A cloth merchant professes to sell at a loss of 9%. However, the merch

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?

A. 70
B. 72
C. 75
D. 76
E. 77

A. 70
B. 72
C. 75
D. 76
E. 77

Bunuel · Accepted Answer

Official Solution: 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, in centimeters, that he uses when measuring 1 meter of cloth? (1 meter = 100 centimeters) A. 70 B. 72 C. 75 D. 76 E. 77 Let's assume that the cost of 1 centimeter of cloth is $1. Therefore, for a meter (100 centimeters), the base cost would be $100. However, the merchant claims to sell 1 meter of cloth at a 5% loss, which means he is selling it for $95 (95% of the original cost). In reality, this $95 still incorporates a 25% gain for the merchant, which means 1.25 * ($1 * ext{actual length in meters}) = $95 . This yields ext{actual length in meters} = 0.76 . So, the actual length of cloth the merchant claims to be 1 meter is, in fact, only 0.76 meters. Answer: D Similar questions to practice: https://gmatclub.com/forum/a-shop-owner ... 27746.html https://gmatclub.com/forum/katrina-has- ... 35499.html https://gmatclub.com/forum/a-man-cheats ... 35183.html https://gmatclub.com/forum/a-trader-che ... 17512.html https://gmatclub.com/forum/a-dishonest- ... 60822.html https://gmatclub.com/forum/a-merchant-c ... 67197.html Hope this helps.

av1901 · Answer

Let the original purchase price be  100 
Merchant professes to sell at  5%  loss so  SP = 95

But he still gets  25%  profit so the selling price of  95  is actually equal to  25% (1.25)  profit

95 = 1.25W => W = 95/1.25 = 76

Answer - D

siddhantvarma · Answer

First, let's understand what's happening:

The merchant claims to sell at a 5% loss
But actually, they're gaining 25% due to a false meter scale

Let's say the actual cost price of 1 meter of cloth is x.
The merchant claims to sell at a 5% loss, so the selling price would be: 0.95x
However, they're actually gaining 25%, so the real selling price is: 1.25x
This means that the amount of cloth the merchant is actually selling for 1.25x is what they claim is 0.95 meters.
We can set up an equation:
0.95 / actual length = 1.25 / 1
Cross multiply:
0.95 = 1.25 * actual length

Solve for actual length:
Actual length = 0.95 / 1.25 = 0.76
This means the merchant is actually selling 0.76 meters when they claim to sell 1 meter.

To find the scale in centimeters:
0.76 * 100 = 76 cm

Therefore, the merchant's false meter scale measures 76 cm for what should be 1 meter (100 cm).
  The correct answer is D. 76 cm.

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A cloth merchant professes to sell at a loss of 9%. However, the merch

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