Question

A retailer marked the price wa shirt at 16% more than the cost price he then gave a discount of 12 % on the marked price find his loss gain %

Answer 1

Answer:

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Answer 2

Let : Cost price of shirt = x

Given :

• Marked price = CP + 16% of CP
• Discount = 12% on Marked price

To find : Loss or Gain %

Formula used :

• Profit = SP - CP
• Profit% = Profit × 100/ CP
• Loss = CP - SP
• Loss% = Loss× 100/CP

Solution :

Firstly we have to find marked price =>

Marked price = x + 16% of x

Marked price = x + (16x/100)

Marked price = 116x/100 = 1.16x

Discount given is 12% of marked price

Discount = 12% of (116/100)

$\sf \: Discount = \dfrac{12}{100} \times \dfrac{116x}{100} \\ \\ \sf \: Discount = 0.1392x$

SP = Marked price - discount

SP = 1.16x - 0.1392x = 1.0208x

As SP > CP , therefore he made profit

Profit = 1.0208x - 1x

Profit = 0.0208x

therefore Profit % = Profit × 100 / CP

$\sf \: Profit \: \% = \dfrac{0.0208 \: \times \: 100}{x} \\ \\ \sf \: Profit \: \% = 2.08 \: \%$

ANSWER : Profit % = 2.08%