A cellphone was marked at 40% above the cost price and a discount of 3

1.	A cellphone was marked at 40% above the cost price and a discount of 30% was given on its marked price. Find the gain or loss per cent made by the shopkeeper.
Answer» Let us consider the CP of goods as x Market price of the goods when goods marked above the 40% CP is Market price = x + (40x/100) = 140x/100 = 1.4x So the Discount = 30% Discount amount = 30% of 1.40x = 0.42x ∴ The SP = Market price – Discount = 1.4x – 0.42x= 0.98x Since, SP is less than CP it’s a loss We know that, Loss = CP – SP = x – 0.98x = 0.02x ∴ Loss % = (Loss × 100)/ CP = (0.02x × 100)/ x = 2%

A cellphone was marked at 40% above the cost price and a discount of 30% was given on its marked price. Find the gain or loss per cent made by the shopkeeper.

Answer»

Let us consider the CP of goods as x

Market price of the goods when goods marked above the 40% CP is

Market price = x + (40x/100) = 140x/100 = 1.4x

So the Discount = 30%

Discount amount = 30% of 1.40x = 0.42x

∴ The SP = Market price – Discount

= 1.4x – 0.42x= 0.98x

Since, SP is less than CP it’s a loss

We know that, Loss = CP – SP

= x – 0.98x = 0.02x

∴ Loss % = (Loss × 100)/ CP

= (0.02x × 100)/ x

= 2%