Multiple choice

Mr. P and Mr. Q invested in a small business in a ratio of 5 : 6. After 5 months of their investment, Mr. P withdrew one-fifth of his amount and Mr. Q invested the same amount as Mr. P withdrew. At the end of the year, they received Rs. 19,800 as a profit on their investment. Find out the share of Mr. Q in the profit.

  1. Rs. 7,950

  2. Rs. 11,850

  3. Rs. 10,280

  4. Rs. 13,700

  5. Rs. 14,000
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Initial investment ratio 5:6. After 5 months, P withdraws 1/5 of 5x = x. P's new share = 4x. Q adds x, so Q's new share = 7x. Total profit units: P = (5x*5 + 4x*7) = 53x. Q = (6x*5 + 7x*7) = 79x. Total = 132x = 19800. x = 150. Q's share = 79 * 150 = 11850.

AI explanation

The profit sharing ratio is the product of investment and time, where P's ratio is (5 for 5 months) plus (4 for 7 months), equaling 25 + 28 = 53. Q's ratio is (6 for 5 months) plus (7 for 7 months), equaling 30 + 49 = 79. The total profit of Rs. 19,800 is divided into 132 parts (53 + 79), so Q's share is 79 multiplied by 150, which equals Rs. 11,850.

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