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Select the correct answerP and Q entered into a partnership investing Rs.16000 and Rs. 12000 respectively. After 3 months P withdraw Rs. 5000, while Q invested Rs. 5000 more. After 3 more months R joins the business with a capital of Rs. 21000. The share of Q exceeds that of R, out of the total profit of Rs. 26400 after one year byOptionsRs. 1900Rs. 2000Rs. 3600Rs. 6800

Question

Select the correct answerP and Q entered into a partnership investing Rs.16000 and Rs. 12000 respectively. After 3 months P withdraw Rs. 5000, while Q invested Rs. 5000 more. After 3 more months R joins the business with a capital of Rs. 21000. The share of Q exceeds that of R, out of the total profit of Rs. 26400 after one year byOptionsRs. 1900Rs. 2000Rs. 3600Rs. 6800

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Solution

To solve this problem, we need to calculate the capital for each person for the period they invested in the business.

  1. P's capital: Rs. 16000 for 3 months + Rs. 11000 for the next 9 months = Rs. 48000 + Rs. 99000 = Rs. 147000
  2. Q's capital: Rs. 12000 for 3 months + Rs. 17000 for the next 9 months = Rs. 36000 + Rs. 153000 = Rs. 189000
  3. R's capital: Rs. 21000 for 6 months = Rs. 126000

The ratio of their capitals is P:Q:R = 147000:189000:126000 = 7:9:6

The total profit is Rs. 26400, so the shares of P, Q, and R are:

  1. P's share = 7/22 * Rs. 26400 = Rs. 8400
  2. Q's share = 9/22 * Rs. 26400 = Rs. 10800
  3. R's share = 6/22 * Rs. 26400 = Rs. 7200

The share of Q exceeds that of R by Rs. 10800 - Rs. 7200 = Rs. 3600

So, the correct answer is Rs. 3600.

This problem has been solved

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