Multiple choice

P starts a business with an initial investment of Rs.9000. After 4 months, Q enters into the partnership with an investment of Rs.12000. Again after two months R enters with an investment of Rs.15000. If R receives Rs.922.5 in the profit at the end of the year, what is the total annual profit? P रु.9000 का प्रारम्भिक निवेश करके एक व्यापार की शुरुआत करता है | चार माह बाद, Q रु.12000 का निवेश करके साझे में आ जाता है | पुनः 2 माह बाद R रु.15000 का निवेश करके साझे में आ जाता है | यदि R वर्ष के अंत में रु.922.5 लाभ के रूप में प्राप्त करता है, कुल वार्षिक लाभ क्या है ?

  1. Rs./रु.3013.5

  2. Rs./रु.3163.5

  3. Rs./रु.3263.5

  4. Rs./रु.3040
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A Correct answer
Explanation

P invests Rs.9000 for 12 months, Q invests Rs.12000 for 8 months, R invests Rs.15000 for 6 months. Ratio of investments = 9000×12 : 12000×8 : 15000×6 = 108000 : 96000 : 90000 = 12 : 10.67 : 10. R's share = 922.5, so 10 units = 922.5. Total profit = (12 + 10.67 + 10) × 92.25 = 32.67 × 92.25 ≈ Rs.3013.5.

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