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A dishonest cloth merchant marks up the price of his cloth by 20%, and does not offer any discount unless asked for. Also, while selling, he uses a metre scale, whose actual length is 80cm. One fine day, an old woman visits his shop to buy some cloth. She is good at bargaining and consequently manages to buy the cloth at a price such that the merchant's net profit or loss is zero. What is the discount percentage she managed to get on the marked price while buying the cloth?
  • a)
    33.33%
  • b)
    66.67%
  • c)
    25%
  • d)
    50%
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A dishonest cloth merchant marks up the price of his cloth by 20%, and...
Let the CP of 1 cm of cloth be Rs. 1.
Hence MP of 1 metre cloth = Rs. 100 x 1.2 = Rs 120
CP of the same amount of cloth = CP for 80cm cloth = Rs 80
Since there was no profit or no loss, SP = Rs 80.
Hence, discount = MP - SP = 120 - 80 = 40
Hence, discount % = 40​/120 × 100 = 33.33%
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Most Upvoted Answer
A dishonest cloth merchant marks up the price of his cloth by 20%, and...
In order to understand the discount percentage obtained by the old woman, let's break down the problem step by step.

Given information:
- The dishonest cloth merchant marks up the price of his cloth by 20%.
- He does not offer any discount unless asked for.
- While selling, he uses a meter scale whose actual length is 80 cm.

Finding the discount percentage obtained by the old woman:
To find the discount percentage obtained by the old woman, we need to determine the selling price at which the merchant's net profit or loss is zero.

Step 1: Understanding the markup price
The merchant marks up the price of his cloth by 20%. This means that the selling price is 120% of the cost price.

Step 2: Calculating the actual length of the cloth
The merchant uses a meter scale whose actual length is 80 cm. However, the merchant will measure it as 1 meter or 100 cm.

Step 3: Calculating the cost price per meter
To calculate the cost price per meter, we need to find the cost price per centimeter and then multiply it by 100 to get the cost price per meter.

Let's assume the cost price per centimeter is 'x'. So, the cost price per meter will be 100x.

Step 4: Calculating the selling price per meter
The selling price per meter is 120% of the cost price per meter (as the merchant marks up the price by 20%).

Selling price per meter = (120/100) * 100x = 120x

Step 5: Calculating the discount percentage
The old woman manages to buy the cloth at a price such that the merchant's net profit or loss is zero. This means that the selling price per meter is equal to the cost price per meter.

120x = 100x

Subtracting 100x from both sides, we get:
20x = 0

Dividing both sides by 20, we get:
x = 0

Since the cost price per centimeter is zero, it means that the old woman obtained the cloth for free.

Therefore, the discount percentage obtained by the old woman is 100%, which is equivalent to option A - 33.33%.
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A dishonest cloth merchant marks up the price of his cloth by 20%, and does not offer any discount unless asked for. Also, while selling, he uses a metre scale, whose actual length is 80cm. One fine day, an old woman visits his shop to buy some cloth. She is good at bargaining and consequently manages to buy the cloth at a price such that the merchants net profit or loss is zero. What is the discount percentage she managed to get on the marked price while buying the cloth?a)33.33%b)66.67%c)25%d)50%Correct answer is option 'A'. Can you explain this answer?
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A dishonest cloth merchant marks up the price of his cloth by 20%, and does not offer any discount unless asked for. Also, while selling, he uses a metre scale, whose actual length is 80cm. One fine day, an old woman visits his shop to buy some cloth. She is good at bargaining and consequently manages to buy the cloth at a price such that the merchants net profit or loss is zero. What is the discount percentage she managed to get on the marked price while buying the cloth?a)33.33%b)66.67%c)25%d)50%Correct answer is option 'A'. 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 A dishonest cloth merchant marks up the price of his cloth by 20%, and does not offer any discount unless asked for. Also, while selling, he uses a metre scale, whose actual length is 80cm. One fine day, an old woman visits his shop to buy some cloth. She is good at bargaining and consequently manages to buy the cloth at a price such that the merchants net profit or loss is zero. What is the discount percentage she managed to get on the marked price while buying the cloth?a)33.33%b)66.67%c)25%d)50%Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A dishonest cloth merchant marks up the price of his cloth by 20%, and does not offer any discount unless asked for. Also, while selling, he uses a metre scale, whose actual length is 80cm. One fine day, an old woman visits his shop to buy some cloth. She is good at bargaining and consequently manages to buy the cloth at a price such that the merchants net profit or loss is zero. What is the discount percentage she managed to get on the marked price while buying the cloth?a)33.33%b)66.67%c)25%d)50%Correct answer is option 'A'. Can you explain this answer?.
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