SSC CGL Quant – Percentage – Tier II Level · Marathon

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SSC CGL Quant – Percentage – Tier II Level · Marathon – 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 machine worth ₹ 2,50,000 depreciates by 10% every year. Its value after 2 years is:

Correct Answer: B [₹ 2,02,500]

Explanation:

2,50,000 × 0.9² = 2,02,500.

2.  
The population of a town grows at 5% per year. If it is 44,100 now, what was it two years ago?

Correct Answer: D [40000]

Explanation:

44,100 / 1.05² = 40,000.

3.  
Two numbers are respectively 20% and 50% more than a third number. The first number is what percentage of the second?

Correct Answer: D [80%]

Explanation:

1.2/1.5 = 0.8 = 80%.

4.  
In an examination, 35% candidates failed in Hindi, 42% failed in English and 15% failed in both. If 1,140 candidates passed in both, how many appeared?

Correct Answer: A [3000]

Explanation:

Failed in at least one = 35 + 42 − 15 = 62% → passed both = 38% = 1,140 → 3,000.

5.  
The price of an item is reduced by 20%, so a buyer gets 4 kg more for ₹ 400. The new price per kg is:

Correct Answer: B [₹ 20]

Explanation:

Saving 20% of 400 = 80 buys 4 kg → ₹ 20/kg (new).

6.  
Assertion–Reason
A: An increase of 50% followed by a decrease of 50% gives a net loss of 25%.
R: For successive changes a and b, net = a + b + ab/100.

Correct Answer: C [Both A and R are true and R explains A]

Explanation:

50 − 50 − 2500/100 = −25%.

7.  
If 20% of A = 30% of B = 1/6 of C, then A : B : C is:

Correct Answer: C [15 : 10 : 18]

Explanation:

Let each = 3k: A = 15k, B = 10k, C = 18k.

8.  
A's income is 25% more than B's, and B's expenditure is 30% less than A's. B saves ₹ 9,000, which is 30% of B's income. What is A's saving?

Correct Answer: D [₹ 7,500]

Explanation:

B: income 30,000, expenditure 21,000 → A's expenditure 21,000/0.7 = 30,000; A's income 37,500 → saving 7,500.

9.  
The value of a car falls by 20% in the first year and 15% in the second year. What single depreciation rate over the two years gives the same final value?

Correct Answer: B [32%]

Explanation:

−20 − 15 + 300/100 = −32%.

10.  
Fill in the blankIf a number is increased by 150%, it must be decreased by ___ to get back the original number.

Correct Answer: A [60%]

Explanation:

150/250 × 100 = 60% (the base is now 2.5 times the number).

➤ 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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