SSC CGL Quant – Percentage – Level 2 · Exam Level · Tier I Sprint

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SSC CGL Quant – Percentage – Level 2 · Exam Level · Tier I Sprint – 16 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.  
The price of rice increases by 20%. By what percentage must a family reduce consumption so that its expenditure on rice does not change?

Correct Answer: C [16⅔%]

Explanation:

r/(100 + r) × 100 = 20/120 × 100 = 16⅔%.

2.  
A's income is 40% more than B's. By what percentage is B's income less than A's?

Correct Answer: D [28⁴⁄₇%]

Explanation:

40/140 × 100 = 2/7 × 100 = 28⁴⁄₇% (the base becomes A).

3.  
A number is increased by 40% and the result is decreased by 40%. The net change is:

Correct Answer: B [16% decrease]

Explanation:

40 − 40 − 1600/100 = −16%.

4.  
In an election between two candidates, the winner gets 62% of the valid votes and wins by 7,200 votes. 4% of the votes polled were invalid. How many votes were polled?

Correct Answer: A [31250]

Explanation:

Margin = 24% of valid → valid = 30,000 → polled = 30,000/0.96 = 31,250.

5.  
To pass an examination a candidate needs 40% marks. Ravi gets 178 marks and fails by 22 marks. What are the maximum marks?

Correct Answer: B [500]

Explanation:

Pass mark = 178 + 22 = 200 = 40% → max = 500.

6.  
The population of a village is 15,000. It increases by 8% in the first year and decreases by 5% in the second year. Population after two years:

Correct Answer: C [15390]

Explanation:

15,000 × 1.08 × 0.95 = 15,390.

7.  
Two-quantity comparison
Quantity I: 62.5% of 288
Quantity II: 45% of 400

Correct Answer: D [Quantity I = Quantity II]

Explanation:

QI = 5/8 × 288 = 180; QII = 180.

8.  
If x is 20% more than y, and y is 25% less than z, then x is what percentage of z?

Correct Answer: A [90%]

Explanation:

x = 1.2y, y = 0.75z → x = 0.9z = 90% of z.

9.  
A shopkeeper's sales rose 20% this month. Last month they were ₹ 1,45,000. This month's sales are:

Correct Answer: D [₹ 1,74,000]

Explanation:

1,45,000 × 1.2 = 1,74,000.

10.  
The length of a rectangle is increased by 20% and its breadth is decreased by 10%. The area changes by:

Correct Answer: A [8% increase]

Explanation:

20 − 10 − 200/100 = +8%.

11.  
Trick SpotterWhich of these is a correct one-step way to find 62.5% of 3,200?

Correct Answer: B [3,200 ÷ 8 × 5]

Explanation:

62.5% = 5/8 → 400 × 5 = 2,000.

12.  
Of the 800 employees of an office, 35% are women. If 25% of the women and 40% of the men use the metro, how many employees use the metro?

Correct Answer: C [278]

Explanation:

Women 280 → 70; men 520 → 208; total 278.

13.  
Spot My Mistake“Price ₹ 1,600 was cut by 20% to ₹ 1,280. To return to ₹ 1,600 the shop must raise the price by 20%.” What is the correct rise?

Correct Answer: A [25%]

Explanation:

Rise = 320/1,280 × 100 = 25%; the base is now ₹ 1,280, not ₹ 1,600.

14.  
If the numerator of a fraction is increased by 20% and its denominator is decreased by 10%, the new fraction is 16/15. The original fraction is:

Correct Answer: C [4/5]

Explanation:

(1.2/0.9) × f = 16/15 → f = 16/15 × 0.9/1.2 = 4/5.

15.  
Reverse question18 is 15% of which number?

Correct Answer: B [120]

Explanation:

18 ÷ 0.15 = 120.

16.  
Match the followingMatch the fractions with percentages:
P. 1/12 Q. 3/40 R. 5/16
1. 31.25% 2. 7.5% 3. 8⅓%

Correct Answer: D [P-3, Q-2, R-1]

Explanation:

1/12 = 8⅓%, 3/40 = 7.5%, 5/16 = 31.25%.

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