Z's initial investment = 8x = Rs. 7,20,000.
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X, Y, Z started a business by a share of 8:6:9. The time for which they invested was 6:7:8. The difference in the profit of X and Z is what % of difference in the profit of Zand Y? A) 65 B) 80 C) 55 D) 75

Description : X, Y, Z started a business by a share of 8:6:9. The time for which they invested was 6:7:8. The difference in the profit of X and Z is what % of difference in the profit of Zand Y? A) 65  B) 80 C) 55 D) 75

Last Answer : Answer: B)  Ratio of investment =8:6:9  Ratio of time =6:7:8  Ratio of X,Y,Z=48:42:72  =8:7:12  (X-Z)/(Z-Y) = 4/5 *100 =80%

In a company M and O invested amount in the ratio 3 : 2 whereas the ratio between amounts invested by M and N was 4 : 3. If Rs.1,80,000 was their profit, how much did N receive?(calculate approximate value) A) 75432 B) 74483 C) 76854 D) 76443

Description : In a company M and O invested amount in the ratio 3 : 2 whereas the ratio between amounts invested by M and N was 4 : 3. If Rs.1,80,000 was their profit, how much did N receive?(calculate approximate value) A) 75432 B) 74483 C) 76854 D) 76443

Last Answer : Answer: B) M : O = 3:2 O: M= 2:3 = 8:12 M:N = 4 :3 =12:9 O:M:N = 8:12:9 Therefore N’s share = Rs (1,80,000 * 12/29) =Rs(2160000/29) = Rs.74483(approx.)

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Description : Three partners shared the profit in a business in the ratio 7 :8 :9. They had partnered for 16 months, 10 months and 9 months respectively. What was the ratio of their investments? A) 2286:5599:7643 B) 2346:76543:8754 C) 5643;1254 :2345 D) 2205 :4032:5032

Last Answer :  Answer: D) Let their investments be Rs.x for 16 months, y for 10 months , Z for 9 months Then 16x : 10y :9z = 7:8:9 Now 16x / 10y = 7/8 128x = 70y Y=64/35x 16x/9z = 7/9 144x = 63z Z = 144x/63 X:Y:Z = x:64x/35 :144x/63 X:Y:Z = 2205:4032:5032.

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

M and N invested in a business in which M invests Rs.385 more than N. N invested for 9months while M invested for 5months. If M get Rs.65 more than N out of profit of Rs.1350. Then then total amount invested in the business approximately is, A) 1452 B) 7413 C) 6298 D) 5778

Description : M and N invested in a business in which M invests Rs.385 more than N. N invested for 9months while M invested for 5months. If M get Rs.65 more than N out of profit of Rs.1350. Then then total amount invested in the business approximately is, A) 1452 B) 7413 C) 6298 D) 5778

Last Answer : Answer: B)  Let investment of M is X + 385  Let investment of N is X  Profit earned of M&N is,  M/N=(X+385)*5 /x *9-------> (1)  Profit of M =65 +profit of N  Total profit = 1350=65 + ... =(x + 385) *5/(x*9)  X =392.01  Total investment =(392+385)*5+(392*9)  =Rs.7413

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

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

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

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%

X, Y, Z jointly engaged in a business. It was agreed that X would invest Rs. 14500 for 4 months,Y Rs 19000 for 7 months and Z Rs 25000 for 6 months. X wants to be a working partner and he was to receive 14% of the profit and total profit earned by X was Rs 43929. Calculate share of Z A) 55750 B) 58472 C) 67500 D) 65250

Description : X, Y, Z jointly engaged in a business. It was agreed that X would invest Rs. 14500 for 4 months,Y Rs 19000 for 7 months and Z Rs 25000 for 6 months. X wants to be a working partner and he was to ... and total profit earned by X was Rs 43929. Calculate share of Z A) 55750 B) 58472 C) 67500 D) 65250

Last Answer : Answer: C)  Ratio of X, Y, Z profit is 14500*4:19000*7:25000*6=58:133:150  Total profit be' a'  X receives 14% of a as profit for active partner  Remaining profit=86% of a  X's total profit=[86/ ... 341]+14/100*a=43929  9762/34100*a=43929 => a= Rs.153450  Share of Z =153450/341*150 =Rs 67500

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

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%

Two people abi and krish invested in a business with 7 lakh and 8 lakh rupees respectively. They agree that 46% of the profit should be divided equally among them and rest is divided between them according to their investment. If krish got Rs. 2100 more than abi, Then the total profit is, A) 55000 B) 56000. C) 58333 D) None

Description : Two people abi and krish invested in a business with 7 lakh and 8 lakh rupees respectively. They agree that 46% of the profit should be divided equally among them and rest is divided between them according to their ... more than abi, Then the total profit is, A) 55000 B) 56000. C) 58333 D) None

