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
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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
\(P= \frac{X}{\Big(1+\frac{r}{100}\Big)^2} + \frac{X}{\Big(1+\frac{r}{100}\Big)}\)
\(\implies 2550= \frac{X}{\Big(1+\frac{4}{100}\Big)^2} + \frac{X}{\Big(1+\frac{4}{100}\Big)}\)
\(\implies X = \text{ Rs 1352}\)
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