ArithmeticIn what time will Rs. 8000 amounts to Rs. 8820 at 10% per annum, if interest being compounded half yearly.

In what time will Rs. 8000 amounts to Rs. 8820 at 10% per annum, if interest being compounded half yearly.

If interest is calculated half – yearly

$S = P {[1 + \frac{R}{200}]}^{2 n},$ n is taken in years

$8820 = 8000 {[1 + \frac{10}{200}]}^{2 n}$

$\frac{882}{800} = {(\frac{21}{20})}^{2 n}$

$\frac{441}{400} = {(\frac{21}{20})}^{2 n}$

${(\frac{21}{20})}^{2} = {({(\frac{21}{20})}^{n})}^{2}$

$S o, n = 1$