Reshma buys two articles A and B for Rs. 1,734. She sells A at a loss of 16% and sells B at a gain of 20%. The selling price of both the articles is the same. If A is sold for Rs. 1147.50, then the gain percent on A is:

Solution (By Examveda Team)

\[\begin{array}{*{20}{c}} {}&{{\text{Cost price}}}&{}&{{\text{Selling price}}} \\ {{\text{Article A}} \to }&{{{25}_{ \times 6}}}&:&{{{21}_{ \times 6}}} \\ {{\text{Article B}} \to }&{{5_{ \times 21}}}&:&{{6_{ \times 21}}} \end{array}\]
$$\eqalign{ & {\text{A}} + {\text{B}} = 255{\text{ units}} \to {\text{1734}} \cr & {\text{17 units}} \to 102 \cr & {\text{Cost price of Article A}} \to {\text{150}} \to {\text{1020}} \cr & 1147.50 - 1020 = 127.50 \cr & {\text{Gain }}\% = \frac{{127.50}}{{1020}} \times 100 = 12.5 \cr} $$