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 $