Percentages and ratios form the base for solving questions from many topics (data interpretation, age problems, simplification, etc.) and hence it becomes an important topic for quantitative section of any exam whether it is SSC, RRB or Banking. The questions based on these topics are usually easy and thus the speed of solving a question is based on how quickly you can solve these questions. In today’s blog we will be discussing on how to solve percentage questions quickly.
How to solve percentage questions quickly?
Percentage is a number or ratio expressed as a fraction of 100. While solving problems, converting the percentages into fractions will save a lot of calculation and hence reduce the time required for solving. The table below depicts some percentages to fractions conversion:
Apart from the above table, the following points are also important.
| Topic | Formula | Key Point |
| Successive Increase/Decrease (Two Changes) | Effective change = x + y + (x×y)/100 | Increase is taken as +ve and decrease as –ve |
| Successive Increase/Decrease (Three Changes) | Effective change = {[(100+x)/100 × (100+y)/100 × (100+z)/100] – 1} × 100% | Used for multiple profit, loss, discount, or depreciation changes |
| Constant Amount in Mixture | Quantity of New Mixture × New % = Quantity of Old Mixture × Old % | Useful in alcohol-water and milk-water mixture problems |
| Increase/Decrease in Consumption | Change in consumption = |r| / (100 + r) × 100 | Used when expenditure remains constant despite price change |
Important Percentage Questions PDF
Struggling with Percentage questions in SSC, Bank or Railways exams? You are not alone as it is one of the most commonly tested and often misunderstood topics in the Quantitative Aptitude section. That is exactly why we have created this FREE e-book with important Percentage questions, carefully selected based on the latest SSC exam trends.
Practice Percentage Questions Live
Percentage is an important topic in competitive exams. Below are some questions to help you practice live and improve your score.
1. A is 150% of B and B is 40% of C. If A + B + C = 20, then the value of 2B + 3C – 4A is:
2. The population of a town increased by 15% in 2018 and 10% in 2019. Due to a pandemic, it decreased by 10% in 2020. What was the percentage increase in the population of the town in 3 years?
3. One-third of 1206 is what percent of 134?
4. In an examination, 80% of candidates passed in English and 85% in Mathematics. If 73% passed in both, then what percent failed in both?
5. The population of a town increases every year by 4%. If its present population is 50,000, then after 2 years it will be:
6. Mr Ajay spends 50% of his monthly income on household items and out of the remaining, he spends 25% on travelling, 30% on entertainment, 15% on shopping and saves Rs. 900. What is his monthly income?
7. In a class of 60 students and 5 teachers, each student got sweets equal to 20% of total students and each teacher got sweets equal to 30% of total students. Total sweets were:
8. In a school, 40% students play football and 50% play cricket. If 18% play neither, then the percentage playing both is:
9. In a garden, 60% trees are coconut, 25% of coconut trees are mango, and 20% of mango trees are apple. If apple trees are 1500, total trees are:
10. The number that is to be added to 10% of 320 to make the sum equal to 30% of 230 is:
11. In an examination, A got 25% more marks than B, B got 10% less than C, and C got 25% more than D. If D got 320 marks, then A got:
12. If 30% of A is added to 40% of B, the answer is 80% of B. What percentage of A is B?
13. A number is divided into two parts such that 80% of first part is 3 more than 60% of second part and 80% of second part is 6 more than 90% of first part. The number is:
14. If 80% of A = 50% of B and B = X% of A, then X =:
15. On a test of 250 questions, Johnny answered 40% of first 125 correctly. What percent of remaining 125 must she answer correctly to score 60% overall?
16. In a school of 100 students, 60% are boys, 40% of boys play hockey, girls don’t play hockey, and 75% girls play badminton. Number of students who play no game is:
17. If 125% of x is 100, then x is:
18. A candidate scoring 30% fails by 5 marks, while another scoring 40% gets 10 marks more than pass marks. Minimum pass marks are:
19. 65% of a number is more than its 25% by 160. What is 20% of that number?
20. If the radius of a cone is decreased by 50% and height increased by 50%, then volume decreases by:
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FAQs
Use the following formula : Effective increase or decrease = {(100 + x)/100 * (100+y)/100 – 1} * 100% = x + y + (x*y)/100. Check blog for detailed explanation.
Use the formula : Quantity of new mixture * New % = Quantity of old mixture * Old %. For detailed explanation, read the blog above.
Check the blog above for important shortcut formulas for percentages
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