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A started a business by investing Rs. 8400. After 2 months B and C joined him by investing Rs. 9000 and Rs. 6000 respectively. After 4 more months, B withdrawn 1/3 part of his capital, D joined them by investing Rs. 10000 and after 4 more months A withdrawn his whole capital. After one year, A took Rs. 8400 from the total profit for starting the business and the rest profit is distributed according to their ratio. If the difference between the shares of A and B is Rs. 9600, then find the total profit.

A started a business by investing Rs. 8400. After 2 months B and C joined him by investing Rs. 9000 and Rs. 6000 respectively. After 4 more months, B withdrawn 1/3 part of his capital, D joined them by investing Rs. 10000 and after 4 more months A withdrawn his whole capital. After one year, A took Rs. 8400 from the total profit for starting the business and the rest profit is distributed according to their ratio. If the difference between the shares of A and B is Rs. 9600, then find the total profit. Correct Answer Rs. 36000

The ratio between the profit shares of A, B, C and D

: : :

84000 : 72000 : 60000 : 60000

7 : 6 : 5 : 5

Let the profit shares of A, B, C and D be 7x, 6x, 5x and 5x respectively.

According to the question:

7x + 8400 – 6x = 9600

x = 1200

The total profit = = Rs. 36000

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