| 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, |
| \[\frac{36x}{50}-\frac{7x}{10}=72\] |
| \[\Rightarrow \] \[\frac{36x-35x}{50}=72\] |
| \[\therefore \] \[x=72\times 50=Rs.\,3600\] |
You need to login to perform this action.
You will be redirected in
3 sec
