SSC CGL Quant – Profit, Loss & Discount – Level 3 · Challenge

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SSC CGL Quant – Profit, Loss & Discount – Level 3 · Challenge – 10 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 shopkeeper marks a cooler 20% above cost and gives a 10% discount, making a profit of ₹ 640. The marked price is:

Correct Answer: C [₹ 9,600]

Explanation:

Net 8% of CP = 640 → CP 8,000 → MP = 1.2 × 8,000 = ₹ 9,600.

2.  
A trader sells one-fourth of his stock (by cost) at a 20% loss. At what profit per cent must he sell the rest to gain 15% on the whole?

Correct Answer: B [26⅔%]

Explanation:

(1/4)(−20) + (3/4)x = 15 → 3x/4 = 20 → x = 26⅔%.

3.  
An article marked ₹ 20,000 is sold after three successive discounts of 10% each. The selling price is:

Correct Answer: A [₹ 14,580]

Explanation:

20,000 × 0.9³ = 20,000 × 0.729 = ₹ 14,580.

4.  
With a 10% discount a shopkeeper earns 30%. With a 20% discount his profit would be (nearest whole number):

Correct Answer: B [16%]

Explanation:

MP/CP = 130/90 = 13/9; at 20% off SP/CP = 0.8 × 13/9 = 104/90 → 15.6% ≈ 16%.

5.  
A dishonest dealer sells at 20% below cost price but uses a 750 g weight for 1 kg. His gain per cent is:

Correct Answer: C [6⅔%]

Explanation:

0.8 × 1,000/750 = 16/15 → gain 1/15 = 6⅔%.

6.  
A man buys 25 pens for the price of 20 and sells them at the marked price of each pen. His gain per cent is:

Correct Answer: D [25%]

Explanation:

He pays the MP of 20 for 25 pens and sells all 25 at MP: (25 − 20)/20 = 25%.

7.  
Two TVs are sold for ₹ 14,280 each, one at a 19% gain and the other at a 15% loss. The overall result is:

Correct Answer: B [loss of ₹ 240]

Explanation:

CPs: 14,280/1.19 = 12,000 and 14,280/0.85 = 16,800 → total 28,800; SP 28,560 → loss ₹ 240.

8.  
Spot My Mistake'A shopkeeper marks goods 25% above cost and gives two discounts of 10% and 10%. Step 1: total discount = 20%. Step 2: 1.25 × 0.8 = 1.0. Step 3: so he makes no profit.' The first wrong step is:

Correct Answer: C [Step 1]

Explanation:

Successive 10% and 10% = 19%, not 20%; 1.25 × 0.81 = 1.0125 → 1.25% profit.

9.  
An article is marked ₹ 2,500. After a first discount of 20% and a second discount, the buyer pays ₹ 1,700. The second discount is:

Correct Answer: A [15%]

Explanation:

After 20% off: ₹ 2,000. Second discount = 300 on 2,000 = 15% (not 300 on 2,500 = 12%).

10.  
A sells a cycle to B at a 25% profit, and B sells it to C at a 10% loss. C pays ₹ 4,500. What did the cycle cost A?

Correct Answer: D [₹ 4,000]

Explanation:

A's cost × 1.25 × 0.9 = 4,500 → A's cost = 4,500 ÷ 1.125 = ₹ 4,000.

➤ Full notes, shortcuts and every answer explained – SSC CGL 2026 Quantitative Aptitude book (₹149): www.shanmugamiasacademy.in/study-materials/ssc-cgl-quantitative-aptitude

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