Multiple choice

P, Q and R enter into a business by investing in the ratio of 4 : 7 : 9. After 6 months, R withdraw half of his capital. The initial investment of P is Rs. 28000. If the total profit at the end of the year is Rs. 88750, then find the share of Q?

  1. Rs. 21000

  2. Rs. 27500

  3. Rs. 35000

  4. Rs. 30500

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

P's investment is 28000, which corresponds to 4 parts, so 1 part is 7000. P, Q, and R invested 28000, 49000, and 63000 respectively; R withdrew half after 6 months, making his effective investment (63000*6 + 31500*6). Calculating the profit sharing ratio based on these investments leads to Q's share.

AI explanation

Since P's initial investment is Rs. 28000, one ratio unit equals 28000 divided by 4, which is 7000, making Q's investment 7 times 7000 equals Rs. 49000. The effective capital ratio for the year is 4 times 12 for P, 7 times 12 for Q, and 9 times 6 plus 4.5 times 6 for R, simplifying to 48 : 84 : 81. Q's share of the total profit is 84 divided by 213, multiplied by the total profit of Rs. 88750, resulting in Rs. 35000.

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