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A man sold an article for Rs. 35,400 and made a profit of 18% in the process. What would have been his profit or loss percentage, had he sold it for R
Question

A man sold an article for Rs. 35,400 and made a profit of 18% in the process. What would have been his profit or loss percentage, had he sold it for Rs. 33,000?

A.

Gain 15%

B.

Loss 10%

C.

Loss 15%

D.

Gain 10%

Correct option is D

Given:
Selling price of the article = Rs. 35,400
Profit percentage = 18%
Formula Used:
Profit = Selling Price - Cost Price
Profit Percentage = (Profit / Cost Price) * 100
Solution:
Cost Price = =35,4001+18100=35,4001.18=30,000 = \frac{35,400}{1 + \frac{18}{100}} = \frac{35,400}{1.18} = 30,000
So, the cost price of the article is Rs. 30,000.
New Profit = Selling Price - Cost Price = 33,000 - 30,000 = 3,000
Profit Percentage = =(3,00030,000)×100=10%= \left(\frac{3,000}{30,000}\right) \times 100 = 10\%​​
The profit percentage would have been 10% if the article had been sold for Rs. 33,000.

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