Profit and Loss
Q.11
Easy
A vendor buys oranges at ₹8 per dozen and sells them at ₹1 per orange. What is his profit percentage?
Explanation:
CP per orange = 8/12 = ₹2/3. SP per orange = ₹1. Profit = 1 - 2/3 = ₹1/3. Profit% = (1/3)/(2/3) × 100 = 50%
Q.12
Medium
A shopkeeper allows successive discounts of 15% and 10% on marked price. If selling price is ₹459, what is the marked price?
A
₹600
B
₹580
C
₹620
D
₹650
Explanation:
MP × 0.85 × 0.90 = 459. MP × 0.765 = 459. MP = 459/0.765 = ₹600
Q.13
Easy
A merchant sold goods for ₹3,000 at a gain of 25%. What is the cost price?
A
₹2,200
B
₹2,400
C
₹2,500
D
₹2,600
Correct Answer:
B. ₹2,400
Explanation:
SP = CP × 1.25. 3000 = CP × 1.25. CP = 3000/1.25 = ₹2,400
Q.14
Medium
A dealer purchases goods worth ₹5,000 and incurs ₹500 as transportation cost. He marks the cost price 40% above total cost and allows 20% discount. What is profit percentage?
Explanation:
Total CP = 5000 + 500 = ₹5,500. MP = 5500 × 1.40 = ₹7,700. SP = 7700 × 0.80 = ₹6,160. Profit% = (660/5500) × 100 = 12%
Q.15
Medium
An item is sold for ₹300 at a loss of 25%. What should be its selling price to gain 25% profit?
A
₹500
B
₹600
C
₹550
D
₹625
Explanation:
If SP = 300 and loss = 25%, CP = 300/0.75 = ₹400. For 25% profit, SP = 400 × 1.25 = ₹500
Q.16
Easy
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%
Explanation:
Let CP = 100. MP = 125. SP = 125 × 0.90 = 112.5. Profit% = (12.5/100) × 100 = 12.5%
Q.17
Medium
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%
Q.18
Medium
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%
Q.19
Easy
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%
Explanation:
Let CP = 4x, SP = 5x. Profit = x. Profit% = (x/4x) × 100 = 25%
Q.20
Medium
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
