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A retailer buys 12 pairs of shoes for ₹22,400. His overhead expenses are ₹1,600. If he earns ₹28,500 from the sale of these 12 pair of shoes, determine his profit percentage.

A20%

B17.5%

C19.25%

D18.75%

Answer:

D. 18.75%

Read Explanation:

First, calculate the total cost price (CP):

  • Cost of 12 pairs of shoes = ₹22,400

  • Overhead expenses = ₹1,600

Total CP=22400+1600\text{Total CP} = 22400 + 1600 = ₹24,000

Now, the selling price (SP) is given:

SP\text{SP} = ₹28,500

Profit

Profit=SPCP=2850024000\text{Profit} = SP - CP = 28500 - 24000 = ₹4,500

Profit Percentage

Use the formula:

Profit %=ProfitCost Price×100\text{Profit \%} = \frac{\text{Profit}}{\text{Cost Price}} \times 100

Profit %=450024000×100=18.75%\text{Profit \%} = \frac{4500}{24000} \times 100 = 18.75\%

Final Answer:

Profit percentage = 18.75%


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