Question
Siya invested a total of Rs. 35,000 in two different
schemes, 'A' and 'B'. Scheme 'A' offers a simple interest rate of 27% per annum, while Scheme 'B' provides a simple interest rate of 25% per annum. After 5 years, the total interest earned from both schemes amounted to Rs. 45,750. How much money did Siya invest in Scheme 'A'?Solution
Let the sum invested in scheme 'A' be Rs. 'a'
So, the sum invested in scheme 'B' be Rs. (35,000 - a)
ATQ,
(a X 0.27 X 5) + (35,000 - a) X 0.25 X 5 = 45750
Or, 1.35a + 43750 - 1.25a = 45750
Or, '0.1a' = 45750 - 43750
Or, 'a' = 20000
So, required amount = Rs. 20,000
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