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Question

A principal sum of money is lent out at compound interest compounded annually at the rate of 20% per annum for 2 years . It would give Rs 2410 more if the interest is compounded half year. Find the principal sum.

A
Rs 120000
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B
Rs 125000
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C
Rs 100000
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D
Rs 110000
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Solution

The correct option is C Rs 100000
Let the principal sum be Rs.x
Then Amount (at interest compounded annually)
=x(1+20100)2=36x25
Amount (at interest compounded half yearly)
=x(1+10100)4=14641x10000
Given 14641x1000036x25=241014641x14400x10000=2410
241x10000=2410
x=Rs.100000

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