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Select the correct answerP and Q started a business by investing their capitals in to ratio of 4:9. After 3 months P increased his capital to 1 ½ times. After 5 more months Q with draw 1/3 of capital. If they got RS. 5400 as the annual profit. Find the share of P in the profit.OptionsRS. 2700RS. 2200RS. 2400RS. 2600RS. 2800

Question

Select the correct answerP and Q started a business by investing their capitals in to ratio of 4:9. After 3 months P increased his capital to 1 ½ times. After 5 more months Q with draw 1/3 of capital. If they got RS. 5400 as the annual profit. Find the share of P in the profit.OptionsRS. 2700RS. 2200RS. 2400RS. 2600RS. 2800

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Solution

To solve this problem, we need to calculate the capital time (C.T) for both P and Q.

  1. For P, he invested his capital for 3 months in the ratio of 4:9, then increased his capital to 1 ½ times for the remaining 9 months (12 months in a year - 3 months = 9 months). So, the C.T for P is (43) + (1.54*9) = 12 + 54 = 66.

  2. For Q, he invested his capital for 8 months in the ratio of 4:9, then withdrew 1/3 of his capital for the remaining 4 months. So, the C.T for Q is (98) + (2/39*4) = 72 + 24 = 96.

  3. The total C.T is 66 (for P) + 96 (for Q) = 162.

  4. The share of P in the profit is (66/162) * 5400 = RS. 2200.

So, the correct answer is RS. 2200.

This problem has been solved

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