Question : The cost price of pulses is 12% less than the selling price. Using a faulty weighing machine, a shopkeeper is able to earn 25% profit. How much per cent of the faulty machine shows more weight as compared to the actual weight (Rounded off to the nearest integer)?
Option 1: 13%
Option 2: 15%
Option 3: 10%
Option 4: 14%
Correct Answer: 10%
Solution :
Let the initial selling price of the pulse be 100.
The cost price is 12% less than selling price = 88
To earn a profit of 25%, the final selling price
= $\frac{125}{100}\times$ Cost price
= $\frac{125}{100}\times88$
= $110$
Difference in selling price = 110 – 100 = 10
Required percentage = $\frac{\text{Difference}}{\text{Initial selling price}}\times100=\frac{10}{100}\times100=10\%$
Hence, the correct answer is 10%.
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