Question

A shopkeeper gave an additional $20\%$ concession on the reduced price after giving $30\%$ standard concession on an article. If arun bought that article for Rs. $1,120$. What was the original price?

• A. $2,500$
• B. $2,200$
• C. $1,800$
• D. $2,000$

Answer 1

The correct option is D $2,000$

Let original price $=x$

standard concession$=30\%$

$\therefore$ reduced price$=x(1-\frac{30}{100})$

$=\frac{7x}{10}$

Additional cocession $=20\%$on reduced price.

$\therefore$ final price $=\frac{7x}{10}(1-\frac{20}{100})$

$=\frac{14x}{25}$

$ATP,$

$\frac{14x}{25}=1120$

$=>x=\frac{1120\times 25}{14}$

$=>x=2000$

$\therefore$ original price was $Rs.2000$