An amount of Rs. 85000 is invested in two types of shares. The first yields an interest of 9% p.a and the second, 11% p.a. If the total interest at the end of one year is 9 3/4 %, then the amount invested in each share was?  Choices
A) s. 53125; Rs. 31875 B) s. 62500; Rs. 37500 C) s. 72500; Rs. 27500 D) s. 82500; Rs. 17500 E) s. 72500; Rs. 17500
Let the sum invested at 9% be Rs. x and that invested at 11% be Rs. (85000 - x). Then,   (x * 9 * 1)/100 + [(85000 - x) * 11 * 1]/100 = (85000 * 39/4 * 1/100)   (9x + 935000 - 11x)/100 = 39000/4 = 16575/2   x = 53125   Sum invested at 9% = Rs. 53125   Sum invested at 11% = Rs. (85000 - 53125) = Rs. 31875.   s. 53125; Rs. 31875NSWER:s. 53125; Rs. 31875
<result>A</result>
An amount of Rs. 85000 is invested in two types of shares. The first yields an interest of 9% p.a and the second, 11% p.a. If the total interest at the end of one year is 9 3/4 %, then the amount invested in each share was?