Two persons P and Q enter into a business. P puts Rs 14,000 more than Q, but P has invested for 8 months and…

Two persons P and Q enter into a business. P puts Rs 14,000 more than Q, but P has invested for 8 months and Q has invested for 10 months. If P's share is Rs 400 more than Q's share out of the total profit of Rs 2,000, what is the capital contributed by P?
  1. Rs 30,000
  2. Rs 26,000
  3. Rs 24,000
  4. Rs 20,000

Solution

Let Q invest Rs. X for 10 months and P invest Rs. (X + 14000) for 8 months. P's share is Rs. 1200 and Q's share is Rs. 800 (P is Rs. 400 more, total Rs. 2000). Profit is in ratio of capital x time: $\dfrac{8(X+14000)}{10X} = \dfrac{1200}{800}$. Solving: $8X + 112000 = 15X$, so $7X = 112000$, $X = 16000$. Hence P contributed $16000 + 14000 = $ Rs. 30,000.

Asked in: CSAT 2024

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