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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. 3600Rs. 1900Rs. 2000Rs. 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. 3600Rs. 1900Rs. 2000Rs. 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 was Rs. 16000 for the first 3 months, then he withdrew Rs. 5000, so for the next 9 months his capital was Rs. 11000. So, P's capital for the year is (160003 + 110009) = Rs. 123000.

  2. Q's capital was Rs. 12000 for the first 3 months, then he added Rs. 5000, so for the next 9 months his capital was Rs. 17000. So, Q's capital for the year is (120003 + 170009) = Rs. 171000.

  3. R's capital was Rs. 21000, but he joined the business only after 6 months. So, R's capital for the year is (21000*6) = Rs. 126000.

The total capital in the business for the year is (123000 + 171000 + 126000) = Rs. 420000.

The share of each person in the profit is proportional to their capital in the business. So,

  • P's share of the profit is (123000/420000)*26400 = Rs. 7800.
  • Q's share of the profit is (171000/420000)*26400 = Rs. 10700.
  • R's share of the profit is (126000/420000)*26400 = Rs. 7920.

The share of Q exceeds that of R by Rs. (10700 - 7920) = Rs. 2780.

So, none of the options given are correct. The share of Q exceeds that of R by Rs. 2780.

This problem has been solved

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