A person invested 1/3 of his capital at 7%; 1/4 of his capital at 8% and the remainder at 10%. If his total annual income from the investment is ₹561, then what is the total investment made by the person?एक व्यक्ति अपनी पूँजी का 1/3 भाग 7% की दर से, 1/4 भाग 8% की दर से और शेष भाग 10% की दर से निवेश करता है। यदि निवेश से उसकी कुल वार्षिक आय ₹561 है, तो व्यक्ति द्वारा किया गया कुल निवेश कितना है?

1. A6600
2. B6500
3. C7000
4. D5500

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Correct answer: A. 6600

Explanation

Remainder = 1 − 1/3 − 1/4 = 5/12. Overall rate = (1/3)(7) + (1/4)(8) + (5/12)(10) = 7/3 + 2 + 25/6 = 51/6 = 8.5%. Capital = 561 / 0.085 = ₹6600.शेष भाग = 1 − 1/3 − 1/4 = 5/12। कुल दर = (1/3)(7) + (1/4)(8) + (5/12)(10) = 7/3 + 2 + 25/6 = 51/6 = 8.5%। पूँजी = 561 / 0.085 = ₹6600।