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QUESTION: 1

P, Q and R invested some amount to start a business. P invest 500 for 12 months, Q invest 600 for some months and R invested 540 more than 2 months invested by Q.At the end of the year total profit earned is Rs.2200 while Q received Rs.480 then Q invested foe how many months ?

Solution:

Answer – D.8 months Explanation : 500*12 : 600*x : 540*x+2 500*12 : 600*8 : 540*10

6000:4800:5400 = 60:48:54 = 10:6:9

Q = 2000*6/25 = 480

QUESTION: 2

A, B, C start a business. A contributes 1/5 of total capital invested in business.B contributes as much as A and C together. Total profit at the end of the year was Rs.7200.What was B’s Share in the profit ?

Solution:

Answer – C.Rs.3600 Explanation : A = x/5 Remaining = 4x/5 = B+C B = x/2 ,C = 4x/5 –x/2 =3x/10 x/5 : x/2 : 3x/10 = 2:5:3 P = 7200*5/10 = 3600

QUESTION: 3

Prabu, Hari and Riya started a business in partnership by investing Rs.38500, Rs.49500 and X respectively. At the end of the year they earned a total profit of Rs.101500 and Riya’s share in the profit is 45500 find X ?

Solution:

Answer – A.Rs.71500 Explanation : X = 71500

38500*12:49500*12 : x*12 = 7:9:12x = 7:9:13 Profit = 101500*13/29 = 45500

QUESTION: 4

Vinay started a business by investing Rs. 32000.After 2 months Vardhan joined him with some investments. At the end of the year the total profit was divided in the ratio 8:5.How much capital was invested by Vardhan ?

Solution:

Answer – D.Rs.24,000 Explanation : 32000*12/x*10 = 8/5 19,20,000 = 80x X = 1920000/80 = 24,000

QUESTION: 5

A Company makes a profit of Rs.7,60,000, 20% of which is paid as taxes. If the rest is divided among the partners X, Y and Z in the ratio 5:3:4 then the share of X is

Solution:

Answer – B.Rs.1,52,000 Explanation : 20% = 760000*20/100 = 152000

Remaining = Rs.6,08,000 X = 6,08,000*3/12 = 1,52,000

QUESTION: 6

Rs.9750 are divided among K,L and M so that K may receive one half as much as L and M together receive and L receive one fifth of what K and M together receive.How much did M recieve

Solution:

Answer – A.4875 Explanation : K =L+M/2

L = K+M/4

2:1:3 = 9750*3/6 = 4875

QUESTION: 7

Sahir started a software business by investing Rs. 30,000 . After six months , Nikil Joined him with a capital of Rs. 50,000 . After 2 years , they earned a profit of Rs . 22,500 . What was Sahir’s share in the profit ?

Solution:

Answer – D.Rs.10,000 Explanation : 30,000*4 : 50,000*3 = 12:15 = 4:5

Sahir = 22500*4/9 = 10000

QUESTION: 8

In a business Ishu invested 4 times that of Kathir and the period of investment of Ishu is 1/2 times that of Kathir.Then their profit ratio is:

Solution:

Answer – B.2:1 Explanation : 4:1

½ :1 => 1:2

Ratio of profit = 4:2 = 2:1

QUESTION: 9

In a partnership, A invests 1 / 2 of the capital for 1 / 3 of the time, B invests 1 / 4 of the capital for 1 / 3 of the time and C invests for 1/5 for 1/4 of the time.Out of the profit of Rs. 17622 at the end of a year, find A’s share in the profit.

Solution:

Answer – A.Rs.9790 Explanation : (1 / 2 × 1 / 3) : (1 / 4 × 1 / 3) : ( 1 / 5 × 1 / 4)

(1 / 6) : (1 / 12) : (1 / 20) = (10 / 60) : (5 / 60) : (3 / 60)

10 : 5 : 3

A’s profit = 17622*10/18 = Rs.9790

QUESTION: 10

M start a business with Rs.26000 after 3 months N joined with Rs.16000. After some more months K joined with Rs.25000. At the end of the year they earned a total profit of Rs. 17000 and K gets Rs.4208 as his share.After how many months K joined the business after N ?

Solution:

Answer – A.3 Explanation : 26000*12 : 16000*9 : 25000*6

312:144:150 = 156 : 72 : 75

K’s share = 17000* 75/303 = 4208 9-6 = 3

QUESTION: 11

A and B starts a business and invests Rs. 20,000 and Rs. 30,000 respectively. B is an active partner and he gets 25% of the profit separately. If their business yields them a total of Rs. 30,000 as profit, what is the share of B at the end of a year?

