Question

find the compound interrst on 1000 for 6 months at 20% per annum ,compounded quaterly​

Answer 1

SOLUTION:-

Given:

⚫Principal,(P)= Rs.1000

⚫Time,(n)= 6months

=) 6/12

=) 1/2 × 4 [quarterly]

=) 2 years

⚫Rate, (r)= 20%

Now,

Using formula of Compound Interest;

⚫C.I.= Amount - Principal.

&

$a = p(1 + \frac{r}{100} ) {}^{n} \\ \\ = > 1000(1 + \frac{20}{4 \times 100} ) {}^{2} \\ \\ = > 1000(1 + \frac{20}{400} ) {}^{2} \\ \\ = > 1000(1 + \frac{1}{20} ) {}^{2} \\ \\ = > 1000( \frac{20 + 1}{20} ) {}^{2} \\ \\ = > 1000( \frac{21}{20} ) {}^{2} \\ \\ = > 1000 \times \frac{21}{20} \times \frac{21}{20} \\ \\ = Rs.(2.5 \times 21 \times 21) \\ \\ = > Rs.1102.5$

Now,

C.I.= A - P

C.I.= Rs.(1102.5 - 1000)

C.I.= Rs. 102.5

Hope it helps ☺️