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

Answer: Option D

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

Answer: Option B

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

Answer: Option D

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

Answer: Option C

Explanation:
A : B : C
=20000×24:15000×24:20000×18
=4:3:3

B's share = 25000 x 3/10
=7500