# Examples(Set 1) - Partnership

1. Sriram and Prajwal invest Rs.21000 and Rs.17500 respectively in a business. At the end of the year, they make a profit of Rs.26400. What is the share of Sriram in the profit?

A. Rs.12000

B. Rs.12500

C. Rs.26400

D. Rs.14400

Explanation:

Ratio of the investment

=21000:17500

=210:175

=6:5

Share of Prajwal in the profit

=26400×5/(5+6)

=12000

Share of Sriram in the profit

=26400×6/(5+6)

**=14400**
2.Samhita starts a business with Rs.45000. Ojashvi joins in the business after 3 months with Rs.30000. What will be the ratio in which they should share the profit at the end of the year?

A. 1:2

B. 2:1

C. 3:1

D. 1:3

Explanation:

Samhita invested the money =12 months

Ojashvi invested the money = 12-3=9 months

Ratio in which they should share the profit

= Ratio of the investments multiplied by the time period

=45000×12:30000×9

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

A. 12:17

B. 32:21

C. 17:12

D. 21:32

Explanation:

Vaishak invested 20000 for initial 6 months and 15000 for the next 6 months. Hence his term of ratio

=(20000×6+15000×6)

Sachin invested Rs.30000 for 4 months and Rs.50000 for next 4 months. Hence his term of ratio

=(30000×4+50000×4)

Vaishak : Sachin

=(20000×6+15000×6):(30000×4+50000×4)

**=21:32**

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

A. 75000

B. 72000

C. 78000

D. 70000

Answer: Option B

Explanation:

Ratio of the profits of Vrushabh and Vinay
=25000×12:60000×8=5:8

Let the total profit =T

Then Vrushabh received 10T/100= T/10 as commission

Remaining profit =T-T/10=9T/10 which is shared in the ratio 5:8

Total amount received by Vrushabh = T/10 +(9T/10 x 5/13)

T/10 +(9T/10 x 5/13)=58000

T=13000

*Vinay's share =130000-58000=72000*

5. 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?

A. 8000

B. 9000

C. 7500

D. 8500

Explanation:

A : B : C

=20000×24:15000×24:20000×18

=4:3:3

B's share = 25000 x 3/10

**=7500**