The list price of a smart fan is Rs. 5,600 and it is available to a retailer at 25% discount. For how much should a retailer sell it to gain 15%?

Correct option is C

Given:

List Price (Marked Price) = Rs. 5600

Discount = 25%

Desired Profit = 15%

Formula Used:

Cost Price = $$\text{Marked Price} \times \left(1 - \frac{\text{Discount}}{100}\right)$$​​

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

Solution:

Cost Price = $$5600 \times \left(1 - \frac{25}{100}\right)$$​​

​$$= 5600 \times 0.75 = Rs. \ 4200$$​​

Selling Price = $$4200 \times \left(1 + \frac{15}{100}\right)$$​​

​$$= 4200 \times 1.15 = Rs. \ 4830$$​​

Thus, The retailer should sell it for Rs.4830