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IPMAT Rohtak 2020 PYQsQuantitative Ability. Free, no login required.

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?

Solution

✅ Correct Option: 1

Let's say amount in Scheme A = xx

Then amount in Scheme B = 13900−x13900 - x

Total interest = Interest from A + Interest from B

3508=14×x×2100+11×(13900−x)×21003508 = \frac{14 × x × 2}{100} + \frac{11 × (13900-x) × 2}{100}

3508=28x100+22(13900−x)1003508 = \frac{28x}{100} + \frac{22(13900-x)}{100}

3508=0.28x+3058−0.22x3508 = 0.28x + 3058 - 0.22x

3508=0.06x+30583508 = 0.06x + 3058

450=0.06x450 = 0.06x

x=7500x = 7500 (Amount in Scheme A)

Therefore, Amount in Scheme B = 13900−7500=640013900 - 7500 = 6400

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