X and Y started a business for a year. X’s investment is half of Y’s investment. After 4 months, Y left and after 2 more months, Z joined with Rs. P amount. Profit share received by X and Z is same and Y’s initial investment is Rs. 24000. Y received Rs. 250 per month as salary out of the total profit of Rs. Q. From the given statement which of the following can be determined? A. Value of P. B. Value of Q if Y received total Rs. 25000 C. Profit share of X Correct Answer Only A and B Y’s initial investment is Rs. 24000 and X’s investment is half of Y’s investment; ∴ Investment by X = 24000/2 = Rs. 12000 As per the given data, X invested for 12 months, Y invested for 4 months and Z invested for 6 months. ∴ Ratio of profit sharing = 12000 × 12 : 24000 × 4 : P × 6 Option A: Since the Profit share received by X and Z is same; ∴ 144000 = 6P ⇒ P = 24000 Option B: Profit sharing ratio = 144 : 96 : 144 = 3 : 2 : 3 Now since Y received total Rs. 25000 and Rs. 250 per month as salary out of the total profit of Rs. Q; Total amount received by Y out of remaining profit (Excluding the salary of Y) = 25000 – 250 × 4 = Rs. 24000 ∴ Remaining profit (Excluding the salary of Y) = 24000 × 8/2 = Rs. 96000 ∴ Q = 96000 + 1000 = Rs. 97000 Option C: It can’t be determined since we not have any knowledge of total profit and time. ∴ Only A and B can be determined.