A television set has a marked price of ₹20,000. It is sold after two successive discounts. If the first discount is 15% and the final selling price is ₹15,300, what is the percentage of the second discount?

Correct option is A

Given :

Marked Price (MP) = ₹20,000
First discount = 15%
Final Selling Price (SP) = ₹15,300
Second discount = ?

Formula Used :​​

​$$\text{Second Discount \%} = \frac{\text{Price}_1 - \text{SP}}{\text{Price}_1} \times 100$$​​
Solution :

Price after first discount
​$$\text{Price}_1 = \text{MP} \times \left(1 - \frac{15}{100}\right)$$​

​$$\text{Price}_1 = 20000 \times \frac{85}{100} = 17000$$​​

Reduction due to second discount:
17000 - 15300 = 1700

Second discount percentage:
​$$\frac{1700}{17000} \times 1$$​00 = 10%