A sum, when invested at 10% simple interest per annum, amounts to ₹9360 after 2 years. What is the simple interest (in ₹)on the same sum at the same rate in 2 year?

Correct option is C

Given:
Amount after 2 years = ₹9360
Rate of interest = 10% per annum
Time = 2 years
Formula Used:
Simple Interest (SI) is calculated using the formula:
​$$\text{SI} = \frac{P \times R \times T}{100}$$​​
where P is the principal, R is the rate of interest, and T  is the time in years.
The amount A is given by:
​$$A = P + \text{SI}$$​​
Solution:
Let the principal be P .
The amount after 2 years is:
$$A = P + \text{SI} = P + \frac{P \times 10 \times 2}{100} = P + \frac{20P}{100} = P + 0.2P = 1.2P$$​​
$$1.2P = 9360$$​​
$$P = \frac{9360}{1.2} = 7800$$​​

$$\text{SI} = \frac{7800 \times 10 \times 2}{100} = \frac{156000}{100} = 1560$$​
Thus, option (c) is right.