Govt. Exams
Entrance Exams
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Topics in Quantitative Aptitude
A shopkeeper buys two items for ₹1,000 each. He sells one at 20% profit and the other at 15% loss. What is his net profit/loss?
Correct Answer:
B. ₹50 profit
EXPLANATION
Item 1 SP = 1,000 × 1.2 = ₹1,200. Item 2 SP = 1,000 × 0.85 = ₹850. Total SP = ₹2,050. Total CP = ₹2,000. Net profit = ₹50.
A person buys 3 kg of sugar for ₹150 and sells 2 kg for ₹120. What is his profit/loss percentage?
Correct Answer:
A. 20% profit
EXPLANATION
CP per kg = 150/3 = ₹50. SP per kg = 120/2 = ₹60. Profit per kg = ₹10. Profit% = 10/50 × 100 = 20%.
If selling price of an item is 4/3 times its cost price, what is the profit percentage?
Correct Answer:
C. 33.33%
EXPLANATION
SP = (4/3)CP. Profit = SP - CP = (4/3)CP - CP = (1/3)CP. Profit% = (1/3)/(CP) × 100 = 33.33%.
The cost price of 12 items equals the selling price of 10 items. Find profit percentage.
Correct Answer:
C. 20%
EXPLANATION
Let CP of 1 item = x. Then 12x = 10 × SP. SP = 1.2x. Profit = 20%.
A man buys books at 5 for ₹400 and sells at 4 for ₹400. What is his profit percentage?
Correct Answer:
B. 25%
EXPLANATION
CP per book = 400/5 = ₹80. SP per book = 400/4 = ₹100. Profit = 20/80 × 100 = 25%.
A trader marks goods at 60% above cost price and allows a discount of 25%. What is his profit percentage?
Correct Answer:
B. 20%
EXPLANATION
Let CP = 100. MP = 160. SP = 160 × 0.75 = 120. Profit = 20%.
By selling an item for ₹432, a shopkeeper loses 10%. At what price should he sell to gain 20%?
Correct Answer:
A. ₹576
EXPLANATION
SP = ₹432 at 10% loss. CP = 432/0.9 = ₹480. For 20% profit: SP = 480 × 1.2 = ₹576.
If a vendor sells bananas at a loss of 15% and the cost price is ₹500 per kg, at what price does he sell per kg?
Correct Answer:
B. ₹425
EXPLANATION
Step 1: Loss = 15% of CP = 15% of 500 = ₹75.
Step 2: Selling Price = CP - Loss = 500 - 75 = ₹425 per kg.
So option B is correct.
A merchant buys a shirt for ₹240 and sells it for ₹312. What is the profit percentage?
Correct Answer:
B. 30%
EXPLANATION
Step 1: Profit = Selling Price - Cost Price = 312 - 240 = ₹72.
Step 2: Profit% = (Profit/CP) × 100 = (72/240) × 100 = 30%.
So option B is correct.
A shopkeeper sells pens at ₹12 each, making a profit of 50%. How much does he spend to buy 180 pens?
Correct Answer:
A. ₹1,440
EXPLANATION
Step 1: SP = ₹12, Profit = 50%, so CP = 12/1.50 = ₹8 per pen.
Step 2: Cost for 180 pens = 8 × 180 = ₹1,440.
So option A is correct.