The difference between the compound interest and simple

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RRB TC CC Exam (Bangalore) 2007 click here to view all questions

The difference between the compound interest and simple interest on a certain sum for 2 years at the same rate of interest of 10% per annum is Rs. 42. The sum is-

ARs.4,200

BRs.42,000

CRs.420

DRs.4,500

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Answer is : A [Rs.4,200] Explanation: Let the sum be Rs.x. then S.I.= $(\frac{x \times 10 \times 2}{100})$ = $\frac{2x}{10}$ C.I = $\big[x\big(1+ \frac{10}{100}\big)^2 -x\big]$ = $\frac{121x}{100}$ $\big[x \big(\frac{121}{100}\big)-x\big] =\frac{21x}{100}$ $=\frac{21x}{100}$ $\frac{21x}{100} - \frac{2x}{10} = 42$ => $\frac{x}{100} = 42$ => x = 4200 padma ? answered Jan 2 '2019 at 21:31 All Comments

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