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DIRECTIONS for the question: Solve the following question and mark the best possible option.
In a sale, a shopkeeper reduced the advertised selling price of a dress by 20%. This resulted in a profit of 4% over the cost price of the dress. What percentage of the profit would the shopkeeper have made if the dress had been sold at the original selling price?
  • a)
    16%
  • b)
    20%
  • c)
    24%
  • d)
    30%
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
DIRECTIONSfor the question:Solve the following question and mark the b...
Let the original cost price and original selling price of the dress be C and S respectively.
Then 0.8 x S = 1.04 x C.
So  S = 1.04/0.8 x C = 1.3 x C.
Therefore the shopkeeper would have made a profit of 30% by selling the dress at its original price.
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Most Upvoted Answer
DIRECTIONSfor the question:Solve the following question and mark the b...
Shopkeeper's Profit Calculation:

Let's assume the cost price of the dress is 'C' and the advertised selling price is 'S'.

According to the given information, the shopkeeper reduced the selling price by 20%, which means the new selling price after the discount is 80% of the original selling price. Therefore, the new selling price is 0.8S.

Since the shopkeeper made a profit of 4% over the cost price, the selling price after the discount must be 104% of the cost price. Therefore, we can write the equation as:

0.8S = 1.04C

Solving this equation will give us the relationship between the cost price and the selling price.

Calculating the Selling Price:

Dividing both sides of the equation by 0.8:

S = (1.04C) / 0.8

Simplifying further:

S = 1.3C

This equation shows that the original selling price is 1.3 times the cost price.

Calculating the Profit Percentage:

To find the profit percentage, we need to calculate the difference between the original selling price and the cost price, and then express it as a percentage of the cost price.

Profit = Selling Price - Cost Price
Profit = 1.3C - C
Profit = 0.3C

Profit Percentage = (Profit / Cost Price) * 100
Profit Percentage = (0.3C / C) * 100
Profit Percentage = 30%

Conclusion:

If the dress had been sold at the original selling price, the shopkeeper would have made a profit of 30%. Therefore, the correct answer is option 'D' - 30%.
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Community Answer
DIRECTIONSfor the question:Solve the following question and mark the b...
Discount =1/5 profit =1/25
mp:sp. sp:cp
5. :. 4. *13 26:25*2
mp:sp:cp
65:52:50
(65-50)/50*10/
(15/50)*100=30% profit
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DIRECTIONSfor the question:Solve the following question and mark the best possible option.In a sale, a shopkeeper reduced the advertised selling price of a dress by 20%. This resulted in a profit of 4% over the cost price of the dress. What percentage of the profit would the shopkeeper have made if the dress had been sold at the original selling price?a)16%b)20%c)24%d)30%Correct answer is option 'D'. Can you explain this answer?
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DIRECTIONSfor the question:Solve the following question and mark the best possible option.In a sale, a shopkeeper reduced the advertised selling price of a dress by 20%. This resulted in a profit of 4% over the cost price of the dress. What percentage of the profit would the shopkeeper have made if the dress had been sold at the original selling price?a)16%b)20%c)24%d)30%Correct answer is option 'D'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about DIRECTIONSfor the question:Solve the following question and mark the best possible option.In a sale, a shopkeeper reduced the advertised selling price of a dress by 20%. This resulted in a profit of 4% over the cost price of the dress. What percentage of the profit would the shopkeeper have made if the dress had been sold at the original selling price?a)16%b)20%c)24%d)30%Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for DIRECTIONSfor the question:Solve the following question and mark the best possible option.In a sale, a shopkeeper reduced the advertised selling price of a dress by 20%. This resulted in a profit of 4% over the cost price of the dress. What percentage of the profit would the shopkeeper have made if the dress had been sold at the original selling price?a)16%b)20%c)24%d)30%Correct answer is option 'D'. Can you explain this answer?.
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