SATHEE: Quantitative Aptitude Ques 2271

Quantitative Aptitude Ques 2271

Question: A dishonest dealer sells his goods at 10% loss on cost price and uses 30% less weight. What is his profit or loss per cent?

Options:

A) $ 28\frac{4}{7}%\text{ loss} $

B) $ 28\frac{4}{7}%\text{ profit} $

C) $ 28\frac{3}{7}%\text{ loss} $

D) $ 28\frac{3}{7}%\text{ profit} $

Show Answer

Answer:

Correct Answer: B

Solution:

Let the cost price of goods be Rs. 100 per kg. Then, selling price = Rs. 90 Further, let total quantity of goods = 1000 g Then, actual weight = 700 g But cost price of 700 g goods = Rs. 70 Then, profit% $ =\frac{20}{70}\times 100=\frac{2}{7}\times 100 $ $ =\frac{200}{7}=28\frac{4}{7}% $ Alternate Method Here, R = 30% and r =10% Required profit % $ =\frac{R\pm r}{100-R}\times 100 $

$ \therefore $ Profit % $ =\frac{30-10}{100-30}\times 100 $ [ $ -,ve $ for loss] $ =\frac{20}{70}\times 100=28\frac{4}{7}% $

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