On an item, a shopkeeper offers a discount of 7. 5% on the marked price and a cashback of ₹10 per item. He still earns ₹5 per item. If ₹x is the marked price of each item, then, what is the cost price (in ₹) of each item?

Correct option is C

Given:
Discount = 7.5% on the marked price (x)
Cashback = Rs. 10
Profit = Rs. 5
Formula Used:
Net selling price = Marked price - Discount - Cashback
Solution:
Selling Price (SP) = Marked price - Discount - Cashback
=> SP = x - 0.075x - Rs10
=> SP = 0.925x - Rs10
Cost Price (CP) = Selling Price - Profit
=> CP = SP - Rs 5
=> CP = 0.925x - Rs10 - Rs 5
=> CP = 0.925x - Rs 15
∴ The cost price of each item is (0.925x - Rs15).