RRB ALP CBT I 17 Feb 2026 Shift 2 Paper

Concept:Two successive discounts are applied one after another on the marked price, so the final selling price is a percentage of the marked price. When no discount is given, the selling price equals the marked price, and the profit percentage links it to the cost price.Explanation:Let the marked price be $x$.After applying discounts of 70% and 75%, the selling price becomes:$430.5 = x \times (1 - 0.70) \times (1 - 0.75)$$430.5 = x \times 0.30 \times 0.25$$430.5 = 0.075x$$x = \frac{430.5}{0.075} = 5740$So, the marked price is ₹5740.If no discount is given, the selling price equals the marked price, which is ₹5740.This selling price gives a profit of 40% over the cost price.Therefore, cost price is:$\text{CP} = \frac{5740}{1 + \frac{40}{100}} = \frac{5740}{1.4} = 4100$Answer:The cost price of the item is ₹4100, which matches option B.