Math, asked by reenachamoli01, 6 months ago

Find the rate per cent per annum ,if 4000 rupees amount to 5324 rupees in 1by ½ years , interest being compounded half yearly

Answers

Answered by farhafathima884840
3

Answer:

Principal (P) = ₹4,000

Rate of compound interest (r)= 10 % per annum

Amount (A) = ₹5,324

Time (years) = ?, say, t years

Now, A = P (1 + r / 100)^ t

So, 5,324 = 4000 * ( 1 + 10/ 100)^ t

Or, 5,324 = 4,000 * ( 1.1)^ t

Or, (1.1) ^t = 5,324 / 4,000 = 1.331

We know that 1.331 = (1.1)^3

So, (1.1)^t = (1.1)^3

Or, t = 3 years.

So, ₹4,000 will amount to ₹5,324 at a compound interest rate of 10 % per annum in 3 years.

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