Question
Aman and Bharat together begin a business by investing
in the ratio 8:6 respectively. After 6 months, Chetan joins them with an investment equal to the average of Aman’s and Bharat’s investments. After 12 months from the beginning, the business earned a total profit of Rs. 3,64,000. How much profit did Bharat receive?Solution
ATQ,
Let the investments of Aman and Bharat be Rs. 8x and Rs. 6x respectively. Then, Chetan’s investment = (8x + 6x) ÷ 2 = Rs. 7x Now calculate the effective investments: Aman = 8x × 12 = 96x Bharat = 6x × 12 = 72x Chetan = 7x × 6 = 42x (joined after 6 months) So the ratio of profit sharing = 96 : 72 : 42 Simplify the ratio = 16 : 12 : 7 
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