A bag marked at Rs90 is sold for Rs72. The rate of discount is:Options20%25%15%10%

1. Break Down the Problem

To find the rate of discount, we need to determine:

• The marked price of the bag.
• The selling price of the bag.
• The discount amount.
• The rate of discount percentage.

2. Relevant Concepts

The formula for the discount rate is given by:

$\text{Rate of Discount} = \left( \frac{\text{Marked Price} - \text{Selling Price}}{\text{Marked Price}} \right) \times 100$

3. Analysis and Detail

1. Marked Price (MP) = Rs 90
2. Selling Price (SP) = Rs 72
3. Discount Amount (D) can be calculated as:

$D = MP - SP = 90 - 72 = 18$

4. Now, we can substitute into the discount rate formula:

$\text{Rate of Discount} = \left( \frac{18}{90} \right) \times 100$

5. Calculate the rate of discount:

$= \left( 0.2 \right) \times 100 = 20\%$

4. Verify and Summarize

We have calculated the discount as Rs 18 and it's confirmed that the rate of discount is 20%.

Final Answer

The rate of discount is 20%.