1.

The interest on a sum of Rs. 2000 is being compounded annually at the rate of 4% per annum. Find the period for which the compound interest is Rs. 163.20.

Answer»

Given details are,

Rate = 4 % per annum

CI = Rs 163.20

Principal (P) = Rs 2000

By using the formula,

CI = P [(1 + R/100)n – 1]

163.20 = 2000[(1 + 4/100)n – 1]

163.20 = 2000 [(1.04)n -1]

163.20 = 2000 × (1.04)n – 2000

163.20 + 2000 = 2000 × (1.04)n

2163.2 = 2000 × (1.04)n

(1.04)n = 2163.2/2000

(1.04)= 1.0816

(1.04)n = (1.04)2

So on comparing both the sides, n = 2

∴ Time required is 2years.



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