A certain amount of money was lent for a period of 1 year 9 months at a rate of 10% per annum compounded annually. If the compound interest is ₹1,460, find the amount of money lent.
A.₹8,200
B.₹6,000
C.₹8,000✓ Correct
D.₹7,500
Explanation
1 year 9 months = 1¾ years. For compounding annually with half-year consideration: CI for 1 year at 10% then 9 months... Actually: Amount after 1 year = P×1.1. Then 9 months = ¾ year at 10% simple (for partial period): = P×1.1×(1+0.1×3/4) = P×1.1×1.075 = P×1.1825. CI = P×0.1825 = 1460, P = 1460/0.1825 = 8000.
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