# Haritha invested certain sum of money for one half year at the rate of 15%per annum annual compound 6 month at the rate one half year see received a compound interest of 1891. 50 find the sum invested by

If the question is " Haritha invested certain sum of money for one

__and__half year at the rate of 15%per annum annual compound 6 month at the rate one

__and__half year she received a compound interest of 1891. 50 find the sum invested by"

Formula for compound interest :-

$A=P{\left(1+\frac{R}{100}\right)}^{N}$

Here N = 3, (3 six months in 1 and 1/2 years)

A = 1891.50

R = 15%

$1891.50=P{\left(1+\frac{15}{100}\right)}^{3}$

P = $1891.50\times {\left(\frac{100}{115}\right)}^{3}$ = 1243.69 = 1244

So, the sum invested is 1244 rs

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