Question

Today is my exams guys. Pls help

A merchant borrowed Rs. 2000 from two money lenders. For one loan, he paid the interest at
8% per annum and for the other 6% per annum. The total
interest paid for one year was Rs. 135. How much did he
borrow at each rate?
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Answer 1

Rs 750 was borrowed at 8 % interest rate and Rs 1250 was borrowed at 6 % interest rate

Solution:

A merchant borrowed Rs. 2000 from two money lenders

Let the sum at 8 % be x

Then, the sum at 6 % be 2000 - x

The total interest paid for one year was Rs. 135

8 % of x + 6 % of (2000 - x) = 135

`(8)/(100) * x + (6)/(100) * 2000 - x = 135\\\\0.08x + 0.06 (2000 - x) = 135\\\\0.08x + 120 - 0.06x = 135\\\\0.02x = 135 - 120\\\\0.02x = 15`

Divide both sides by 0.02

x = 750

Then,

2000 - x = 1250

Thus, Rs 750 was borrowed at 8 % interest rate and Rs 1250 was borrowed at 6 % interest rate