Question
An amount of Rs. 1,00,000 is invested in two types of shares. The first yields an interest of 9% per annum and the second, 11% per annum. If the total interest at the end of one year is 9 3/4 %, then the amount invested in each share was:
Answer: Option C
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Let the sum invested at 9% be Rs. a and that invested at 11% be Rs. (100000 - a).
Then,
a x 9 x 1
100
+
(100000 - a) x 11 x 1
100
=
100000x
39
x
1
4
100
9a + 1100000 - 11a
=
39000
= 9750
100
4
2a = (1100000 - 975000) = 125000
a = 62500.
Sum invested ar 9% = Rs. 62500.
Sum invested ar 11% = Rs. (100000 - 62500) = Rs. 37500.
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