A manufacturer marked a product 30% above its cost price. He provided a discount to a customer, which resulted in him making a profit of 17%. What was the rate of discount given by the manufacturer?

Correct option is D

Given :

Let Cost Price = 100

Marked Price (MP) = 30% above cost price

Profit = 17%

Formula Used :

Marked Price
​$$\text{MP} = \text{CP} \times \left(1+\frac{\text{Markup}}{100}\right)$$​​

Selling Price
​$$\text{SP} = \text{CP} \times \left(1+\frac{\text{Profit}}{100}\right)$$​​

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

Let Cost Price = 100

MP = 130

Selling Price (SP) = 117

Discount = 130 - 117 = 13

​$$\text{Discount \%} = \frac{13}{130} \times 1$$​00 = 10%