PlacementPrepAn article bought for Rs. 640 is sold at a profit of 15%. What is the selling price?
Solution
SP = CP × (100 + profit%)/100 = 640 × 115/100 = 736.
Answer: (A) Rs. 736
Quantitative Aptitude · Arithmetic
Profit and Loss: placement practice questions
30 moderate questions in the pattern of campus placement tests. Pick an option to check your answer, then open the step-by-step solution.
By selling an article for Rs. 450, a shopkeeper loses 10%. What is the cost price?
Solution
SP = CP × (100 − 10)/100, so CP = 450 × 100/90 = 500.
Answer: (D) Rs. 500
A shopkeeper marks his goods 40% above cost price and gives a discount of 25%. What is his profit or loss percentage?
Solution
Take CP = 100. Marked price = 140.
SP = 140 × 75/100 = 105.
Result = 5%.
Answer: (D) 5% profit
A man sells two watches for Rs. 2400 each, gaining 10% on one and losing 10% on the other. What is his overall result?
Solution
When two items are sold at the same price with equal gain and loss of x%, there is always a loss of x²/100 %.
Loss = 10²/100 = 1%.
Answer: (C) 1% loss
The cost price of 18 articles equals the selling price of 15 articles. What is the profit percentage?
Solution
Let each article cost 1. CP of 15 articles = 15; their SP = 18.
Profit% = (18 − 15)/15 × 100 = 20%.
Answer: (B) 20%
An article bought for Rs. 750 is sold at a profit of 15%. What is the selling price?
Solution
SP = CP × (100 + profit%)/100 = 750 × 115/100 = 862.5.
Answer: (C) Rs. 862.50
A shopkeeper marks his goods 30% above cost price and gives a discount of 25%. What is his profit or loss percentage?
Solution
Take CP = 100. Marked price = 130.
SP = 130 × 75/100 = 97.5.
Result = -2.5%.
Answer: (B) 2.5% loss
A man sells two watches for Rs. 1200 each, gaining 25% on one and losing 25% on the other. What is his overall result?
Solution
When two items are sold at the same price with equal gain and loss of x%, there is always a loss of x²/100 %.
Loss = 25²/100 = 6.25%.
Answer: (D) 6.25% loss
The cost price of 20 articles equals the selling price of 16 articles. What is the profit percentage?
Solution
Let each article cost 1. CP of 16 articles = 16; their SP = 20.
Profit% = (20 − 16)/16 × 100 = 25%.
Answer: (C) 25%
A dishonest dealer claims to sell at cost price but uses a weight of 750 g instead of 1 kg. What is his gain percentage?
Solution
He gives 750 g but charges for 1000 g.
Gain% = (250/750) × 100 = 33 1/3%.
Answer: (C) 33 1/3%
An article bought for Rs. 750 is sold at a profit of 12%. What is the selling price?
Solution
SP = CP × (100 + profit%)/100 = 750 × 112/100 = 840.
Answer: (C) Rs. 840
By selling an article for Rs. 1500, a shopkeeper loses 25%. What is the cost price?
Solution
SP = CP × (100 − 25)/100, so CP = 1500 × 100/75 = 2000.
Answer: (C) Rs. 2000
A shopkeeper marks his goods 50% above cost price and gives a discount of 25%. What is his profit or loss percentage?
Solution
Take CP = 100. Marked price = 150.
SP = 150 × 75/100 = 112.5.
Result = 12.5%.
Answer: (C) 12.5% profit
A man sells two watches for Rs. 990 each, gaining 20% on one and losing 20% on the other. What is his overall result?
Solution
When two items are sold at the same price with equal gain and loss of x%, there is always a loss of x²/100 %.
Loss = 20²/100 = 4%.
Answer: (C) 4% loss
A dishonest dealer claims to sell at cost price but uses a weight of 800 g instead of 1 kg. What is his gain percentage?
Solution
He gives 800 g but charges for 1000 g.
Gain% = (200/800) × 100 = 25%.
Answer: (C) 25%
An article bought for Rs. 500 is sold at a profit of 25%. What is the selling price?
Solution
SP = CP × (100 + profit%)/100 = 500 × 125/100 = 625.
Answer: (B) Rs. 625
By selling an article for Rs. 750, a shopkeeper loses 25%. What is the cost price?
Solution
SP = CP × (100 − 25)/100, so CP = 750 × 100/75 = 1000.
Answer: (D) Rs. 1000
A shopkeeper marks his goods 20% above cost price and gives a discount of 20%. What is his profit or loss percentage?
Solution
Take CP = 100. Marked price = 120.
SP = 120 × 80/100 = 96.
Result = -4%.
Answer: (B) 4% loss
A man sells two watches for Rs. 3600 each, gaining 25% on one and losing 25% on the other. What is his overall result?
Solution
When two items are sold at the same price with equal gain and loss of x%, there is always a loss of x²/100 %.
Loss = 25²/100 = 6.25%.
Answer: (D) 6.25% loss
The cost price of 12 articles equals the selling price of 10 articles. What is the profit percentage?
Solution
Let each article cost 1. CP of 10 articles = 10; their SP = 12.
Profit% = (12 − 10)/10 × 100 = 20%.
Answer: (D) 20%
An article bought for Rs. 2400 is sold at a profit of 20%. What is the selling price?
Solution
SP = CP × (100 + profit%)/100 = 2400 × 120/100 = 2880.
Answer: (A) Rs. 2880
By selling an article for Rs. 340, a shopkeeper loses 15%. What is the cost price?
Solution
SP = CP × (100 − 15)/100, so CP = 340 × 100/85 = 400.
Answer: (C) Rs. 400
A shopkeeper marks his goods 50% above cost price and gives a discount of 20%. What is his profit or loss percentage?
Solution
Take CP = 100. Marked price = 150.
SP = 150 × 80/100 = 120.
Result = 20%.
Answer: (A) 20% profit
A man sells two watches for Rs. 1200 each, gaining 10% on one and losing 10% on the other. What is his overall result?
Solution
When two items are sold at the same price with equal gain and loss of x%, there is always a loss of x²/100 %.
Loss = 10²/100 = 1%.
Answer: (B) 1% loss
The cost price of 25 articles equals the selling price of 20 articles. What is the profit percentage?
Solution
Let each article cost 1. CP of 20 articles = 20; their SP = 25.
Profit% = (25 − 20)/20 × 100 = 25%.
Answer: (D) 25%
An article bought for Rs. 400 is sold at a profit of 30%. What is the selling price?
Solution
SP = CP × (100 + profit%)/100 = 400 × 130/100 = 520.
Answer: (C) Rs. 520
By selling an article for Rs. 360, a shopkeeper loses 10%. What is the cost price?
Solution
SP = CP × (100 − 10)/100, so CP = 360 × 100/90 = 400.
Answer: (B) Rs. 400
A shopkeeper marks his goods 25% above cost price and gives a discount of 25%. What is his profit or loss percentage?
Solution
Take CP = 100. Marked price = 125.
SP = 125 × 75/100 = 93.75.
Result = -6.25%.
Answer: (D) 6.25% loss
A man sells two watches for Rs. 2400 each, gaining 25% on one and losing 25% on the other. What is his overall result?
Solution
When two items are sold at the same price with equal gain and loss of x%, there is always a loss of x²/100 %.
Loss = 25²/100 = 6.25%.
Answer: (C) 6.25% loss
By selling an article for Rs. 540, a shopkeeper loses 10%. What is the cost price?
Solution
SP = CP × (100 − 10)/100, so CP = 540 × 100/90 = 600.
Answer: (A) Rs. 600
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