Question

The simple interest on a sum of money for 2 years at 5%pa is Rs. 100. What is the compound interest on the same sum at the same rate and for the same time​

Answer 1

Step-by-step explanation:

★ Given :-

⠀⠀⠀⠀⠀⠀⠀

• Principal = ₹ 100
• Rate = 5 % p.a
• Time = 2 years

⠀⠀⠀⠀⠀⠀⠀

★ To Find :-

⠀⠀⠀⠀⠀⠀⠀

• The Compound Interest [ C.l ]

⠀⠀⠀⠀⠀⠀⠀

★ Answer :-

⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀$\mapsto \bold \pink{Formula \: Required :- } \\ \\ \bold{C.I = P \Bigg[ \bigg(1 + \frac{R}{100} \bigg) {}^{2} - 1 \Bigg ] }$

⠀⠀⠀⠀⠀⠀⠀

★ Solution :-

⠀⠀⠀⠀⠀⠀⠀

• Here, we will substitute the given values in the above formula :-

⠀⠀⠀⠀⠀⠀⠀

⠀⠀$\mapsto\bold{C.I = 100 \Bigg[ \bigg(1 + \frac{\cancel5}{\cancel{100}} \bigg) {}^{2} - 1 \Bigg]} \\ \\ \bold{ = 100 \big[( \: 1 + 20) {}^{2} - 1\big]} \\ \\ \bold{ = 100 \big[(21) {}^{2} - 1\big] } \\ \\ \bold{ = 100 \times(441 - 1) } \\ \\ \bold{ = 100 \times 440} \\ \\ \large \fbox \red{ = \: ₹ \: 44000 }$

________________________________

★ Hence,

⠀⠀⠀⠀⠀⠀⠀

• The Compound Interest = ₹ 44,000

________________________________

$\large\colorbox{pink}{Hope lt'z Help You ❥ }$