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A borrowed a loan from B at 8% simple interest for 2 years and repaid the loan with interest totaling 1,91,864. The amount of loan taken by A is?Options168,920164,492165,400166,540

Question

A borrowed a loan from B at 8% simple interest for 2 years and repaid the loan with interest totaling 1,91,864. The amount of loan taken by A is?Options168,920164,492165,400166,540

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Solution

To solve this problem, we need to use the formula for simple interest which is I = PRT/100, where I is the interest, P is the principal amount (the loan), R is the rate of interest, and T is the time.

In this case, we know the total amount repaid (which is the sum of the loan and the interest), the rate of interest, and the time. We need to find the loan amount (P).

Let's denote the loan amount as P. The total amount repaid is P + I = 1,91,864. The interest I can be expressed as PRT/100 = P82/100 = P*16/100 = 0.16P.

So, we can write the equation as P + 0.16P = 1,91,864. Solving this equation for P gives us P = 1,91,864 / 1.16 = 1,65,400.

So, the amount of loan taken by A is 1,65,400.

This problem has been solved

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