Theory & Concepts

SSC CGL Percentage Questions, Tricks & Formula PDF 2026

Prepare Percentage for SSC CGL 2026 with formulas, short tricks, solved examples, practice questions, PYQs, and free PDF notes for faster exam preparation.

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Practice Notes
20 min readDifficulty: Beginner to Intermediate

Percentage is the absolute foundation of arithmetic in Ssc cgl. Whether you're solving Profit & Loss, SI & CI, or Data Interpretation, a strong grip on percentage shortcuts is non-negotiable.

Learning path

  • Fraction-to-Percentage conversion
  • Net change (AB Formula)
  • Population & Increase logic
  • 10 standard solved problems
  • Exam-day speed tricks

1. Fundamental formulas

Percentage=(PartWhole)×100\text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100

Quick Conversion Table:

1 = 100%
1/2 = 50%
1/3 = 33.33%
1/4 = 25%
1/5 = 20%
1/6 = 16.66%
1/8 = 12.5%
1/12 = 8.33%

2. 10 Solved examples

Question 01Standard Pattern

Rahul spends 50% of his monthly income on household items, 20% on buying clothes, 5% on medicines, and saves the remaining rs. 11,250. What is Rahul’s monthly income?

rs. 38,200
rs. 34,000
rs. 41,600
rs. 45,000
Correct answer: a) rs. 45,000

Detailed solution

Let total units = \( 100 \).
Total expenditure = \( 50 + 20 + 5 = 75 \text{ units} \).
Remaining savings = \( 100 - 75 = 25 \text{ units} \).
Given: \( 25 \text{ units} = rs. 11,250 \).
1 unit = \( 11250 / 25 = 450 \).
Total income = \( 100 \times 450 = rs. 45,000 \).
Question 02Standard Pattern

A student scored 32% marks in science subjects out of 300. How much should he score in language papers out of 200 if he is to get overall 46% marks?

72%
67%
66%
60%
Correct answer: a) 67%

Detailed solution

Total marks possible = \( 300 + 200 = 500 \).
Target score = \( 46\% \text{ of } 500 = 230 \).
Already scored in Science = \( 32\% \text{ of } 300 = 96 \).
Remaining marks needed = \( 230 - 96 = 134 \).
Required percentage in language = \( \frac{134}{200} \times 100 = 67\% \).
Question 03Standard Pattern

The ratio of the number of boys to girls in a school is 4 : 1. If 75% of boys and 70% of girls are scholarship holders, find the percent who do NOT get scholarship.

50%
28%
25%
26%
Correct answer: a) 26%

Detailed solution

Assume total students = 500 (Boys = 400, Girls = 100).
Non-scholarship boys = \( 25\% \text{ of } 400 = 100 \).
Non-scholarship girls = \( 30\% \text{ of } 100 = 30 \).
Total non-scholarship = \( 130 \).
Percentage = \( \frac{130}{500} \times 100 = 26\% \).
Question 04Standard Pattern

A number is increased by 20% and then again by 20%. By what percent should the result be reduced to get back the original number?

30(5/9)%
44%
33.33%
25%
Correct answer: a) 30(5/9)%

Detailed solution

Let original number be \( 100 \).
Step 1: Increase by 20% \( \implies 120 \).
Step 2: Increase by 20% again \( \implies 120 + 24 = 144 \).
Difference to original = \( 144 - 100 = 44 \).
Percent reduction needed = \( \frac{44}{144} \times 100 = 30\frac{5}{9}\% \).
Question 05Standard Pattern

Two students appeared for examination. One secured 24 marks more than other and his marks were 65% of the sum of their marks. What are their marks?

52 & 28
78 & 54
48 & 24
60 & 36
Correct answer: a) 52 & 28

Detailed solution

Let higher marks be \( x \). Lower marks = \( x - 24 \).
Equation: \( x = 0.65 \times (x + x - 24) \).
\( x = 0.65 \times (2x - 24) \implies x = 1.3x - 15.6 \).
\( 0.3x = 15.6 \implies x = 52 \).
Ages: \( 52 \) and \( 28 \).
Question 06Standard Pattern

What is 15% of 34% of 2000?

102
110
98
105
Correct answer: a) 102

Detailed solution

Calculation: \( \frac{15}{100} \times \frac{34}{100} \times 2000 \).
\( 0.15 \times 34 \times 20 = 0.15 \times 680 = 102 \).
Question 07Standard Pattern

In an election, a candidate got 40% of the total votes and lost to his rival by 280 votes. Find the total number of votes polled.

1400
1200
1500
1000
Correct answer: a) 1400

Detailed solution

Candidate A = \( 40\% \). Candidate B = \( 60\% \).
Difference = \( 20\% \).
Given: \( 20\% \text{ of Total} = 280 \).
Total = \( 280 \times 5 = 1400 \).
Question 08Standard Pattern

Price of sugar is increased by 20%. By what percent householder reduce consumption to not increase expense?

16(2/3)%
20%
25%
15%
Correct answer: a) 16(2/3)%

Detailed solution

Formula: \( \frac{r}{100+r} \times 100 \).
\( \frac{20}{120} \times 100 = \frac{1}{6} \times 100 = 16\frac{2}{3}\% \).
Question 09Standard Pattern

A number is increased by 10% and then decreased by 10%. Find net change.

1% decrease
No change
1% increase
2% decrease
Correct answer: a) 1% decrease

Detailed solution

Successive %: \( 10 - 10 - (10 \times 10)/100 = -1\% \).
Question 010Standard Pattern

If 15% of A = 20% of B, then A : B is:

4 : 3
3 : 4
5 : 4
2 : 1
Correct answer: a) 4 : 3

Detailed solution

\( 0.15A = 0.20B \implies A/B = 20/15 = 4/3 \).