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A, B, and C started a business by investing Rs. 24000, Rs. 32000, and Rs. 18000 respectively. A and B are active partners and get 15% and 12% of total profit and the remaining profit is to be distributed among them in the ratio of their investments. If C got Rs. 65700 as a profit, then what was the total amount of profit? 

A, B, and C started a business by investing Rs. 24000, Rs. 32000, and Rs. 18000 respectively. A and B are active partners and get 15% and 12% of total profit and the remaining profit is to be distributed among them in the ratio of their investments. If C got Rs. 65700 as a profit, then what was the total amount of profit?  Correct Answer Rs. 370000

Given:

A, B, and C started a business by investing Rs. 24000, Rs. 32000, and Rs. 18000 respectively. A and B are active partners and get 15% and 12% of total profit and the remaining profit is to be distributed among them in the ratio of their investments

Formula Used:

Profit = Investment × Time

Calculation:

Ratio of their investment = 24 : 32 : 18

⇒ 12 : 16 : 9

Let the total profit be Rs.x

A's share of profit = 15% of x = 15x/100

B's share of profit = 12% of x = 12x/100

Remaining profit = x – (15x/100) – (12x/100) = 73x/100

C's share of profit = (9/37) × (73x/100)

According to question,

(9/37) × (73x/100) = 65700

⇒ (9/37) × (x/100) = 900

⇒ x = 370000

∴ The total profit is Rs. 370000.

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