Last Answer : Answer: C)  Ratio of profit abi and krish is,  =>7:8  46% of then profit should be divided equally among them, remaining share is 54% of x  Abi share =54/100 * x * 7/15  Krish share =54/100 * x* 8/15  54/100 * x * 8/15 - 54/100 * x* 7/15 =2100  X =58333

A started a business with Rs. 21,000 and is joined afterwars by B with Rs. 36,000. After how many months did B join if the profits at the end of the year are divided equally? A.8 months B.2 months C.5 months D.7 months

Description : A started a business with Rs. 21,000 and is joined afterwars by B with Rs. 36,000. After how many months did B join if the profits at the end of the year are divided equally? A.8 months B.2 months C.5 months D.7 months

Last Answer : Answer – C (5 months) Explanation – let B joined after x months Then, 21000 x 12 = 36000 x (12 – x)36 = 180x = 5Hence, B joined after 5 months

A and B established a firm together. A’s investment was thrice that of B’s. A also kept the investment for twice as much time as B. If B got a profit of 4000, what was the total profit? A.30,000 B.28,000 C.40,000 D.45,000

Description : A and B established a firm together. A’s investment was thrice that of B’s. A also kept the investment for twice as much time as B. If B got a profit of 4000, what was the total profit? A.30,000 B.28,000 C.40,000 D.45,000

Last Answer : Answer- B(28,000) Explanation:- let B’s investment= X then A’s investment= 3X lets tim for B = t then,A’s time= 2t A:B 3X x 3t : X x t 6:1 B’s share= 1/7 x total = 4000 total=28,000

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

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

Meenu invested Rs.38000 in a business. After few months, ruba joined her with Rs.28500. At the end of the year, the total profit was divided between them in the ratio 2:1. After how many months did ruba joined? A) 2 months B) 3 months C) 4 months D) 5 months

Description : Meenu invested Rs.38000 in a business. After few months, ruba joined her with Rs.28500. At the end of the year, the total profit was divided between them in the ratio 2:1. After how many months did ruba joined? A) 2 months B) 3 months C) 4 months D) 5 months

Last Answer : Answer: C) Suppose Ruba joined after x months Then Ruba’s money was invested for (12-x) months. 38000 *12/28500*(12-x) = 2/1 456000 = 684000 – 57000x X = 4 Hence Ruba joined after 4 months.

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

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

X, Y & Z rent a pasture. X puts 20 cows for 5 months , Y puts 24 cows for 7 months and Z puts 30 cows for 3 months for grazing. If the rent of the pasture is Rs. 150, how much must z pay as his share of rent? A) 32 B) 39.65 C) 37.70 D) 35.20

Description : X, Y & Z rent a pasture. X puts 20 cows for 5 months , Y puts 24 cows for 7 months and Z puts 30 cows for 3 months for grazing. If the rent of the pasture is Rs. 150, how much must z pay as his share of rent? A) 32 B) 39.65 C) 37.70 D) 35.20

Last Answer : Answer: C) X : Y : Z = 20* 5 : 24* 7 : 30 * 3 = 100 : 168 : 90 =50 : 84 : 45 Therefore Z’s rent = Rs (150 * 45 / 179) = Rs.(6750/179) Rs.37.70

X, Y, Z are becomes a partner in their business with X's share receives Rs.117000. If out of a total profit of Rs 8100,X gets Rs.3900 and Y gets Rs. 2700, Z gets Rs.1500 then total capital of Y and Z is, A) 36900 B) 146000 C) 126000 D) 247000

Description : X, Y, Z are becomes a partner in their business with X's share receives Rs.117000. If out of a total profit of Rs 8100,X gets Rs.3900 and Y gets Rs. 2700, Z gets Rs.1500 then total capital of Y and Z is, A) 36900 B) 146000 C) 126000 D) 247000

Last Answer : Answer: C) Profit ratio is, X:Y:Z=3900: 2700:1500 X:Y:Z =13 :9:5 Then, X,Y,Z capitals are 13x,9x &5x X’s receives amount is, 13x=117000 =>x=9000 Total capital of Y&Z is, =9000*14=126000

X, Y, Z subscribe is Rs.25000 for a business. X subscribes Rs.2000 more than Y and Y Rs.2500 more than Z. out of a total profit of Rs.17500, X receives A) Rs.7700 B) Rs.7490 C) Rs.7350 D) Rs7320

Description : X, Y, Z subscribe is Rs.25000 for a business. X subscribes Rs.2000 more than Y and Y Rs.2500 more than Z. out of a total profit of Rs.17500, X receives A) Rs.7700 B) Rs.7490 C) Rs.7350 D) Rs7320

Last Answer : Answer: C) Let Z = y, then Y = y+2500, X = y+2500+2000 X= y+4500 So y+y+2500+y+4500 = 25000 3y = 18000 => y = 6000 X:Y:Z = 10500: 8500 : 6000 = 105 : 85 : 60 = 21:17 : 12 X’s share = Rs.(17500*21/50) = Rs.7,350

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

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