1. Suresh started a business with Rs.20,000. Kiran joined him after 4 months with Rs.30,000. After 2 months, Suresh withdrew Rs.5,000 of his capital and 2 more months later, Kiran brought in Rs.20,000 more. What should be the ratio in which they should share their profits at the end of the year?

1. 21:32

2. 32:21

3. 12:17

4. 17:12

Answer & Explanation

Answer:- 1

Explanation :-

Suresh’s Total investement = 20000 for initial 6 months and 15000 for the next 6 months. = ( 20000*6 + 15000*6)

Kiran’s Total investement = 30000 for 4 months and Rs.50000 for next 4 months = (30000*4 + 50000*4)

Suresh : Kiran = ( 20000*6 + 15000*6) : (30000*4 + 50000*4) = (20*6 + 15*6) **:** (30*4 + 50*4)

= (20*3 + 15*3) **:** (30*2 : 50*2)

= 105 : 160

= 21 **:** 32

2. Kamal started a business with Rs.25000 and after 4 months, Kiran joined him with Rs.60000. Kamal received Rs.58000 including 10% of profit as commission for managing the business. What amount did Kiran receive?

1. 75000

2. 70000

3. 72000

4. 78000

Answer & Explanation

Answer:- 3

Explanation :-

Ratio of the profits = 25000*12 **:** 60000*8 = 5 **:** 8

Let the total profit = x.

Then Kamal received= 10x/100 = x/10 as commission for managing the business

Remaining profit = x – (x/10) = 9x/10 which is shared in the ration 5:8

Kamal’s share = x/10 + (9x/10) * (5/13) = 58000

x + 9x(5 / 13) = 580000

x(1 + 45/13) = 580000

x ( 58/13) = 580000

x ( 1/13) = 10000

x = 130000

Kiran’s share = 130000 – 58000 = 72000

3. A and B started a partnership business investing Rs. 20,000 and Rs. 15,000 respectively. C joined them with Rs. 20,000 After six months. Calculate B’s share in total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business?

1. 7500

2. 8500

3. 9000

4. 8000

Answer & Explanation

Answer:- 1

Explanation :-

A : B : C = (20,000 x 24) : (15,000 x 24) : (20,000 x 18) = 4 : 3 : 3

B’s Share = 25000 * (3/10) = Rs. 7500

4. A starts a business with a capital of Rs. 85,000. B joins in the business with Rs.42500 after some time. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1?

1. 5 months

2. 6 months

3. 7 months

4. 8 months

Answer & Explanation

Answer:- 4

Explanation :-

lets assume B joined for x months .

Therefore,

( 85000 * 12 ) / (42500 * x) = 3.

x = (85000 * 12) / (42500 * 3)

x = 8.

Therefore, B joins for 8 months.

5. A starts a business with Rs.40,000. After 2 months, B joined him with Rs.60,000. C joined them after some more time with Rs.1,20,000. At the end of the year, out of a total profit of Rs.3,75,000, C gets Rs.1,50,000 as his share. How many months after B joined the business, did C join?

1. 4 months

2. 5 months

3. 6 months

4. 7 months

Answer & Explanation

Answer:- 1

Explanation :-

Let’s assume C joins for x months .

A : B : C = (40000*12) **:** (60000 * 10) **:** (120000*x)

=> (40*12) **:** (60*10) **:** (120x)

=> 40 **:** 5*10 **:** 10x => 4 : 5 : x

C’s share = (375000 * x) / (9 + x) = 150000

=> (375x) / (9 + x) = 150

=> 15x = 6(9 + x)

=> 5x = 18 + 2x

=> 3x = 18

=> x = 6

B joins for 10 month & C joins for 6 months

Therefore , C joined after 4 months when B joined