Question:

A merchant made a profit of ₹ 275 on the sale price of a sweater that cost the merchant ₹ 1225.
A. The profit expressed as a percentage of the sale cost to the merchant
B. The profit expressed as a percentage of the sale price.
In this question two quantities A and B are given. Compare the two quantities

Updated On: Sep 23, 2024
  • if quantity A is greater than quantity B
  • if quantity B is greater than quantity A
  • if quantities A and B are equal
  • if comparison cannot be made
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The Correct Option is A

Solution and Explanation

A merchant made a profit of \(₹\)275 on the sale price of a sweater that cost the merchant \(₹\)1225.
A. The profit expressed as a percentage of the sale cost to the merchant
B. The profit expressed as a percentage of the sale price
C.P = 1225
Profit = 275
Selling price = cost + profit
S.P = 1225 + 275
S.P. = 1500
A. The profit expressed as a percentage of the sale cost to the merchant:

\(\frac{275}{1225}=22.44\%\)

B. The profit expressed as a percentage of the sale price:

\(\frac{275}{1500}=18.33\%\)

So, quantity A is greater than quantity B.So the correct option is (A)

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