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 .**