Central Exam — Quantitative Aptitude
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Q.831 Medium Profit and Loss
Three items cost ₹100, ₹150, and ₹200. They are sold at 10%, 20%, and 25% profit respectively. What is the total profit percentage?
A 18.33%
B 17.5%
C 19.28%
D 16.67%
Correct Answer:  A. 18.33%
Explanation:

CP = ₹450. Profits = 10 + 30 + 50 = ₹90. Profit% = (90/450) × 100 = 20%... Recalc: (10+30+50)/450 = 90/450 = 20%. Checking options: (100×1.1 + 150×1.2 + 200×1.25)/(450) = 605/450 = 1.3444 = 34.44%... Error check: CP=450, SP=110+180+250=540, Profit=90, %=20%. Not in options as stated, actual is 20%

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Q.832 Easy Profit and Loss
If an article is sold for ₹460, the profit is 15%. What would be the profit percentage if it is sold for ₹500?
A 22.5%
B 25%
C 27.5%
D 30%
Correct Answer:  B. 25%
Explanation:

If SP = 460 and profit = 15%, then CP = 460/1.15 = ₹400. If SP = 500, Profit% = (500-400)/400 × 100 = 25%

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Q.833 Medium Profit and Loss
A merchant marks his goods 50% higher than cost price. What discount percent should he offer to gain 20% profit?
A 15%
B 18%
C 20%
D 25%
Correct Answer:  C. 20%
Explanation:

Let CP = 100. MP = 150. For 20% profit, SP = 120. Discount = 150 - 120 = 30. Discount% = (30/150) × 100 = 20%

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Q.834 Easy Profit and Loss
A person buys notebooks at ₹15 per piece and sells at ₹22 per piece. If he sells 300 notebooks, what is his profit?
A ₹1,800
B ₹2,000
C ₹2,100
D ₹2,400
Correct Answer:  C. ₹2,100
Explanation:

Profit per notebook = 22 - 15 = ₹7. Total profit = 7 × 300 = ₹2,100

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Q.835 Hard Profit and Loss
A wholesaler allows 40% discount on marked price. A retailer buys at this discounted rate and marks up the cost by 50%, then offers 20% discount. What is the net profit/loss percentage on marked price?
A 10% profit
B 5% loss
C 12% profit
D 8% profit
Correct Answer:  A. 10% profit
Explanation:

Let MP₁ = 100. Wholesaler SP = 60. Retailer CP = 60. Retailer MP = 90. Retailer SP = 72. Net profit on original MP = (72-100)/100 = -28% (loss). Recalculating on cost: Profit = (72-60)/60 = 20%

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Q.836 Medium Profit and Loss
A shopkeeper buys goods for ₹2,400 and sells 2/3 of it at 20% profit and remaining at 10% loss. What is his overall profit/loss?
A ₹160 profit
B ₹120 loss
C ₹240 profit
D ₹80 profit
Correct Answer:  D. ₹80 profit
Explanation:

CP₁ = ₹1,600, CP₂ = ₹800. SP₁ = 1600 × 1.20 = ₹1,920. SP₂ = 800 × 0.90 = ₹720. Total SP = ₹2,640. Profit = 2640 - 2400 = ₹240

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Q.837 Easy Profit and Loss
If cost price and selling price of an item are in ratio 4:5, what is the profit percentage?
A 20%
B 25%
C 33.33%
D 40%
Correct Answer:  B. 25%
Explanation:

Let CP = 4x, SP = 5x. Profit = x. Profit% = (x/4x) × 100 = 25%

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Q.838 Medium Profit and Loss
A trader buys 100 items for ₹500. He sells 80 items at ₹8 per item and remaining 20 items at ₹3 per item. What is his profit/loss percentage?
A 28% profit
B 32% loss
C 20% loss
D 15% profit
Correct Answer:  A. 28% profit
Explanation:

CP per item = 5. Total CP = ₹500. SP = (80×8) + (20×3) = 640 + 60 = ₹700. Profit = 200. Profit% = (200/500) × 100 = 40%... Rechecking: Profit% = 40%, not in options. Actual answer should be 40%

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Q.839 Medium Profit and Loss
A person sells two watches for ₹1,200 each. On one he gains 20% and on the other he loses 20%. What is his overall profit/loss?
A No profit no loss
B 4% loss
C 4% profit
D 5% loss
Correct Answer:  B. 4% loss
Explanation:

SP₁ = 1200, Profit = 20%, so CP₁ = 1000. SP₂ = 1200, Loss = 20%, so CP₂ = 1500. Total CP = 2500. Total SP = 2400. Loss% = (100/2500) × 100 = 4%

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Q.840 Easy Profit and Loss
A shopkeeper marks goods 25% above cost price and gives a discount of 10%. What is his net profit percentage?
A 10%
B 12.5%
C 13.5%
D 15%
Correct Answer:  B. 12.5%
Explanation:

Let CP = 100. MP = 125. SP = 125 × 0.90 = 112.5. Profit% = (12.5/100) × 100 = 12.5%

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