Anand deposited Rs 6000 on simple interest. He with- draw Rs 4000 and

1.	Anand deposited Rs 6000 on simple interest. He with- draw Rs 4000 and its interest from that amount after 2 years. After next 3 years, he withdraw the rest of the amount and its interest accrued till that time. In all he obtained Rs 900 as interest. The rate of interest per annum was (a) 3% (b) 4% (c) 5% (d) 6%
Answer» (c) 5%. Let the rate of interest p.a. be x % Then, interest on Rs 6000 after 2 years = \(\frac{2\times6000\times{x}}{100}\) = 120x = I₁ After withdrawing Rs 4000, Rs 2000 remained in the account. ∴ Interest on Rs 2000 for 3 years = \(\frac{3\times2000\times{x}}{100}\) = 60x = I_{2 .} Given, I₁ + I₂ = 900 ⇒ 120x + 60x = 900 ⇒ 180x = 900 ⇒ x = 5%.

Anand deposited Rs 6000 on simple interest. He with- draw Rs 4000 and its interest from that amount after 2 years. After next 3 years, he withdraw the rest of the amount and its interest accrued till that time. In all he obtained Rs 900 as interest. The rate of interest per annum was (a) 3% (b) 4% (c) 5% (d) 6%

Answer»

(c) 5%.

Let the rate of interest p.a. be x %

Then, interest on Rs 6000 after 2 years

= \(\frac{2\times6000\times{x}}{100}\) = 120x = I₁

After withdrawing Rs 4000, Rs 2000 remained in the account.

∴ Interest on Rs 2000 for 3 years = \(\frac{3\times2000\times{x}}{100}\) = 60x = I_{2 .}

Given, I₁ + I₂ = 900

⇒ 120x + 60x = 900 ⇒ 180x = 900 ⇒ x = 5%.