Correct Answer - Option 2 : Rs. 10,640
Given∶
Money to be invested = Rs. 13500
Rate of interest in scheme A and B are 15% and 10% per annum.
Total interest earned = Rs. 2986.
Formula Used∶
S.I = PRT/100
Calculation∶
Let the investment in scheme A be Rs.x.
And the investment in scheme B Rs.(13500 - x)
We know that, S.I = PRT/100
Simple interest for Rs x in 2 years at 15% per annum = (x ×15 × 2)/100 = 30x/100
Simple interest for Rs.(13500 - x) in two years at 10% per annum = [(13500 - x) × 10 × 2]/100
⇒ 20 (13500 - x)/100
Now,
Total interest = 2986
⇒ 30x/100 + 20(13500 - x)/100 = 2986
⇒ 30x + 270000 - 20x = 298600
⇒ 10x = 28600
⇒ x = 28600
So, investment in scheme B = 13500 - 2860 = Rs.10,640
∴ Rs.10,640 is invested in scheme B .