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A man has 32,000 rupees to lend on loan. He lent some of his capital to Rupesh at an interest rate of 20% per annum and the rest to Govind at an interest rate of 12% per annum. At the end of 1 year he got 17% of his capital as interest. How much did he lend to Rupesh?

A man has 32,000 rupees to lend on loan. He lent some of his capital to Rupesh at an interest rate of 20% per annum and the rest to Govind at an interest rate of 12% per annum. At the end of 1 year he got 17% of his capital as interest. How much did he lend to Rupesh? Correct Answer 20000

Given:

Total amount he has to lent = Rs. 32000

Formula:

Let P = Principal, R = rate of interest and N = time

Simple interest = PNR/100

Calculation:

Let capital lent to Rupesh be Rs. a.

Amount lent to Govind = Rs. (32000 - a)

Simple interest earned from Rupesh = a × 20 × 1/100 = Rs. a/5

Simple interest earned from Govind = (32000 - a) × 12 × 1/100 = Rs. (3840 - 3a/25)

Total simple interest earned from both = 32000 × 17/100 = Rs. 5440

Then,

⇒ a/5 + 3840 - 3a/25 = 5440

⇒ a = 20000

∴ Amount lent to Rupesh is Rs. 20000.

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