Question

Bharath invested Rs. 5000 in a bank which pays 20% p.a. compound
interest, interest being compounded semi-annually. How much interest
does she receive in one and half years?​

Answer 1

Given:

Bharath invested Rs. 5000 in a bank which pays 20% p.a. compound

interest, interest is compounded semi-annually. How much interest

does she receive in one and a half years?​

To find:

How much interest does she receive in one and a half years?

Solution:

The sum of money invested, P = Rs. 5000

The rate of interest, R = 20% p.a.

The no. of years, n = $1\frac{1}{2} \:years = \frac{3}{2} \:years$

The formula of calculating the amount when the interest is compounded semi-annually is:

$\boxed{\bold{A = [1 + \frac{\frac{R}{2} }{100}]^2^n }}$

On substituting the given values in the above formula, we get

$A = 5000 \times [1 + \frac{\frac{20}{2} }{100}]^2^(^\frac{3}{2}^) }}$

$\implies A = 5000 \times [1 + \frac{10 }{100}]^3 }}$

$\implies A = 5000 \times [ \frac{110 }{100}]^3 }}$

$\implies A = 5000 \times [ 1.1]^3 }}$

$\implies A = 5000 \times 1.331 }}$

$\implies \bold{A = 6655}$

Also,

$\boxed{\bold{Compound\:Interest = Amount - Principal}}$

∴ $\bold{C.I.} = Rs.\:6655\:-\:Rs.\:5000 = \bold{Rs.\:1655}$

Thus, Bharath received Rs. 1655 as the interest in one and half years.

---------------------------------------------------------------------------------------------

Also View:

What will Rs. 80,000 amount to in 2 years at the rate of 20% p.a., if interest is compounded half-yearly?

brainly.in/question/12159582

Principal= ₹ 2560

Rate = 25/2%

Time = 1 Year

calculate the amount and C.I. if the interest is compounded half-yearly.​

brainly.in/question/13435421

8,000 for 1 year at 9% per annum compounded half-yearly.

brainly.in/question/33685965