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Q: A cloth merchant makes an advertisement that he will take only 1.5% profit during the Diwali sale. After the sale he actually made a profit of 12% by using a faulty meter rod. What was the length of the meter rod used by the merchant?
A. 0.92025 m B. 0.9525 m
C. 0.90625 m D. 0.98075 m

Answer and Explanation

Answer:0.90625 m

Explanation:
Let g: - be the gain or loss in total transaction
x: - gain or loss on cost price
(100 + g) / (100 + x) = True measure / Faulty measure
In the above problem, g = 12%
x = 1.5%
Therefore, (100 + 12) / (100 + 1.5) = 1/ y
112 / 101.5 = 1/ y; y = 101.5 / 112
y = 0.90625 m

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