A sum when invested at the rate of 12% simple interest per annum, amounts to ₹8,500 after 3 years. The simple interest (in ₹) for the given time period is:​

Correct option is C

Given:

Rate R = 12% per annum

Time T = 3 years

Amount A = ₹8,500

We are to find the Simple Interest (SI)

Formula Used:

Amount = Principal + SI

SI = $$\frac{P \times R \times T}{100}$$​​

Solution:

Let the principal be P, Then:

8500 = P + $$\frac{P \times 12 \times 3}{100}$$​​

8500 = $$P \left(1 + \frac{36}{100} \right)$$​​

8500 = $$P \times \frac{136}{100}$$​​

P = $$\frac{8500 \times 100}{136}$$​= ₹6250

Now,

SI = ₹8500 - ₹6250 = ₹250