Question

compute the compound interest on rs5000 for 1 years at 16% per annum compounded half-yearly. by using C.I.

Answer 1

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Here,


Principal = 5000
Rate=16% = 16% ÷2
Time=1 year = 1x2=2

Amount =principal(1+R÷100)^n
A=5000(1+8÷100)^1
A=5000(27÷25)^1
A=5000x27÷25
A=200x27
A=5400
C.I=Amount - principal
= 5400-5000
=400

Answer 2

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P = ₹ 5000
R = 16%p.a = 16/2% c.h.yearly = 8%
T = 1 year
n = 2 for compounded half yearly

As we know

A = P(1+ R/100)^n
$= 5000(1 + \frac{8}{100} ) {}^{2} \\ = 5000(1 + \frac{2}{25} ) {}^{2} \\ = 5000( \frac{27}{25} ) {}^{2} \\ = \frac{5000 \times 27 \times 27}{25 \times 25} \\ = 5832$
So Amount = ₹ 5832

CI = A - P

=5832 - 5000

=₹ 832. Answer

Hope it helps you