Learn and practice Aptitude questions and answers with explanation for interview, competitive exam (Pariksha Corner )

Saturday, December 14, 2019

A builder borrows Rs.2550 to be paid back with compound interest at the rate of4% per annum by the end of 2 yr in two equal yearly installments. How muchwill each installment be?

A builder borrows Rs.2550 to be paid back with compound interest at the rate of 4% per annum by the end of 2 yr in two equal yearly installments. How much will each installment be?
ARs.1352
BRs.1377
CRs.1275
DRs.1283

Correct answer is: Rs.1352

Explanation:

Amount = Rs 2550

Rate = 4% per annum

Time = 2 years

Applying the formula

\(P= \frac{X}{\Big(1+\frac{r}{100}\Big)^n}+ …………………….\frac{X}{\Big(1+\frac{r}{100}\Big)}\)

Here we have two equal installments, so

\(P= \frac{X}{\Big(1+\frac{r}{100}\Big)^2} + \frac{X}{\Big(1+\frac{r}{100}\Big)}\)

\(\implies 2550= \frac{X}{\Big(1+\frac{4}{100}\Big)^2} + \frac{X}{\Big(1+\frac{4}{100}\Big)}\)

\(\implies X = \text{ Rs 1352}\)

 

prakash
answered Dec 23 '2019 at 10:32

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