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Option 4 : 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.

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