Multiple choice

If A invested Rs. 12000 at some rate of interest of S.I and B joined him after 3 months investing 16000 at same rate of interest if A leaves before 2 month of completion, then what will be the share of B’s profit after 1 year if total profit is 22000 Rs.? यदि A ने SI के कुछ ब्याज दर पर 12000 रुपये का निवेश किया है, और B ने 3 महीने के बाद 16000 का निवेश उसी ब्याज दर पर किया, यदि A 2 महीने पूरा होने से पहले छोड़ देता है, तो B का लाभ 1 वर्ष के बाद क्या होगा यदि कुल लाभ 22000 रु है?

  1. 10000

  2. 14000

  3. 12000

  4. 8000

  5. 11000
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C Correct answer
Explanation

A invests ₹12000 for 10 months (from month 0 to month 10, leaving 2 months before completion). B invests ₹16000 for 9 months (from month 3 to month 12). Ratio of investments × time: A = 12000 × 10 = 120000, B = 16000 × 9 = 144000. Ratio A:B = 120000:144000 = 5:6. Total profit = ₹22000 divided in ratio 5:6 gives 11 parts. Each part = ₹2000. B's share = 6 × 2000 = ₹12000.

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