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 [SSC (CGL) 2010] |
A) Rs. 3600
B) Rs. 3000
C) Rs. 2500
D) Rs. 2400
Correct Answer: A
Solution :
Let the marked price be Rs. x. |
Selling price after 30% discount |
\[=x-\left( \frac{30}{100} \right)x=\frac{7x}{10}\] |
Selling price after two successive discounts |
\[=\left( x-\frac{20x}{100} \right)-\frac{10}{100}\left( x-\frac{20x}{100} \right)\] |
\[=\frac{4x}{5}-\frac{10}{100}\left( \frac{4x}{5} \right)\] |
\[=\frac{40x-4x}{50}=\frac{36x}{50}\] |
According to the question, |
\[\frac{36x}{50}-\frac{7x}{10}=72\] |
\[\Rightarrow \] \[\frac{36x-35x}{50}=72\] |
\[\therefore \] \[x=72\times 50=Rs.\,3600\] |
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