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A shopkeeper purchased 59 dozens of articles at the rate of ₹520 per dozen. He sold each one of them at the rate of ₹52. What percentage profit did he
Question

A shopkeeper purchased 59 dozens of articles at the rate of ₹520 per dozen. He sold each one of them at the rate of ₹52. What percentage profit did he make?

A.

19%

B.

23%

C.

21%

D.

20%

Correct option is D

Given
Cost Price of 59 dozens = ₹520 per dozen
Selling Price of 1 article = ₹52
Formula Used
Profit = Selling Price - Cost Price
Profit Percentage = ProfitCostPrice×\frac{Profit}{Cost Price} \times​ 100
Solution
Cost Price of 1 dozen (12 articles) = ₹520
Cost Price of 1 article = 52012=1303 \frac{520}{12} = \frac{130}{3}​​
Selling Price of 1 article = 52
Profit on 1 article = 521303=1561303=263 52 - \frac{130}{3} = \frac{156 - 130}{3} = \frac{26}{3}​​
Profit Percentage =26/3130/3×100 \frac{26/3}{130/3} \times 100​​
Profit Percentage = 26130×100=15×100=20% \frac{26}{130} \times 100 = \frac{1}{5} \times 100 = 20\%​​
Final Answer
So the correct answer is (d) 
Exam Hall Method

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