Question: A cloth merchant professes to sell at a loss of 5%. However, the merchant falsifies the meter scale and gains 25%. What is the measure of the scale that he uses when measuring 1 meter of cloth?

1. 70
2. 72
3. 75
4. 76
5. 77

Correct Answer: D
Solution and Explanation:

Approach Solution 1:
There is only one approach to this problem.

The problem statement states that:
Given:

• A cloth merchant professes to sell at a loss of 5%.
• The merchant falsifies the meter scale and gains 25%.

Find out:

• The measure of the scale that he uses when measuring 1 meter of cloth.

Let the original purchase price of the cloth be 100
Let the measurement scale that he uses when measuring 1 meter of cloth is W.
Merchant professes to sell at a loss of 5
Therefore the selling price of the cloth will be = 100-5 = 95

However, the merchant still gets a profit of 25.
Therefore, the selling price of 95 is actually equal to 25 profit
Therefore, as per the conditions of the question, we can say:
95 = 1.25 W
=> W= 95/1.25
=> W =76

Therefore, the measure of the scale that he uses when measuring 1 meter of cloth =76.

“A cloth merchant professes to sell at a loss of 5%. However, the merchant”- is a topic of the GMAT Quantitative reasoning section of the GMAT exam. The candidate must have concrete knowledge of mathematics in order to solve quantitative problems. The candidates need to gain more knowledge regarding arithmetic, algebra and geometry problems to score better in the GMAT exam. The candidate needs to analyse the data and calculate the GMAT Problem Solving questions accurately. The candidates should practice several sorts of questions from the GMAT Quant practice papers that enable them to improve their mathematical learning.

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