Multiple choice

P and Q started a business. P invested Rs.10000 for eight months of the year and Q invested Rs.6000 for the entire year. If the profit at the end of the year was Rs.5700, what was the share of Q out of this? P और Q एक व्यापार प्रारंभ करते हैं। P वर्ष के आठ माह के लिए 10000 रू. निवेश करता है और Q सम्पूर्ण वर्ष के लिए 6000 रू. निवेश करता है। यदि वर्ष के अन्त में लाभ 5700 रू. था, इसमें से Q का हिस्सा क्या था ?

  1. Rs. /रू. 2850

  2. Rs. /:- 2700

  3. Rs. /:- 1710

  4. Rs. /:-1620
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B Correct answer
Explanation

Profit sharing ratio = investment × time. P: 10000 × 8 = 80000, Q: 6000 × 12 = 72000. Ratio = 80000:72000 = 80:72 = 10:9. Q's share = 9/19 × 5700 = 2700. Standard principle: profit is distributed in proportion to capital × time. Q invested less but for longer, while P invested more but for fewer months.

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