NCHMCT JEE 2014 Question Paper with solutions for online practice

Let the cost price of the goods is x, selling price to get a gain of 19%
= $\frac{\mathit{x}\times 119}{100}$ = $\frac{119\mathit{x}}{100}$
Again, let marked price is w
so, from question,
w × $\left(1-\frac{15}{100}\right)$ = $\frac{119\mathit{x}}{100}$
w = $\frac{7}{5}$ x
Percentage increase in price,
$\left(\frac{\mathit{w}-\mathit{x}}{\mathit{x}}\right)$ × 100 = $\left(\frac{\frac{7}{5}\mathit{x}-\mathit{x}}{\mathit{x}}\right)$ × 100
= 40 %