CAT Exam  >  CAT Questions  >  DIRECTIONSfor the question:Solve the followin... Start Learning for Free
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.
View all questions of this test
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%.
Free Test
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
Attention CAT Students!
To make sure you are not studying endlessly, EduRev has designed CAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CAT.
Explore Courses for CAT exam

Similar CAT Doubts

Top Courses for CAT

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?
Question Description
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?.
Solutions 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? in English & in Hindi are available as part of our courses for CAT. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of 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? defined & explained in the simplest way possible. Besides giving the explanation of 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?, a detailed solution 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? has been provided alongside types of 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? theory, EduRev gives you an ample number of questions to practice 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? tests, examples and also practice CAT tests.
Explore Courses for CAT exam

Top Courses for CAT

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev