Q1
Not Answered
NATIVE
Q1. What is 20% of 340?
20% of 340 = (20/100) x 340 = 68.
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General Aptitude
Percentages
Practice percentage shortcut questions for profit/loss, discounts, and exam-speed calculations.
About Percentages
Percentages are one of the most frequently tested topics in placement aptitude rounds, competitive exams, and banking tests. A percentage represents a number as a fraction of 100 — denoted by the % symbol. The core skill tested is the ability to quickly convert between percentages, fractions, and decimals. Common question types include: finding a percentage of a given number, calculating percentage increase or decrease, reverse percentage problems (finding the original value after a change), and discount/markup problems involving marked price and selling price. Mastering percentage shortcuts — like knowing that 25% equals one-fourth, 50% equals half, and 10% equals one-tenth — can save valuable time in timed tests. Below are 15 solved percentage questions with detailed explanations to help you build speed and accuracy.
Key Takeaways
- Convert percentages to fractions for faster mental math: 25% = 1/4, 20% = 1/5, 10% = 1/10.
- For increase: multiply by (100 + p)/100. For decrease: multiply by (100 - p)/100.
- To find original after a change: divide the final value by (100 ± p)/100.
- Discount is always calculated on Marked Price, not Cost Price.
- Successive percentage change uses the formula: Net% = a + b + ab/100.
Frequently Asked Questions
What is the formula for percentage?
Percentage = (Value ÷ Total) × 100. For example, to find what percentage 30 is of 150: (30 ÷ 150) × 100 = 20%.
How do I calculate percentage increase?
Percentage increase = (New Value - Original Value) ÷ Original Value × 100. If a product increases from Rs. 200 to Rs. 250: Increase = 50, Percentage increase = (50 ÷ 200) × 100 = 25%.
How do I calculate percentage decrease?
Percentage decrease = (Original Value - New Value) ÷ Original Value × 100. For example, if a price drops from Rs. 500 to Rs. 400: Decrease = 100, Percentage decrease = (100 ÷ 500) × 100 = 20%.
What is the shortcut for 10%, 25%, and 50%?
10% = divide by 10. 25% = divide by 4 (one-fourth). 50% = divide by 2 (half). 20% = divide by 5. Use these fraction equivalents instead of always calculating (X ÷ 100) to save time.
How do I find the original amount after a percentage change?
If final value = Original × (100 ± p) ÷ 100, then Original = Final × 100 ÷ (100 ± p). For example, if Rs. 880 is the price after a 10% increase: Original = 880 × 100 ÷ 110 = Rs. 800.
What is successive percentage change?
When two percentage changes happen one after another, use: Net change = a + b + (a × b) ÷ 100. For increases of 10% followed by 20%: Net = 10 + 20 + (10 × 20) ÷ 100 = 32% increase. For decreases, use negative values.
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Q2
Not Answered
NATIVE
Q2. A quantity 180 is increased by 5%. What is the new value?
New value = 180 x (100+5)/100 = 189.
Q3
Not Answered
NATIVE
Q3. After a discount of 30%, the value changes from 800 to what?
Reduced value = 800 x (100-30)/100 = 560.
Q4
Not Answered
NATIVE
Q4. A quantity 540 is increased by 20%. What is the new value?
New value = 540 x (100+20)/100 = 648.
Q5
Not Answered
NATIVE
Q5. What is 50% of 940?
50% of 940 = (50/100) x 940 = 470.
Q6
Not Answered
NATIVE
Q6. A quantity 880 is increased by 30%. What is the new value?
New value = 880 x (100+30)/100 = 1144.
Q7
Not Answered
NATIVE
Q7. What is 25% of 540?
25% of 540 = (25/100) x 540 = 135.
Q8
Not Answered
NATIVE
Q8. After a discount of 20%, the value changes from 460 to what?
Reduced value = 460 x (100-20)/100 = 368.
Q9
Not Answered
NATIVE
Q9. A quantity 540 is increased by 5%. What is the new value?
New value = 540 x (100+5)/100 = 567.
Q10
Not Answered
NATIVE
Q10. After a discount of 5%, the value changes from 480 to what?
Reduced value = 480 x (100-5)/100 = 456.
Q11
Not Answered
NATIVE
Q11. A quantity 880 is increased by 25%. What is the new value?
New value = 880 x (100+25)/100 = 1100.
Q12
Not Answered
NATIVE
Q12. What is 50% of 740?
50% of 740 = (50/100) x 740 = 370.
Q13
Not Answered
NATIVE
Q13. A quantity 880 is increased by 5%. What is the new value?
New value = 880 x (100+5)/100 = 924.
Q14
Not Answered
NATIVE
Q14. After a discount of 20%, the value changes from 260 to what?
Reduced value = 260 x (100-20)/100 = 208.
Q15
Not Answered
NATIVE
Q15. A quantity 400 is increased by 15%. What is the new value?
New value = 400 x (100+15)/100 = 460.
Q16
Not Answered
NATIVE
Q16. After a discount of 30%, the value changes from 940 to what?
Reduced value = 940 x (100-30)/100 = 658.
Q17
Not Answered
NATIVE
Q17. A quantity 800 is increased by 25%. What is the new value?
New value = 800 x (100+25)/100 = 1000.
Q18
Not Answered
NATIVE
Q18. After a discount of 30%, the value changes from 680 to what?
Reduced value = 680 x (100-30)/100 = 476.
Q19
Not Answered
NATIVE
Q19. A quantity 440 is increased by 25%. What is the new value?
New value = 440 x (100+25)/100 = 550.
Q20
Not Answered
NATIVE
Q20. After a discount of 20%, the value changes from 860 to what?
Reduced value = 860 x (100-20)/100 = 688.
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Percentages Formula, shortcuts & preparation guide
Master percentages with regular practice. Key topics include percentage calculations, profit/loss, ratio, and time-work problems. Use shortcut methods for quick calculations and practice 15-20 questions daily to build speed and accuracy. This topic frequently appears in placement aptitude rounds.
Key formulas
- Percent = (Value / Total) × 100
- New Value = Value × (100 ± Percent) / 100
- Discount = Marked Price - Selling Price
Percentages Practice Questions with Answers
Build speed and accuracy with curated percentages practice. Each quiz includes solved explanations, timed mode, and instant correctness feedback.
How to prepare effectively for this topic?
Practice short timed sets daily, review every explanation, and track recurring mistakes for weekly revision.
Are these questions useful for placements and competitive exams?
Yes. The format mirrors common screening rounds with option-based answers and explanation-driven learning.