SSC CGL Sample Paper 5 Question 157

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Question: A trader marks his goods at 20% above the cost price. If he allows a discount of 5% on the marked price, what profit per cent does he make?...

Question: A trader marks his goods at 20% above the cost price. If he allows a discount of 5% on the marked price, what profit per cent does he make?

Options:

A) 14%

B) 16%

C) 18%

D) 20%

Show Answer

Answer:

Correct Answer: A

Solution:

  • Let the cost price $ =Rs.,x $
    $ \therefore $ Marked price $ =x+20%\text{ of},x $ $ =x+\frac{x}{5}=Rs.\frac{6x}{5} $ Selling Price $ =Rs.( \frac{6x}{5}-5%of\frac{6x}{5} ) $ $ =Rs.\frac{6x}{5}( 1-\frac{1}{20} ) $ $ =Rs.\frac{6x}{5}\times \frac{19}{20} $ $ =Rs.\frac{57x}{50} $ Profit $ =Rs.\frac{57x}{50}-x=Rs.\frac{7x}{50} $
    $ \therefore $ Profit per cent $ =\frac{50}{x}\times 100=14% $

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