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Paresh borrowed an amount of ₹23170 from Munna at an interest rate of 10% p.a., compounded annually, and repaid the entire amount in three equal annual instalments. Find the value of each instalment

Question

Paresh borrowed an amount of ₹23170 from Munna at an interest rate of 10% p.a., compounded annually, and repaid the entire amount in three equal annual instalments. Find the value of each instalment

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Solution

To solve this problem, we need to use the formula for the annual installment when the interest is compounded annually. The formula is:

P = [R/(r/(1+(r/n))^(nt))]*[(1+(r/n))^(nt)-1]

Where: P = Principal amount (the initial amount of money) R = Annual installment r = Annual interest rate (in decimal) n = Number of times that interest is compounded per year t = The time the money is invested for in years

Given in the problem: P = ₹23170 r = 10% p.a. = 0.10 n = 1 (since it is compounded annually) t = 3 years

We need to find R (the value of each installment).

Substituting the given values into the formula, we get:

23170 = [R/(0.10/(1+(0.10/1))^(13))][(1+(0.10/1))^(1*3)-1]

Solving this equation will give us the value of R, which is the value of each installment.

This problem has been solved

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