What Percentage Questions Test
- Fraction–percentage conversions both ways
- Percentage increase and decrease on a base value
- Successive percentage change (a% then b%)
- Finding the original value after a known change
- Population, income and marks-based word problems
Question bank coverage by sub-pattern
How Percentage Appears in SSC CGL
Percentage is part of the Quantitative Aptitude section (25% of the SSC CGL syllabus). See the full SSC CGL Tier-I breakdown.
Percentage Solved Examples for SSC CGL
12 exam-pattern percentage questions from the practice bank, each with a full solution.
The population of a city was 200000 three years ago. If it increased by 5% every year, what is the present population?
- A.231525Correct
- B.230000
- C.231000
- D.232000
Solution
Population after 3 years = 200000 x (1 + 5/100)^3 = 200000 x (21/20)^3. = 200000 x (9261/8000) = 200000 x 1.157625 = 231525.
If the salary of Ramesh is 20% more than that of Suresh, then the salary of Suresh is what percent less than that of Ramesh?
- A.16.67%Correct
- B.20%
- C.18%
- D.15%
Solution
Let Suresh's salary = Rs 100. Then Ramesh's salary = Rs 120. Difference = 120 - 100 = 20. Percentage less = (20/120) x 100 = 16.67%. Shortcut: If A is x% more than B, then B is (x/(100+x)) x 100% less than A = (20/120) x 100 = 16.67%.
Some students (only boys and girls) from different schools appeared for an Olympiad exam. 20% of the boys and 15% of the girls failed the exam. The number of boys who passed the exam was 70 more than that of the girls who passed the exam. A total of 90 students failed. Find the number of students that appeared for the exam.
- A.420
- B.400Correct
- C.500
- D.350
Solution
Let b be the number of boys and g be the number of girls. 0.2b + 0.15g = 90. 0.8b = 0.85g + 70. Solving these equations, we get b = 200 and g = 200. Total students = 200 + 200 = 400.
A laptop is sold for `54,000 after giving a discount of 20%. What is the list price (in `) of the laptop?
- A.69500
- B.67500Correct
- C.70000
- D.64800
Solution
Let the list price be x. Then 0.8x = 54000. Solving for x gives x = 67500.
An item costs `400. During a festival sale, a company offers a sale discount that offers x% off on its regular price along with a discount coupon of 10%. The price of the item after using both the sale discount and the discount coupon, is ` 216. What is the value of x?
- A.25
- B.40Correct
- C.30
- D.35
Solution
400 * (1 - x/100) * 0.9 = 216. Solving for x, x = 40.
In an election between two candidates, y% of the voters did not vote. 10% of the votes cast were declared invalid, while all the valid votes were cast in favour of either of the two candidates. The candidate who got 59.375% of the valid votes cast was declared elected by 2484 votes. If the number of people eligible to vote in that election was 16, 000, what is the value of y?
- A.8Correct
- B.8.4
- C.7.5
- D.7.2
Solution
Let y% be the percentage of voters who did not vote. Valid votes = 0.9(100-y)% of 16000. Difference in votes = 2484 = (2*0.59375 - 1)*0.9(100-y)*16000/100. Solving gives y = 8.
If the difference between 62 % and 80 % of a number is 198, then the difference between 92 % and 56 % of the number will be:
- A.1100
- B.3564
- C.396Correct
- D.360
Solution
18% of x = 198 => x = 1100. 92% - 56% = 36%. 36% of 1100 = 396.
Raju's income is 20% more than his expenditure. If his income increases by 60% and his expenditure increase by 70%, then what percentage of the savings will increase / decrease?
- A.will decrease 2%
- B.will decrease 10%Correct
- C.will increase 10%
- D.will increase 2%
Solution
Let expenditure be 100, income is 120, saving is 20. New income is 192, new expenditure is 170, new saving is 22. Percentage increase = (2/20)*100 = 10%.
If 25% of a number is 1000, what is 60% of the same number?
- A.2450
- B.2385
- C.2400Correct
- D.2425
Solution
Let the number be N. (25/100) × N = 1000 => N = (1000 × 100) / 25 = 4000. Therefore, 60% of 4000 = (60/100) × 4000 = 2400.
If the price of rice increases by 25%, by what percentage should a household reduce its consumption so that total expenditure remains unchanged? (Case 94)
- A.16.67%
- B.30%
- C.25%
- D.20%Correct
Solution
Reduction in consumption = [R / (100 + R)] × 100 = [25 / (100 + 25)] × 100 = (25 / 125) × 100 = 20%.
Vikas spends 40% of his monthly income on food, 25% on house rent, and 15% on children's education. If he saves ₹13,600 per month, find his total monthly income.
- A.₹66,000
- B.₹72,000
- C.₹70,000
- D.₹68,000Correct
Solution
Total expenditure percentage = 40% + 25% + 15% = 80%. Savings percentage = 100% - 80% = 20%. Since 20% of Income = ₹13,600, Monthly Income = (13,600 × 100) / 20 = ₹68,000.
Swati spends 35% of his monthly income on food, 20% on house rent, and 15% on children's education. If he saves ₹85,200 per month, find his total monthly income.
- A.₹286,000
- B.₹282,000
- C.₹288,000
- D.₹284,000Correct
Solution
Total expenditure percentage = 35% + 20% + 15% = 70%. Savings percentage = 100% - 70% = 30%. Since 30% of Income = ₹85,200, Monthly Income = (85,200 × 100) / 30 = ₹284,000.
Percentage — Frequently Asked Questions
Why do toppers prioritise percentage practice?
Because the concept repeats inside profit & loss, interest and data interpretation questions — mastering it once raises your speed across a third of the quant section.
What should I memorise for percentage questions?
The fraction equivalents of common percentages (1/8 = 12.5%, 1/6 = 16.67%, 1/12 = 8.33%). Converting to fractions turns most exam-pattern percentage questions into one-line calculations.
How many Percentage practice questions does Parikshala have for SSC CGL?
20 exam-pattern Percentage questions for SSC CGL Quantitative Aptitude, each with a step-by-step solution. Practice is free — no sign-up needed to start.