A person sells an article at 16% below its cost price. Had he sold it for Rs. 33 more, he would have gained 14%. To gain 25% he should sell the article for:

Solution (By Examveda Team)

$$\eqalign{ & {\text{Let cost price}} = x \cr & x \times \frac{{114}}{{100}} - \frac{{x \times 84}}{{100}} = 33 \cr & x \times 30 = 33 \times 100 \cr & x = 110 \cr & {\text{To gain }}25\% , \cr & {\text{Selling price}} = \frac{{110 \times 125}}{{100}} = 137.50 \cr} $$