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Question

# A certain sum amounts to Rs. 5,292 in two years and Rs. 5,556.60 in three years, interest being compounded annually. Find the original sum

A
Rs. 7000
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B
Rs. 6200
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C
Rs. 5600
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D
Rs. 4800
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Solution

## The correct option is D Rs. 4800Sum after 2 years=Rs.5292Sum after 3 years =Rs.5556.60Interest for onr year =5556.60−5292=Rs.264.60C.I for 1 year=S.I for 1 year Interest=PRT100⇒264.60=5292×R×1100⇒R=264.60×1005292=5%Let the sum=Rs. xAmount =Rs.5292, Time 2 years, R=5%Amount=P(1+R100)t⇒5292=x(1+5100)2⇒5292=x×105100×105100⇒x=5292×100×100105×105=Rs.4800

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