Question

Suman, Sakshi, and Mayank form a partnership. Suman invests 5 times that of Sakshi and Sakshi invests 3/5 of Mayank's investment. The total profit earned at the end of the year was Rs. 23,000. Find the share of Sakshi.

A. Rs. 5,000 

B. Rs. 3,000 

C. Rs. 4,000 

D. Rs. 45,000 

1. A
2. C
3. D
4. B

Answer 1

Correct Answer - Option 4 : B

Given:

Suman invests 5 times that of Sakshi

Sakshi invests 3/5 of Mayank's investment.

Total profit was Rs.23,000

Concept used:

Ratio of investment by all three is equal to the profit ratio distributed by them

Calculation:

Investment ratio of Suman and Sakshi is 5 : 1

Investment ratio of Sakshi and Mayank = 3 : 5

⇒ Suman : Sakshi = 5 : 1

⇒ Sakshi : Mayank = 3 : 5

Equating Sakshi's ratio in both the cases,

⇒ Suman : Sakshi = 5_×3 : 1_×3 = 15 : 3

⇒ Sakshi : Mayank = 3_×1 : 5_×1 = 3 : 5

⇒ Suman : Sakshi : Mayank = 15 : 3 : 5

The ratio of profit distribution will be same as ratio of  investment.

⇒ Profit ratio = 15 : 3 : 5

According to the question,

⇒ 15 + 3 + 5 = 23,000

⇒ 23 = 23,000

⇒ 1 = 1,000

Sakshi's share = 3 =  3 × 1000 = Rs.3,000

∴ Sakshi's income is Rs. 3,000.