When you tackle the Mathematics section in the RRB NTPC CBT 1 or CBT 2 exam, you’re looking for topics that guarantee quick, easy marks. The syllabus is vast, so covering the most important topics can help you gain marks easily. Keeping this in mind, we are providing exam-level percentage questions for RRB NTPC exam. Percentage is the absolute foundation of all commercial math. You can expect at least 2 to 3 direct, simple questions on percentages. Also, if you master percentages, you automatically become better at Profit & Loss, Simple Interest, Compound Interest, and Data Interpretation (DI). RRB asks questions from this topic to check your basic calculation skills. If you know the formula and the common fractional conversions, you can easily score good marks in this topic. Let’s start with a free percentage test. The link is given below.
Concept of Percentage for RRB NTPC
Percentage literally means “out of every hundred.” It’s a way to express a number as a fraction of 100.
The Symbol: %
The Core Idea: Any value can be shown compared to a total of 100.
Example: If you score 80 marks out of 100, your score is 80%. If you score 40 marks out of 50, your score is still 80% (40/50 x 100).
Key Formulas You Must Master
Success in Percentage relies on quick mental math and knowing these basic rules:
| Rule Category | What You Need to Know | Example |
| Basic Conversion | How to change a fraction to a percentage. | 3/4 = 3/4 x 100 = 75% |
| Percentage Increase | Finding the amount when a value goes up. | Increase = [(New Value – Old Value) x 100]/ (Old Value) |
| Percentage Decrease | Finding the amount when a value goes down. | Decrease = [(Old Value – New Value) x 100]/ (Old Value) |
| Successive Change | When a price changes twice (e.g., first up by 10%, then down by 10%). | Overall Change = A + B + (A x B)/ 100 |
Key Scoring Patterns You Must Master (Fractions)
The biggest time-saver in percentages is knowing the decimal and fraction equivalents. This lets you skip using the calculator!
| Percentage | Fraction | Decimal | Why it’s Important |
|---|---|---|---|
| 50% | 1/2 | 0.5 | Used everywhere! Half the price. |
| 25% | 1/4 | 0.25 | Used often in discounts. |
| 20% | 1/5 | 0.2 | Great for Profit & Loss calculations. |
| 10% | 1/10 | 0.1 | Easy to calculate (just move the decimal point once). |
| 16⅔% | 1/6 | 0.166 | Common in Time & Work/Interest problems. |
| 12.5% | 1/8 | 0.125 | Very common in Profit/ Discount questions. |
Percentage Questions for RRB NTPC PDF, Download for Free
The questions asked by RRB in the Mathematics section are typically direct formula-based or involve basic word problems on salary, income, or population. They require quick calculation and accurate formula application. They are the perfect type of question that can save you time for other sections. To help you master these quick facts, we have provided a PDF that consists of the most important and frequently asked Percentage questions for the exam. Click on the button given below to download the Percentage Questions for RRB NTPC PDF for free.
Q1. 60 percent of the employees of a company are women and 75% of the women earn 20000 or more in a month. Total number of employees who earn more than 20000 per month in the company is 60 percent of the total employees. What fraction of men earns less than 20000 per month?
Options:
(a) 5/8
(b) 5/4
(c) 3/8
(d) 7/18
Correct Answer: (a)
Solution:
Let total employees = 100
Women = 60
Men = 40
Employees earning above 20000 = 100 × 60/100 = 60
Women earning above 20000 = 60 × 75/100 = 45
Men earning above 20000 = 60 – 45 = 15
Men earning less than 20000 = 40 – 15 = 25
Required fraction = 25/40 = 5/8
Q2. Rahul spends 50% of his monthly income on household items, 20% on clothes, 5% on medicines and the remaining amount of Rs. 11,250 he saves. What is Rahul’s monthly income?
Options:
(a) Rs. 38,200
(b) Rs. 34,000
(c) Rs. 41,600
(d) Rs. 45,000
Correct Answer: (d)
Solution:
Let income = 100 units
Remaining = 100 – 50 – 20 – 5 = 25 units
25 units → 11250
1 unit → 450
Income = 450 × 100 = Rs. 45,000
Q3. The marked price of a laptop is Rs. 48,750. If the shopkeeper gives two successive discounts of 10% and x% and sells it at Rs. 40,365, find x.
