1.

An amount of Rs 1,00,000 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 \(9\frac{3}{4}\%\), then the amount invested in each share was:1). Rs. 52,500; Rs. 47,500 2). Rs. 62,500; Rs. 37,5003). Rs. 72,500; Rs. 27,5004). Rs. 82,500; Rs. 17,500

Answer»

Let x be the amount INVESTED at 9% and (1,00,000 - x) be invested at 11%

According to the given condition,

$(\Rightarrow \FRAC{{x \times 1 \times 9}}{{100}} + \frac{{\left( {1,00,000 - x} \right) \times 1 \times 11}}{{100}} = \frac{{1,00,000 \times 1 \times 9.75}}{{100}})$

9X + 11,00,000 - 11x = 9,75,000

∴ 2x = 1,25,000

∴ x = 62,500

∴ The amount invested in each share is RS. 62,500 and Rs. 37,500


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