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On what sum of  money will the difference between the simple interest and compound interest (Compound Annually) for 3 years at 5% per annum be Rs
Question

On what sum of  money will the difference between the simple interest and compound interest (Compound Annually) for 3 years at 5% per annum be Rs. 15.25?

A.

Rs. 2,500

B.

Rs. 1,000

C.

Rs. 4,000

D.

Rs. 2,000

Correct option is D

Effective rate of interest of 5% on S.I. =  5×3=15%\times 3 = 15 {\%}

Effective rate of interest of 5% on C. I for 2 years = 5+5+5×5100=10.25%5+ 5+ \frac {5\times 5}{100}= 10.25{\%}\\

Effective rate of interest of 5% on 3 years = 10.25+5+10.25×5100=15.7625%10.25+ 5+ \frac {10.25\times 5}{100} = 15.7625 {\%}

difference in S.I. and C.I = 15.7625- 15 = 0.7625%

0.7625% of P = 15.25

P= Rs. 2000

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