IPMAT Rohtak 2020 (QA) - Bhavani invested an amount of Rs. 13900 divided in two different schemes, A and B at the simple interest rate of 14% per annum and 11% per annum respectively if the total amount of simple interest earned in two year be Rs. 3508, what was the amount invested in Scheme B? | PYQs + Solutions

IPMAT Rohtak 2020

Arithmetic

Simple & Compound Interest

Medium

Bhavani invested an amount of Rs. 13900 divided in two different schemes, A and B at the simple interest rate of 14% per annum and 11% per annum respectively if the total amount of simple interest earned in two year be Rs. 3508, what was the amount invested in Scheme B?

6400

6500

7200

7900

Correct Option: 1

Let's say amount in Scheme A =

x

\newline

Then amount in Scheme B =

13900 - x

Total interest = Interest from A + Interest from B

3508 = \frac{14 × x × 2}{100} + \frac{11 × (13900-x) × 2}{100}

3508 = \frac{28x}{100} + \frac{22(13900-x)}{100}

3508 = 0.28x + 3058 - 0.22x

3508 = 0.06x + 3058

450 = 0.06x

x = 7500

(Amount in Scheme A)

Therefore, Amount in Scheme B =

13900 - 7500 = 6400

Watch Now

Alligation Trick