Multiple choice

The share of P in a partnership is Rs.1000 more than that of Q, but capital of P is invested for 8 months while capital of Q for 12 months. If the share of P in the yearly profit is the same as that of Q, then what is the capital of P?

  1. Rs.3000

  2. Rs.4000

  3. Rs.5000

  4. Rs.2000
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A Correct answer
Explanation

In partnership, profit share = capital × time. P's capital × 8 months = Q's capital × 12 months (equal profit). P's share = Q's + 1000. Let Q's capital be x. Then P's = x+1000. So 8(x+1000) = 12x. Solving: 8x + 8000 = 12x, so 4x = 8000, x = 2000. Therefore P's capital = 3000.

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