Question

please give step by step explaination​

Answer 1

SOLUTION:-

Given:

⚫Principal,(P)= Rs.6000

⚫Time,(n)= 2 years

⚫Rate, (R)= 9%

Therefore,

We know that, Formula of Compound Interest;

⚫C.I. = Amount - Principal

So,

Amount:

$</strong><strong>A</strong><strong> = </strong><strong>P</strong><strong>(1 + \frac{</strong><strong>R</strong><strong>}{100} ) {}^{n} \\ \\ = > 6000(1 + \frac{9}{100} ) {}^{2} \\ \\ = > 6000( \frac{100 + 9}{100} ) {}^{2} \\ \\ = > 6000( \frac{109}{100} ) {}^{2} \\ \\ = > 6000 \times \frac{109}{100} \times \frac{109}{100} \\ \\ = > \frac{6 \times 109 \times 109}{10} \\ \\ = > </strong><strong>R</strong><strong>s. \frac{71286}{10} \\ \\ = ></strong><strong>R</strong><strong>s.7128.6$

Now,

Compound Interest;

C.I.= A - P

=) C.I.= Rs.7128.6 - Rs.6000

=) C.I.= Rs.1128.6

Hope it helps ☺️

Answer 2

For Compound Interest,

Amount = Principal × $(1+\frac{rate (in digits)}{100} )^t \\where t=time period$

Amount = Principal $(1+\frac{9}{100} )^{2}$

= 6000 × (109/100)²

= 7128$\frac{3}{5}$

= ₹ 7128.6

Compound Interest = Amount - Principal

Compound Interest = 7128.6 - 6000

= ₹ 1128.6