After allowing a discount of 10% on its marked price, the value of a mobile phone is Rs. 20,250. If no discount is allowed, then the shopkeeper gains 20%. The cost price of the mobile phone is:

Question

Question

This question was previously asked in

SSC GD Constable (2022) Official Paper (Held On : 24 Jan 2023 Shift 1)

Answer 1

Given Data:

Selling price after 10% discount = Rs. 20,250

Gain percent = 20%

Concept:

Cost Price = Marked Price / (1 + Gain Percent/100)

Calculation

Marked Price = Selling Price / (1 - Discount Percent/100)

⇒ Marked Price = 20250 / (1 - 10/100)

⇒ Marked Price = Rs. 22,500

Cost Price = Marked Price / (1 + Gain Percent/100)

⇒ Cost Price = 22500 / (1 + 20/100)

⇒ Cost Price = Rs. 18,750

Hence, the cost price of the mobile phone is Rs. 18,750.