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Select the correct answerP and Q entered into a partnership with RS. 30,000 and RS. 60,000. After 4 months P invested RS. 15000 more while Q withdraw RS. 30000. Find the share of P in the annual profit of RS. 1,00,000.OptionsRS. 45000RS. 20000RS. 51000RS. 50000RS. 40000

Question

Select the correct answerP and Q entered into a partnership with RS. 30,000 and RS. 60,000. After 4 months P invested RS. 15000 more while Q withdraw RS. 30000. Find the share of P in the annual profit of RS. 1,00,000.OptionsRS. 45000RS. 20000RS. 51000RS. 50000RS. 40000

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Solution

To solve this problem, we need to calculate the ratio of the capital invested by P and Q throughout the year.

  1. For the first 4 months, P and Q invested RS. 30,000 and RS. 60,000 respectively. So, the ratio for the first 4 months is 300004 : 600004 = 120000 : 240000 = 1 : 2.

  2. After 4 months, P invested RS. 15000 more and Q withdrew RS. 30000. So, the new investments for P and Q are RS. 45000 and RS. 30000 respectively. For the remaining 8 months, the ratio is 450008 : 300008 = 360000 : 240000 = 3 : 2.

  3. The total ratio of P and Q's investments for the year is (14 + 38) : (24 + 28) = 28 : 24 = 7 : 6.

  4. If the total annual profit is RS. 1,00,000, then P's share of the profit is 7/(7+6) * 1,00,000 = RS. 51,000.

So, the correct answer is RS. 51000.

This problem has been solved

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