SSC CGL Quant – Profit, Loss & Discount – Level 2 · Exam Level · Tier I Sprint
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10 articles sell for 9 MP = 10 × 1.08 CP → MP/CP = 10.8/9 = 1.2 → 20%.
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SSC CGL Quant – Profit, Loss & Discount – Level 2 · Exam Level · Tier I Sprint – 15 questions, subject: Quantitative Aptitude. Every question has the correct answer with a one-line explanation; tap "Show Answer". Free practice for TNPSC, UPSC, SSC, Bank and RRB exams – Shanmugam IAS Academy, Coimbatore.
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1.
A trader marks his goods 30% above cost and allows a 10% discount. His profit per cent is:
Correct Answer: B [17%]
Explanation:
1.3 × 0.9 = 1.17 → 17%.
2.
An article costs ₹ 1,800. At what price must it be marked so that after a 10% discount the profit is 25%?
Correct Answer: A [₹ 2,500]
Explanation:
MP = 1,800 × 125/90 = ₹ 2,500.
3.
A sofa is marked ₹ 8,000. After successive discounts of 25% and 10% the buyer pays:
Correct Answer: C [₹ 5,400]
Explanation:
8,000 × 0.75 × 0.9 = ₹ 5,400.
4.
Two-quantity comparison
Quantity I: the single discount equal to successive discounts of 30% and 20%
Quantity II: the single discount equal to successive discounts of 40% and 5%
Quantity I: the single discount equal to successive discounts of 30% and 20%
Quantity II: the single discount equal to successive discounts of 40% and 5%
Correct Answer: A [Quantity I > Quantity II]
Explanation:
I: 30 + 20 − 6 = 44%. II: 40 + 5 − 2 = 43%.
5.
A dealer professes to sell at cost price but uses an 880 g weight for 1 kg. His gain is:
Correct Answer: D [13 7/11%]
Explanation:
120 g extra on 880 g = 3/22 = 13 7/11%.
6.
A shopkeeper sells sugar at 4% below cost price but gives only 800 g for 1 kg. His result is:
Correct Answer: D [20% gain]
Explanation:
0.96 × 1,000/800 = 1.2 → 20% gain.
7.
Two mobile phones are sold for ₹ 19,200 each, one at a 20% gain and the other at a 20% loss. The overall loss is:
Correct Answer: C [₹ 1,600]
Explanation:
CPs 16,000 and 24,000 = 40,000; SP 38,400 → loss ₹ 1,600 (4%).
8.
The profit made by selling a printer for ₹ 1,690 is equal to the loss made by selling it for ₹ 1,250. Its cost price is:
Correct Answer: B [₹ 1,470]
Explanation:
CP is midway: (1,690 + 1,250)/2 = ₹ 1,470.
9.
Selling a watch at a 15% gain fetches ₹ 240 more than selling it at a 5% loss. The cost price is:
Correct Answer: A [₹ 1,200]
Explanation:
The gap of 20% of CP = 240 → CP = ₹ 1,200.
10.
Bananas are bought at 5 for ₹ 3 and sold at 6 for ₹ 4. The profit per cent is:
Correct Answer: A [11⅑%]
Explanation:
Take 30 bananas: CP ₹ 18, SP ₹ 20 → 2 on 18 = 11⅑%.
11.
Match the followingMatch the following (successive discounts → single discount):
P. 20% and 20% Q. 25% and 20% R. 10% and 20%
1. 40% 2. 28% 3. 36%
P. 20% and 20% Q. 25% and 20% R. 10% and 20%
1. 40% 2. 28% 3. 36%
Correct Answer: C [P-3, Q-1, R-2]
Explanation:
20, 20 → 36; 25, 20 → 40; 10, 20 → 28.
12.
Diagram-based
The tag shows the offer on a jacket. The buyer pays:
The tag shows the offer on a jacket. The buyer pays:
Correct Answer: B [₹ 1,296]
Explanation:
1,800 × 0.8 = 1,440; 1,440 × 0.9 = ₹ 1,296.
13.
Trick SpotterAn article is sold at the same price twice – once at x% profit and once (another piece) at x% loss. The quickest way to the overall result is:
Correct Answer: D [loss = x²/100 per cent]
Explanation:
Same-SP Square Loss: the piece sold at a loss has the larger CP, so the pair always loses x²/100 %.
14.
Assertion–Reason
A: A markup of 20% followed by a discount of 20% leaves the seller with a loss.
R: The discount is calculated on a larger base (MP) than the markup (CP).
A: A markup of 20% followed by a discount of 20% leaves the seller with a loss.
R: The discount is calculated on a larger base (MP) than the markup (CP).
Correct Answer: D [Both A and R are true and R explains A]
Explanation:
1.2 × 0.8 = 0.96 → 4% loss, because 20% of MP is more money than 20% of CP.
15.
A shop gives 'buy 9, get 1 free'. It still makes an 8% profit. By what per cent above cost are the goods marked?
Correct Answer: A [20%]
Explanation:
10 articles sell for 9 MP = 10 × 1.08 CP → MP/CP = 10.8/9 = 1.2 → 20%.
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