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

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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6 days 2021-09-09T00:17:55+00:00 1 Answer 0

Answers ( )

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    2021-09-09T00:19:12+00:00

    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

    \frac{8}{100} \times x + \frac{6}{100} \times 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

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