Quantitative Aptitude Ques 473

Question: If on a marked price, the difference of selling prices with a discount of 30% and two successive discounts of 20% and 10% is Rs. 72. Then, the marked price is

Options:

A) Rs. 3600

B) Rs. 3000

C) Rs. 2500

D) Rs. 2400

Show Answer

Answer:

Correct Answer: A

Solution:

  • Let the marked price be Rs. x. Selling price after 30% discount $ =x-( \frac{30}{100} )x=\frac{7x}{10} $ Selling price after two successive discounts $ =( x-\frac{20x}{100} )-\frac{10}{100}( x-\frac{20x}{100} ) $ $ =\frac{4x}{5}-\frac{10}{100}( \frac{4x}{5} ) $ $ =\frac{40x-4x}{50}=\frac{36x}{50} $ According to the question, $ \frac{36x}{50}-\frac{7x}{10}=72 $

$ \Rightarrow $ $ \frac{36x-35x}{50}=72 $

$ \therefore $ $ x=72\times 50=Rs.,3600 $