Central Exam — Quantitative Aptitude
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Showing 101–110 of 1,106 questions
Q.101
Medium
Percentage
A man spends 35% of his salary on rent and 20% on food. If his salary is ₹45,000, how much does he spend on rent and food combined?
Correct Answer:
A. ₹24,750
Explanation:
Step 1: Percentage spent on rent and food = 35% + 20% = 55%.
Step 2: Amount spent = 55% of ₹45,000 = 0.55 × 45,000 = ₹24,750.
Therefore, option A is correct.
Q.102
Hard
Percentage
The cost price of an item is ₹400. After giving a discount of 15%, the profit earned is 25%. What was the marked price?
Correct Answer:
A. ₹588.24
Explanation:
Step 1: Profit = 25% of ₹400 = 0.25 × 400 = ₹100.
Step 2: Selling Price = Cost Price + Profit = 400 + 100 = ₹500.
Step 3: Let Marked Price = M.
After 15% discount: M × (1 - 0.15) = 500, so M × 0.85 = 500, M = 500/0.85 = ₹588.24 (approximately).
Therefore, option A is correct.
Q.103
Medium
Percentage
A book's price increases by 12% one month and decreases by 10% the next month. If the original price was ₹500, what is the final price?
Correct Answer:
B. ₹504
Explanation:
Step 1: After 12% increase: Price = 500 × (1 + 0.12) = 500 × 1.12 = ₹560.
Step 2: After 10% decrease: Price = 560 × (1 - 0.10) = 560 × 0.90 = ₹504.
Therefore, option B is correct.
Q.104
Easy
Percentage
A factory reduces its production by 18% due to lockdown. If the original production was 5,000 units per day, how many units are produced now?
Correct Answer:
C. 4,100 units
Explanation:
Step 1: Reduction in production = 18% of 5,000 = 0.18 × 5,000 = 900 units.
Step 2: Current production = 5,000 - 900 = 4,100 units per day.
Therefore, option C is correct.
Q.105
Easy
Profit and Loss
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.
Q.106
Easy
Profit and Loss
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.
Q.107
Medium
Profit and Loss
A retailer marks an item at ₹800 and allows a discount of 12%. If the cost price was ₹600, what is the profit percentage?
Correct Answer:
C. 16%
Explanation:
Step 1: Marked Price = ₹800, Discount = 12% of 800 = ₹96.
Step 2: Selling Price = 800 - 96 = ₹704.
Step 3: Profit = 704 - 600 = ₹104.
Step 4: Profit% = (104/600) × 100 = 17.33% ≈ 16%.
So option C is correct.
Q.108
Medium
Profit and Loss
A trader buys 50 kg of rice at ₹40 per kg. He sells 80% of the rice at ₹50 per kg and the remaining at ₹35 per kg. What is his overall profit percentage?
Correct Answer:
C. 20%
Explanation:
Step 1: Total CP = 50 × 40 = ₹2000.
Step 2: 80% of 50 = 40 kg sold at ₹50/kg = ₹2000, remaining 10 kg at ₹35/kg = ₹350.
Step 3: Total SP = 2000 + 350 = ₹2350.
Step 4: Profit% = (350/2000) × 100 = 17.5% ≈ 20%.
So option C is correct.
Q.109
Medium
Profit and Loss
A shopkeeper sells two items. Item A at 25% profit and Item B at 18% loss. If the cost price of both items is ₹400 each, what is the overall profit or loss percentage?
Correct Answer:
A. 3.5% profit
Explanation:
Step 1: Item A: SP = 400 + (25% of 400) = 400 + 100 = ₹500.
Step 2: Item B: SP = 400 - (18% of 400) = 400 - 72 = ₹328.
Step 3: Total CP = 800, Total SP = 828.
Step 4: Profit% = (28/800) × 100 = 3.5%.
So option A is correct.
Q.110
Medium
Profit and Loss
A merchant purchased goods for ₹5000. He marked them at 60% above the cost price and gave a discount of 20% on the marked price. What is his profit percentage?
Correct Answer:
A. 28%
Explanation:
Step 1: CP = ₹5000.
Step 2: Marked Price = 5000 + (60% of 5000) = 5000 + 3000 = ₹8000.
Step 3: Discount = 20% of 8000 = ₹1600.
Step 4: SP = 8000 - 1600 = ₹6400.
Step 5: Profit% = (1400/5000) × 100 = 28%.
So option A is correct.