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… — Answer & Discussion

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:

ARs. 52,500; Rs. 47,500
BRs. 62,500; Rs. 37,500
CRs. 72,500; Rs. 27,500
DRs. 82,500; Rs. 17,500

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Discussion 1

CCommunity30 Jun 2019

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