The interest on a certain sum of money is ₹22 and the true discount on the same sum for the same time and at the same rate is ₹20. Find the sum.

Correct option is A

We are tasked to calculate the principal sum when the interest and true discount are given.

Step-by-Step Solution:

1. Given:

- Interest ( I ) = ₹22

- True Discount ( TD ) = ₹20

2. Key Formulae:

Relationship between Principal ( P ), Interest ( I ), and True Discount ( TD ):

P = $$\frac{I \times TD}{I - TD}$$​

3. Substitute the values:

P = $$\frac{22 \times 20}{22 - 20}$$​

P = $$\frac{440}{2}$$​

P = 220

Final Answer:

​$$\boxed{₹220}$$​