Options:
(a) 5%
(b) 8%
(c) 10%
(d) 9%
Correct Answer: (b)
Solution:
Price after 1st discount = 48750 × 90/100 = 43875
x% discount:
x= (43875-40365)x 100/43875 = 8%
Q4. Anish spent 20% of his money on a phone, then 15% of the remaining on a laptop, and donated Rs. 160. If he is left with Rs. 1,200, how much did he spend on the laptop?
Options:
(a) Rs. 220
(b) Rs. 240
(c) Rs. 320
(d) Rs. 350
Correct Answer: (b)
Solution:
Let total = 100 units
Remaining after phone = 80
Remaining after laptop = 80 × 85/100 = 68 units
Given 68 units = 1360 (1200 + 160)
1 unit = 20
Total money = 100 units = Rs. 2000
Laptop cost = 2000 × (80/100) × (15/100) = Rs. 240
Q5. Akshara decided to donate 15% of her salary. She finally donated Rs 2896, which was 90% of what she planned. What is her salary (approx)?
Options:
(a) Rs. 19,500
(b) Rs. 17,250
(c) Rs. 21,450
(d) Can’t be determined
Correct Answer: (c)
Solution:
x × 15/100 × 90/100 = 2896
x ≈ Rs. 21,450
Q6. A student scored 32% in science out of 300. How much must he score in language (out of 200) to get 46% overall?
Options:
(a) 72%
(b) 67%
(c) 66%
(d) 60%
Correct Answer: (b)
Solution:
Total marks = 500
Required = 46% = 230
Science marks = 32% of 300 = 96
Needed = 230 – 96 = 134
Required % in language = 134/200 × 100 = 67%
Q7. In a village, 60% families have a cow, 30% have a buffalo, and 15% have both. Total families = 96. How many have neither?
Options:
(a) 20
(b) 24
(c) 26
(d) 28
Correct Answer: (b)
Solution:
Families with at least one = 60% + 30% – 15% = 75%
Families with none = 25% of 96 = 24
Q8. Ratio of boys to girls is 4:1. 75% boys and 70% girls have scholarship. What percentage of students do NOT get scholarship?
Options:
(a) 50%
(b) 28%
(c) 75%
(d) 26%
Correct Answer: (d)
Solution:
Total = 500 (ratio 4:1 → 400 boys, 100 girls)
Non-scholarship boys = 25% of 400 = 100
Non-scholarship girls = 30% of 100 = 30
Total = 130
Percentage = 130/500 × 100 = 26%
Q9. A number is increased by 20% twice. By what percent should it be reduced to get the original number?
Options:
(a) 19(11/31)%
(b) 30(5/9)%
(c) 40%
(d) 44%
Correct Answer: (b)
Solution:
Let number = 100
After increases: 100 × 1.2 × 1.2 = 144
Increase = 44
Required reduction = 44/144 × 100 = 30(5/9)%
Q10. Balu scored 45% and failed by 18 marks. Radhika scored 54% and got 27 marks more than passing marks. What did Mohan score if he secured 75%?
Options:
(a) 450
(b) 375
(c) 670
(d) 342
Correct Answer: (b)
Solution:
45% of x + 18 = 54% of x – 27
9% of x = 45
x = 500
Mohan’s marks = 500 × 75/100 = 375
Preparation Tips for RRB NTPC Percentage Questions
A percentage is an absolute score-maker if you follow a dedicated strategy. These tips will help you maximize your problem-solving skills:
- Memorize the Fraction Chart: Carry the fraction-percentage chart with you and revise it daily. If you see 12.5%, immediately think 1/8. This cuts calculation time drastically.
- Use the 100 Method: When solving word problems (like income or population), always assume the original total is 100. This makes the calculation of percentages easy.
- Practice Successive Change: Master the formula A + B + (A x B)/ 100. This is important for solving problems where a value is increased twice, or increased and then decreased.
- Connect the Topics: Practice Percentage questions side-by-side with Profit & Loss and Simple Interest. The skills are identical, and this combined practice makes you faster overall.
- Solve High Volume: Speed comes from repetition. Solve a dedicated set of 25 questions daily using our free topic tests to solidify your application skills.
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FAQs: Percentage Questions for RRB NTPC
You can generally expect 2 to 3 direct, fundamental questions from Percentage in the Numerical Ability section.
Percentage is important because its concepts are directly used in Profit & Loss, SI/CI, Averages, and Data Interpretation, meaning it influences up to half of the math section.
The best way is to memorize the fraction-percentage chart (e.g., 1/3 = 33.33%) and use the Successive Change formula whenever applicable.
You can download the free PDF containing solved and practice-based Percentage questions directly from the link provided in this blog.
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