Govt. Exams
Entrance Exams
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Topics in Quantitative Aptitude
If a watch is sold for ₹1,650 at a loss of 12%, what is its cost price?
Correct Answer:
A. ₹1,875
EXPLANATION
Step 1: Loss = 12%, so SP = 88% of CP.
Step 2: Let CP = x, then 0.88x = 1650.
Step 3: x = 1650/0.88 = ₹1,875.
So option A is correct.
A bookstore purchases novels at ₹240 per unit and sells them at ₹288 per unit. What is the profit percentage?
Correct Answer:
B. 20%
EXPLANATION
Step 1: Cost Price (CP) = ₹240, Selling Price (SP) = ₹288.
Step 2: Profit = SP - CP = 288 - 240 = ₹48.
Step 3: Profit% = (Profit/CP) × 100 = (48/240) × 100 = 20%.
So option B is correct.
If a merchant sells rice at ₹56 per kg and makes a profit of 40%, at what price did he buy the rice?
Correct Answer:
C. ₹40 per kg
EXPLANATION
Step 1: Selling Price = ₹56 per kg and Profit = 40%.
Step 2: CP = SP / (1 + Profit%/100) = 56 / 1.40 = ₹40 per kg.
Step 3: Verification: Profit = 40 × 0.40 = ₹16; SP = 40 + 16 = ₹56 ✓.
So option C is correct.
A mobile phone is sold for ₹18,900 at a profit of 35%. What is its cost price?
Correct Answer:
B. ₹14,000
EXPLANATION
Step 1: Selling Price = ₹18,900 and Profit = 35%.
Step 2: CP = SP / (1 + Profit%/100) = 18,900 / 1.35 = ₹14,000.
Step 3: Verification: Profit = 14,000 × 0.35 = ₹4,900; SP = 14,000 + 4,900 = ₹18,900 ✓.
So option B is correct.
If an article costs ₹640 and is sold at a loss of 8%, what is the selling price?
Correct Answer:
B. ₹588.80
EXPLANATION
Step 1: Cost Price = ₹640.
Step 2: Loss = 8% of 640 = 0.08 × 640 = ₹51.20.
Step 3: Selling Price = CP - Loss = 640 - 51.20 = ₹588.80.
So option B is correct.
A merchant buys cloth at ₹450 per meter and sells it at ₹540 per meter. What is the profit percentage?
Correct Answer:
B. 20%
EXPLANATION
Step 1: Cost Price (CP) = ₹450 per meter.
Step 2: Selling Price (SP) = ₹540 per meter.
Step 3: Profit = SP - CP = 540 - 450 = ₹90.
Step 4: Profit% = (Profit/CP) × 100 = (90/450) × 100 = 20%.
So option B is correct.
A trader buys 50 kg of sugar at ₹40 per kg and sells it at ₹48 per kg. What is the total profit?
Correct Answer:
C. ₹400
EXPLANATION
Step 1: Total Cost Price = 50 × 40 = ₹2,000.
Step 2: Total Selling Price = 50 × 48 = ₹2,400.
Step 3: Total Profit = 2,400 - 2,000 = ₹400.
So option C is correct.
If an article is sold at ₹810 with a profit of 35%, what was its cost price?
Correct Answer:
A. ₹600
EXPLANATION
Step 1: Let CP = x. SP = CP + Profit = x + 0.35x = 1.35x.
Step 2: 1.35x = 810, so x = 810/1.35 = ₹600.
So option A is correct.
A merchant sells a watch at a loss of 12%. If the cost price is ₹1,500, what is the selling price?
Correct Answer:
B. ₹1,320
EXPLANATION
Step 1: Loss = 12% of CP = 0.12 × 1,500 = ₹180.
Step 2: SP = CP - Loss = 1,500 - 180 = ₹1,320.
So option B is correct.
A shopkeeper buys a shirt for ₹400 and sells it for ₹520. What is his profit percentage?
Correct Answer:
B. 30%
EXPLANATION
Step 1: Profit = Selling Price - Cost Price = 520 - 400 = ₹120.
Step 2: Profit% = (Profit/CP) × 100 = (120/400) × 100 = 30%.
So option B is correct.