Solution:

D) Rs 21,000 Explanation: Ratio in which they get profits is 20,000 : 30,000 = 2 : 3 B gets 25% of 30,000 = 7,500 Profit left which is to be divided in ratio 2 : 3 = 30,000 – 7,500 = 22,500 Now B gets [3/(2+3)] * 22,500 = 13,500 So total share of B = 7500+13500

QUESTION: 12

In a business A and C invested amounts in the ratio 3:2, whereas A and B invested amounts in the ratio 4:1. If the total profit at the end of a year is Rs 35,650, find the share of A.

Solution:

A) Rs 18,600 Explanation: B/A = 1/4, A/C = 3/2

So B : A : C = 1*3 : 4*3 : 4*2 = 3 : 12 : 8 Share of A = [12/(3+12+8)] * 35,650

QUESTION: 13

3 partners started a business. The capital invested by B was two-third that of A and also it was thrice the investment of C. Find the share of B out of a total profit of Rs 3,33,200.

Solution:

D) Rs 1,17,600 Explanation: Let investment of B = Rs x, then of A = (3/2)*x, and of C = (1/3)*x So their profit sharing ratio A : B : C = (3/2)*x : x : (1/3)*x = 9 : 6 : 2 Share of B = [6/(9+6+2)] * 333,200

QUESTION: 14

A starts a business with Rs 20,000 and after 4 months B also joins with some capital. After a year, the profit is divided between them in the ratio 5 : 3. How much did B invested?

Solution:

B) Rs 18,000 Explanation: Let B invests Rs x, then ratio of their profits 20000*12 : x*8 = 30,000 : x So 30,000/x = 5/3 Solve, x = 18,000

QUESTION: 15

A, B and C enter into a partnership in the ratio 2 : 3 : 5 . After 2 months, A increases his share 20% and B by 10%. If the total profit at the end of one year is Rs 1,90,500, what is the share of C at the end of year?

Solution:

B) Rs 90,000 Explanation: Let amounts invested be 2x, 3x, 5x resp.

Then ratio of profits = A : B : C

2x*2 + (120/100)*2x*10 : 3x*2 + (110/100)*3x*10 : 5x*12 28x : 39x : 60x C’s share = [60/(28+39+60)] * 190500

QUESTION: 16

A puts Rs 50 and B puts Rs 45 in a game. At the end of 4 months, A withdrew half of his money and at the end of 6 months B also withdrew half of his money.Now C also wants to play and puts Rs 70 and remains until the end of year. In what ratio the profit will be divided among them?

Solution:

E) None of these Explanation: A’s share : B’s share : C’s share 50*4 + (50/2) * 8 : 45*6 + (45/2) * 6 : 70*6

80 : 81 : 84

QUESTION: 17

A and B started a business by investing Rs 8,000 and Rs 9,000 respectively.After 4 months A withdrew Rs 400 and B added Rs 400 more. What is the share of B from the profit of Rs 10,200?

Solution:

C) Rs 5560 Explanation: 8000*4 + 7600*8 : 9000*4 + 9400*8

116 : 139

Share of B = 139/(116+139) * 10200 = 5560

QUESTION: 18

Out of a total profit of Rs 12,000, A received Rs 8000 as his share. If A invested Rs 20000 for 6 months while B invested his amount for the whole year, then find the amount that B invested.

Solution:

D) Rs 5,000 Explanation: Profits ratio = 8000 : 4000 = 2 : 1 So 20,000*6 : x*12 = 2 : 1 10000/x = 2/1 x = 5,000

QUESTION: 19

The profit received at the end of a year is divided among A, B and C in the ratio 5:4:7 respectively. The share of A is Rs 2300 more than that of B. What is the amount that C got?

Solution:

D) Rs 16,100 Explanation: Their shares are 5x, 4x, 7x resp. 5x – 4x = 2300 x = 2300 So C got 7*2300

QUESTION: 20

In a business, A in invests 1/4th of the total capital for 1/4th of the time. B invests 1/5th of the total capital for half of the time and C invests the remaining capital for the whole time. What is the share of C in the total profit of Rs 7410?

Solution:

C) Rs 5720 Explanation: Let the whole time is 1. then A invests for 1/4, B invests for 1/2 and C for whole 1.

Contribution of C = 1 – (1/4 + 1/5) = 11/20 So A’s share : B’s share : C’s share 1/4 * 1/4 : 1/5 * 1/2 : 11/20 * 1

1/16 : 1/10 : 11/20

5 : 8 : 44

Share of C in profit = 44/(5+8+44) * 7410 = 5720

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