RRB ALP CBT I 17 Feb 2026 Shift 2 Paper

Concept:The overall profit percentage is the weighted average of the profit and loss percentages of the different portions of goods.Explanation:Let the total cost price (CP) be ₹100.First portion: 50% of goods are sold at 40% profit.Profit contribution = $40\% \times 50 = 20$.After this sale, remaining goods = $100 - 50 = 50$.Second portion: 30% of the remaining goods are sold at 46% profit.This portion = $30\% \times 50 = 15$ units.Profit contribution = $46\% \times 15 = 6.9$.Third portion: still remaining goods = $100 - (50 + 15) = 35$ units.These are sold at a loss of 24%, so loss contribution = $-24\% \times 35 = -8.4$.Net overall profit = $20 + 6.9 - 8.4 = 18.5$.Since the total CP is ₹100, the overall profit percentage is $x = 18.5\%$.Equivalently, $x = \frac{50 \times 40 + 15 \times 46 + 35 \times (-24)}{100} = \frac{2000 + 690 - 840}{100} = 18.5$.Answer:$x = 18.5\%$, so the correct option is A (18.5).