A sum of money, when invested at the rate of 15% per annum at simple interest, amounts to ₹26,000 in 2 years. What is the simple interest that accrued during these 2 years?

A sum of money, when invested at the rate of 15% per annum at simple interest, amounts to ₹26,000 in 2 years.

amount after 2 years = principal + simple interest = 26000

simple interest = (26000-principal)    Eq.(i)

We know that simple interest = $$\frac{principal\ \times\ rate\times\ time}{100}$$

$$simple\ interest=\frac{principal\ \times15\times2}{100}$$

$$simple\ interest=\frac{principal\ \times15\times2}{100}$$

Put Eq.(i) in the above equation.

$$26000-principal=\frac{principal\ \times15\times2}{100}$$

$$26000-principal=\frac{principal\ \times30}{100}$$

Put Eq.(ii) in Eq.(i).

simple interest after 2 years = (26000-20000)

= 6000