Concept:Equal selling prices are used to equate the profit and loss expressions, then discount is found from the marked price and selling price.
Explanation:Let the cost prices of Article A and Article B be
5x and
3x respectively.
Article A is sold at a loss of ₹
125, so its selling price is
SPA=5x−125.
Article B is sold at a profit of ₹
75, so its selling price is
SPB=3x+75.
Since the selling prices are equal, equate them:
5x−125=3x+75.
Solving gives
2x=200, so
x=100.
Thus, the cost price of Article A is
5×100=500.
The selling price of Article A is
500−125=375.
Article A is marked 40% above its cost price, so the marked price is
MP=500×1.4=700.
Discount allowed on Article A is
MP−SP=700−375=325.
Answer:The discount allowed on Article A is ₹
325.
Therefore, the correct option is C.