Multiple choice

In a business, the ratio of investment of Raghu & Suresh is 9 : 14. They shared the profit at the end of year in the ratio of 15 : 7. If Raghu invested his capital for 10 months then after how many months did Suresh join the business? एक व्यापार में रघु और सुरेश के निवेश का अनुपात 9: 14 है। वे वर्ष के अन्त में 15: 7 के अनुपात में लाभ बांटते हैं। यदि राघु ने 10 माह के लिए व्यापार में निवेश किया तो व्यापार में सुरेश ने कितने माह बाद निवेश किया?

  1. 11 months

  2. 8 months

  3. 9 months

  4. 7 months
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C Correct answer
Explanation

Partnership profit ratio = (investment × time). Raghu invested 9× for 10 months, Suresh invested 14× for t months. Profit ratio: (9×10):(14×t) = 90:14t = 15:7. So 90/14t = 15/7, giving 630 = 210t, so t = 3. This means Suresh invested for 3 months, so he joined after 12 - 3 = 9 months.

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