Question

fined the compound interest at the rate 10% per anum for 2 years on that principle which in 2 years at the rate of 10%per anum gives 200 as a simple interest​

Answer 1

Answer:

Rs.210

Step-by-step explanation:

let the principal be 'p'

for simple interest

SI = 200, r=10% , t=2years

$now \: si = \frac{p \times r \times t}{100}$

$= > 200 = \frac{p \times 10 \times 2}{100}$

$= > p = \frac{200 \times 100}{10 \times 2}$

$so \: \: p = 1000$

Now for compound interest

$ci = p(1 + \frac{r}{100} ) {}^{t } - p$

$= 1000(1 + \frac{10}{100} ) {}^{2} - 1000$

$= 1000 \times ( \frac{11}{10} ) {}^{2} - 1000$

$= 1000 \times \frac{121}{100} - 1000$

$= 1210 - 1000$

$= 210$

So Required compound interest = Rs.210