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Select the correct answerTwo equal amounts were borrowed at 5% and 4% simple interest. The total interest after 4 yr amounted to Rs.405. What was the total amount borrowed?

Question

Select the correct answerTwo equal amounts were borrowed at 5% and 4% simple interest. The total interest after 4 yr amounted to Rs.405. What was the total amount borrowed?

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Solution

Let's denote the amount borrowed as P. Since the amounts borrowed are equal, we can say that the total amount borrowed is 2P.

The total interest for 4 years is given by the sum of the interests from each loan. The formula for simple interest is I = PRT/100, where I is the interest, P is the principal amount (the initial amount borrowed), R is the rate of interest, and T is the time in years.

So, we have:

405 = 45P/100 + 44P/100 405 = 20P/100 + 16P/100 405 = 36P/100

To find P, we can rearrange the equation and solve for P:

P = 405 / (36/100) P = Rs. 1125

Since the total amount borrowed is 2P, the total amount borrowed is 2*1125 = Rs. 2250.

This problem has been solved

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