SSC CGL Preparation – Day 12

MCQs: Profit and Loss

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Q1. A man buys an article for ₹250 and sells it for ₹300. What is his profit percentage?

A) 10%
B) 15%
C) 20%
D) 25%

✅ Answer: D
Solution:
Profit = 300 − 250 = ₹50
Profit% = (50 / 250) × 100 = 20%

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Q2. If the cost price of 12 articles is equal to the selling price of 10 articles, find the profit percent.

A) 16.67%
B) 20%
C) 25%
D) 22.22%

✅ Answer: C
Solution:
Let CP of 1 article = ₹1 → CP of 12 = ₹12
SP of 10 articles = ₹12 → SP of 1 = ₹1.2
Profit = 1.2 − 1 = ₹0.2 → Profit% = (0.2 / 1) × 100 = 20%

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Q3. A trader marks his goods 25% above cost price and gives a discount of 10%. His gain percent is:

A) 12.5%
B) 15%
C) 10%
D) 17.5%

✅ Answer: A
Solution:
Let CP = ₹100
MP = ₹125
SP = 125 − 10% of 125 = ₹112.5
Profit = 112.5 − 100 = ₹12.5
Profit% = 12.5%

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Q4. An article is sold at 20% loss. If it had been sold for ₹100 more, there would have been 20% gain. Find CP.

A) ₹250
B) ₹300
C) ₹200
D) ₹275

✅ Answer: B
Solution:
Let CP = x
At 20% loss → SP = 0.8x
At 20% gain → SP = 1.2x
So,
1.2x − 0.8x = ₹100 → 0.4x = 100 → x = ₹250

✅ Correct Answer: A

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Q5. A dishonest dealer uses a 900g weight instead of 1kg but sells at cost price. What is his profit %?

A) 10%
B) 11.11%
C) 9.09%
D) 12.5%

✅ Answer: B
Solution:
Gain% = (1000 − 900)/900 × 100 = 100/900 × 100 = 11.11%

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Q6. A trader sells a chair at 15% profit. If CP = ₹850, what is SP?

A) ₹977.50
B) ₹960
C) ₹970
D) ₹972

✅ Answer: A
Solution:
SP = CP × (100 + Profit%) / 100 = 850 × 115/100 = ₹977.50

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Q7. If a shopkeeper sells an item at a 25% discount and still makes a 20% profit, find the markup percentage.

A) 60%
B) 50%
C) 75%
D) 40%

✅ Answer: C
Solution:
Let CP = ₹100
Profit = 20 → SP = ₹120
Let MP = x
SP = MP – 25% of MP = 0.75x → 0.75x = 120 → x = 160
Markup% = (160 − 100)/100 × 100 = 60%

✅ Answer: A

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Q8. A man sells two watches for ₹1200 each, one at 20% gain and the other at 20% loss. What is the overall gain/loss?

A) No profit no loss
B) 4% profit
C) 4% loss
D) 2% profit

✅ Answer: C
Solution:
Use formula:
Loss% = (x²)/100 = (20)² / 100 = 4% loss

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Q9. The cost price of an article is ₹800. It is marked 40% above CP and sold with 10% discount. What is the profit %?

A) 24%
B) 26%
C) 30%
D) 28%

✅ Answer: A
Solution:
MP = 800 + 40% of 800 = ₹1120
SP = 1120 – 10% of 1120 = 1120 − 112 = ₹1008
Profit = 1008 − 800 = ₹208
Profit% = (208 / 800) × 100 = 26%

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Q10. A shopkeeper makes a 25% profit after giving a 20% discount. What is the ratio of Marked Price to Cost Price?

A) 6:5
B) 5:4
C) 4:3
D) 3:2

✅ Answer: A
Solution:
Let CP = ₹100
Profit = 25 → SP = ₹125
Let MP = x → SP = 80% of MP → 0.8x = 125 → x = ₹156.25
MP:CP = 156.25 : 100 = 25:16

✅ Not listed – closest ratio approx: 25:16