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 3/4%` , then the amount invested in each share was (a) Rs 52,500; Rs 47,500 (b) Rs 62,500; Rs 37,500 (c) Rs 72,500; Rs 27,500 (d) Rs 82,500; Rs 17,500

Options

A. ₹ 52500, ₹ 47.500
B. ₹ 62.500, ₹ 37.500
C. ₹ 72500, ₹ 27.500
D. ₹ 82500, ₹ 17.500

Answer

D

Explanation

Let the sum invested at 9 % be ₹x and that invested at 11% be ₹ (100000-x).
` Rightarrow ((x xx 9 xx 1)/100) + ( ((100000 -x)xx11xx1)/100)`
` - ( 100000 xx 39/4 xx 1/100)`
` Rightarrow ( 9x + 1100000 -11x)/100 = 39000/4 = 9750`
` Rightarrow 2x = ( 1100000 - 975000) = 125000 Rightarrow x= 62500`
SUm invesred at 9% = ₹ 62500.
Sum invested at 11% = ₹ ( 100000 - 62500) = ₹ 37500)
Alternate solution :
Total percentage ioncrease is ` 9"" 3/4` in a year.
Percentage increase in both the schemes
9%( ` I ^("st") and II^("nd") ` scheme) + 2 % (second scheme)
`Rightarrow3/4 % " of " 10000 = 2% ( "second scheme") `
` Rightarrow " second scheme " = 3/8 % " of " 100000 = 37500`
Amount invested = ( 62500, 37500)