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Arun invested a total of Rs. 1500 in two different schemes offering simple interest of 6% and 4% respectively. In two years time, the scheme offering higher interest rate gives Rs. 100 more interest than the scheme offering the lower rate. What was the ratio of amount invested at higher interest rate to the other amount?

Arun invested a total of Rs. 1500 in two different schemes offering simple interest of 6% and 4% respectively. In two years time, the scheme offering higher interest rate gives Rs. 100 more interest than the scheme offering the lower rate. What was the ratio of amount invested at higher interest rate to the other amount? Correct Answer 11 : 4

Let the sum invested by Arun in the Scheme offering higher interest rate be Rs. a

⇒ Sum invested by Arun in another scheme = Rs. (1500 - a)

⇒ Simple interest (on higher interest rate) = (a × 6 × 2)/100 = 3a/25

⇒ Simple interest (on lower interest rate) = {(1500 - a) × 4 × 2}/100 = (3000 - 2a)/25

ATQ,

⇒ (3a/25) - {(3000 - 2a)/25} = 100

⇒ 3a - 3000 + 2a = 2500

⇒ 5a = 5500

⇒ a = 1100

⇒ Another amount = 1500 - 1100 = Rs. 400

∴ Required Ratio = 11 ∶ 4

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