'X' and 'Y' started a business with initial investments in the ratio 4 : 5. After 4 months, 'X' increased his investment by 25% while 'Y' withdrew 20% of his investment. If the total profit at the end of 1 year was Rs. 27,000, find the share of 'X' in the total profit?

Let the initial investments of 'X' and 'Y' be 4x and 5x respectively Equivalent investment of 'X' for 1 year = (4x X 4) + {4x X (1 + 0.25) X 8} Or, equivalent investment of 'X' = 16x + (5x X 8) = 16x + 40x = 56x Equivalent investment of 'Y' for 1 year = (5x X 4) + {5x X (1 - 0.20) X 8} Or, equivalent investment of 'Y' = 20x + (4x X 8) = 20x + 32x = 52x So, ratio of profit shares of 'X' and 'Y' respectively = 56x : 52x = 14 : 13 ATQ, total profit = Rs. 27,000 So, share of 'X' = 27000 X (14 / 27) So, share of 'X' = Rs. 14,000. Hence, the correct answer is C.