Practice Questions
Concept Explanation
Percentage-based DI asks you to find shares, growth rates, or comparisons expressed as percentages from tables or charts.
Key Formulas
- Share % = (part ÷ whole) × 100.
- % increase = (increase ÷ original) × 100.
- % decrease = (decrease ÷ original) × 100.
- Successive change: net factor = (1 ± p/100) for each step.
Example
Sales rose from 400 to 500. % increase = (100/400) × 100 = 25%.
Common Trap
Percentage point difference is not the same as percentage change.
-
Q1 Easy
Dept A = 120, total all depts = 600. A’s share is:
Explanation(120/600) × 100 = 20%. -
Q2 Medium
Production rose from 250 to 300 units. Percentage increase is:
Explanation(50/250) × 100 = 20%. -
Q3 Medium
Revenue fell from Rs. 800 lakh to Rs. 640 lakh. Percentage decrease is:
Explanation(160/800) × 100 = 20%. -
Q4 Easy
Out of 500 students, 125 opted for Maths. Percentage is:
Explanation(125/500) × 100 = 25%. -
Q5 Easy
Category X is 30% of total 900. Value of X is:
Explanation0.30 × 900 = 270. -
Q6 Medium
2019 = 400, 2020 = 480. Percentage growth is:
Explanation(80/400) × 100 = 20%. -
Q7 Medium
Two parts are 35% and 45% of 1000. Their combined value is:
Explanation(35% + 45%) of 1000 = 80% of 1000 = 800.
-
Q8 Easy
A value is 15% of 2400. The value is:
Explanation0.15 × 2400 = 360. -
Q9 Easy
Exports grew 10% from 500 to a new value. New exports are:
Explanation500 × 1.10 = 550. -
Q10 Medium
Share A = 22%, Share B = 28% of total 1500. B exceeds A by:
ExplanationB = 420, A = 330. Difference = 90. -
Q11 Medium
Population 8000; 12.5% are children. Number of children is:
Explanation0.125 × 8000 = 1000. -
Q12 Hard
Price Rs. 600 after 20% discount was marked up from list price. If 600 is the discounted price, list price was:
Explanation600 = 80% of list ⇒ list = 600/0.8 = 750. -
Q13 Hard
Successive increases of 10% and 20% on 100 give final value:
Explanation100 × 1.1 × 1.2 = 132. -
Q14 Easy
Region P = 18%, Q = 27% of total. Q exceeds P by how many percentage points?
Explanation27% − 18% = 9 percentage points.
-
DS1 Easy
What is the percentage share of 120 in total 600?
Statement IPart = 120.
Statement IITotal = 600.
ExplanationNeed both: (120/600) × 100 = 20%. -
DS2 Medium
What is the percentage increase from 250 to 300?
Statement IOriginal = 250.
Statement IINew value = 300.
ExplanationNeed both values: (50/250) × 100 = 20%.
-
DS3 Easy
What is 30% of 900?
Statement ITotal = 900.
Statement IIThe part is 30% of the total.
ExplanationEach alone gives 270. -
DS4 Hard
What is the final value after 10% then 20% increase on 100?
Statement IFirst increase is 10% on 100.
Statement IISecond increase is 20% on the new value.
ExplanationNeed both steps: 100 × 1.1 × 1.2 = 132.