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?
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.
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