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

Dear Student,

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