Q149
An amount of Rs. 1,00,000 is invested in two types of shares. The first yields an interest of 9% p.a. and second, 11% p.a. If the total interest at the end of one year is 93/4 %, then the amount invested in each share was -
An amount of Rs. 1,00,000 is invested in two types of shares. The first yields an interest of 9% p.a. and second, 11% p.a. If the total interest at the end of one year is %, then the amount invested in each share was -
A.
Rs. 52, 500; Rs. 47, 500
B.
Rs. 62, 500; Rs. 37, 500
AnswerC.
Rs. 72, 500; Rs. 27, 500
D.
Rs. 82, 500; Rs. 17, 500
Answer: Option B
Solution
Answer: Option B
Solution:
Let the sum invested at 9% be Rs. x and that invested at 11% be Rs. (100000 - x).Then,
\begin{aligned} & = \left( {\frac{{x \times 9 \times 1}}{{100}}} \right) + \left[ {\frac{{\left( {100000 - x} \right) \times 11 \times 1}}{{100}}} \right] \\ & = \left( {100000 \times \frac{{39}}{4} \times \frac{1}{{100}}} \right) \\ & \Leftrightarrow \frac{{9x + 1100000 - 11x}}{{100}} = \frac{{39000}}{4} = 9750 \\ & \Leftrightarrow 2x = \left( {1100000 - 975000} \right) = 125000 \\ & \Leftrightarrow x = 62500 \\ & \therefore {\text{Sum invested at 9}}\% \\ & = {\text{Rs}}{\text{. }}62500 \\ & {\text{Sum invested at 11% }} \\ & {\text{ = Rs}}{\text{.}}\left( {100000 - 62500} \right) \\ & = {\text{Rs}}{\text{. }}37500 \\\end{aligned}