Question

2. Rate of interest when 200 yield interest of 400 in 2 years​

Answer 1

$\huge{\orange{\underline{\underline{\bf{\bigstar\;AnSweR:}}}}}$

Given

Simple interest in 2 years = Rs.400

⇒  Simple interest for 1 year =

$\Large{\frac{400}{2}}$ → Rs. 200

Hence, Compound interest for 1 year = Rs.200

Given

Compound interest for 2 years = Rs. 410

➝ Compound interest for 2 years = Compound interest 1st year + Compound interest 2nd year

➝ $\bf{Rs. 410 - Rs. 200}$

➝ $\bf{Rs. 210}$

Interest on Rs. 200 for 1 year =

Rs. 210 - Rs. 200 → Rs. 10

$\boxed{\sf{S.I = \frac {PTR}{100}}}$

➝ $10 = \frac {200×1×R}{100}$

➝ $10×100 = 200×R$

➝ $\frac{1000}{200} = R$

➝ 5%

☞ $\fbox\red{Rate\;of\; Interest = 5\; percent}$

Hope It Helps You ✌️