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? एक भागीदारी में P का भाग, Q से 1000 रू. अधिक है, लेकिन P की पूंजी का निवेश 8 माह के लिए है जबकि Q की पूंजी का निवेश 12 माह के लिए है। यदि वार्षिक लाभ में P का भाग, Q के समान ही है, तो P की पूंजी क्या है?

  1. Rs.3000

  2. Rs.4000

  3. Rs.5000

  4. Rs.2000
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A Correct answer
Explanation

Let P's capital = x, then Q's capital = x−1000. Profit share = capital × time. P's profit = x × 8, Q's profit = (x−1000) × 12. Given profits are equal: 8x = 12(x−1000), so 8x = 12x − 12000, giving 4x = 12000, x = 3000. P's capital is Rs. 3000.

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