SSC CGL Quant – Percentage – Level 3 · Challenge
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Correct 5N/3, wrong 3N/5. Error = (5/3 − 3/5) ÷ 5/3 × 100 = (1 − 9/25) × 100 = 64%.
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SSC CGL Quant – Percentage – 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.
Three successive changes of +20%, +25% and −30% are made on a price. The net change is:
Correct Answer: A [5% increase]
Explanation:
1.2 × 1.25 × 0.7 = 1.05 → +5%.
2.
Statement-basedA's salary was cut by 20% and then increased by 20%. B's salary was increased by 20% and then cut by 20%. Which is true?
Correct Answer: D [Both lose 4%]
Explanation:
Order does not matter: 0.8 × 1.2 = 1.2 × 0.8 = 0.96.
3.
If the price of petrol rises by 12.5%, by how much must a driver cut consumption (in %) to keep spending unchanged?
Correct Answer: B [11⅑%]
Explanation:
12.5/112.5 × 100 = 100/9 = 11⅑%.
4.
The radius of a circle is increased by 10%. By what percentage does its area increase?
Correct Answer: C [21%]
Explanation:
Area ∝ r² → 10 + 10 + 100/100 = 21%.
5.
A solution of 80 L contains 15% salt. How much water must evaporate to make it a 20% salt solution?
Correct Answer: C [20 L]
Explanation:
Salt 12 L stays; new total 12/0.20 = 60 L → evaporate 20 L.
6.
In a class, 70% of students passed in English, 65% in Maths and 45% in both. If 30 students failed in both, how many students are in the class?
Correct Answer: B [300]
Explanation:
Passed in at least one = 70 + 65 − 45 = 90% → failed both = 10% = 30 → 300.
7.
A number is first increased by x% and then decreased by x%. The result is 1% less than the original. Find x.
Correct Answer: D [10]
Explanation:
Net = −x²/100 = −1 → x = 10.
8.
Data tableRead: “Sales (₹ lakh): 2023: 48, 2024: 60, 2025: 54.” Which statement is correct?
Correct Answer: A [2025 is 10% below 2024]
Explanation:
60/48 = 1.25 (25% up); 54/60 = 0.9 (10% down); 54/48 = 1.125 (12.5% up).
9.
Ravi saves 20% of his income. His income rises by 20% and his expenditure by 10%. By what percentage do his savings rise?
Correct Answer: A [60%]
Explanation:
Take income 100: spend 80, save 20.
10.
A student multiplied a number by 3/5 instead of 5/3. What is the percentage error in the result?
Correct Answer: C [64%]
Explanation:
Correct 5N/3, wrong 3N/5. Error = (5/3 − 3/5) ÷ 5/3 × 100 = (1 − 9/25) × 100 = 64%.
➤ 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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