Practice Profit & Loss MCQs for AJK Police Constable (BS-5) Mathematics — topic-wise sets with solved answers.
Q1. Two varieties of wheat - A and B costing Rs. 9 per kg and Rs. 15 per kg were mixed in the ratio 3 : 7. If 5 kg of the mixture is sold at 25% profit, find the profit made?
Answer: Rs. 16.50
Explanation: Mixed cost = (3×9 + 7×15)/10 = Rs.13.20/kg; selling 5 kg at 25% profit gives SP = Rs.82.50, so profit = Rs.82.50 − Rs.66 = Rs.16.50.
Q2. An ornament seller marks the price of an article at Rs. 28,800. What is the selling price of the article if he gives a discount of 20%?
Answer: Rs. 23040
Explanation: Selling price after 20% discount = 28800 × 0.80 = Rs.23,040. Show the calculation clearly when solving similar quantitative items.
Q3. Rehman mixed 24 kg of butter at Rs. 150 per kg with 36 kg butter at the rate of Rs. 125 per kg. At what price per kg should he sell the mixture to make a profit of 40% in the transaction?
Answer: Rs. 189
Explanation: Weighted average cost = (24×150 + 36×125)/60 = 8100/60 = Rs.135/kg; selling at 40% profit: 135 × 1.40 = Rs.189.
Q4. A man sells two buffaloes for Rs.7,820 each. On one he gains 15% and on the other, he loses 15%. His total gain or loss in the transaction is:
Answer: 2.25% loss
Explanation: Selling equal amounts at equal but opposite profit/loss percentages always results in a net loss = (percentage²)/100 = (15²)/100 = 2.25% loss.
Q5. An article is bought for Rs.600 and sold for Rs.500, find the loss percent?
Answer: 16.67%
Explanation: Loss = Rs.100 on CP of Rs.600; loss% = (100/600) × 100 = 16.67%.
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