SATHEE: Quantitative Aptitude Ques 578

Quantitative Aptitude Ques 578

Question: A single discount equivalent to the discount series 20%, 10% and 15% is

Options:

A) 36.1%

B) 38.8%

C) 31.6%

D) 38.2%

Show Answer

Answer:

Correct Answer: B

Solution:

Let the marked price be x. Then, amount after discount series $ =[ ( x-\frac{20}{100}x )-\frac{10}{100}\times ( x-\frac{20x}{100} ) ] $ $ -\frac{15}{100}[ ( x-\frac{20x}{100} )-\frac{1}{10}( x-\frac{20x}{100} ) ] $ $ =[ ( x-\frac{x}{5} )-\frac{1}{10}( x-\frac{x}{5} ) ]-\frac{15}{100}[ \frac{4x}{5}-\frac{1}{10}( \frac{4x}{5} ) ] $ $ =[ \frac{4x}{5}-\frac{1}{10}( \frac{4x}{5} ) ]-\frac{15}{100}[ \frac{40x-4x}{50} ] $ $ =\frac{(40-4)x}{50}-\frac{15}{100}( \frac{36x}{50} ) $ $ =\frac{36x}{50}-\frac{15\times 36x}{100\times 50}=\frac{612x}{1000} $ Discount $ =x-\frac{612}{1000}=\frac{388}{1000}\times 100=38.8 $ %

Quantitative Aptitude Ques 577

Quantitative Aptitude Ques 579

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