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Two persons Mukesh and Suresh enter into a partnership and Mukesh is also managing the business for which he receives Rs. 500 per month as salary. The ratio of investment of Mukesh to Suresh is 5∶9 and Suresh left after 10 months from the start. What is the ratio of profit share (including salary) of Mukesh to Suresh at the end of a year from the total profit of Rs. 66000?

Two persons Mukesh and Suresh enter into a partnership and Mukesh is also managing the business for which he receives Rs. 500 per month as salary. The ratio of investment of Mukesh to Suresh is 5∶9 and Suresh left after 10 months from the start. What is the ratio of profit share (including salary) of Mukesh to Suresh at the end of a year from the total profit of Rs. 66000? Correct Answer 5 ∶ 6

Let the initial capital of Mukesh and Suresh be 5x and 9x respectively.

Ratio of profit share of Mukesh to Suresh without salary = (5x × 12) + (9x × 10) = 2 ∶ 3

Let profit amount of Mukesh and Suresh without salary be 2a and 3a respectively.

According to the question∶

2a + (500 × 12) + 3a = 66000

5a = 60000

a = 12000

Required ratio = (2a + 6000) ∶ 3a = 30000 ∶ 36000 = 5 ∶ 6

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