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 EasyRegion P = 18%, Q = 27% of total. Q exceeds P by how many percentage points?Explanation27% − 18% = 9 percentage points. Hence the answer is 9.
-
Q2 EasyExports grew 10% from 500 to a new value. New exports are:Explanation500 × 1.10 = 550. Hence the answer is 550.
-
Q3 EasyDept A = 120, total all depts = 600. A’s share is:Explanation(120/600) × 100 = 20%. Hence the answer is 20%.
-
Q4 EasyOut of 500 students, 125 opted for Maths. Percentage is:Explanation(125/500) × 100 = 25%. Hence the answer is 25%.
-
Q5 EasyCategory X is 30% of total 900. Value of X is:Explanation0.30 × 900 = 270. Hence the answer is 270.
-
Q6 EasyA value is 15% of 2400. The value is:Explanation0.15 × 2400 = 360. Hence the answer is 360.
-
Q7 MediumShare A = 22%, Share B = 28% of total 1500. B exceeds A by:ExplanationB = 420, A = 330. Difference = 90. Hence the answer is 90.
-
Q8 MediumPopulation 8000; 12.5% are children. Number of children is:Explanation0.125 × 8000 = 1000. Hence the answer is 1000.
-
Q9 MediumRevenue fell from Rs. 800 lakh to Rs. 640 lakh. Percentage decrease is:Explanation(160/800) × 100 = 20%. Hence the answer is 20%.
-
Q10 MediumProduction rose from 250 to 300 units. Percentage increase is:Explanation(50/250) × 100 = 20%. Hence the answer is 20%.
-
Q11 Medium2019 = 400, 2020 = 480. Percentage growth is:Explanation(80/400) × 100 = 20%. Hence the answer is 20%.
-
Q12 MediumTwo parts are 35% and 45% of 1000. Their combined value is:Explanation(35% + 45%) of 1000 = 80% of 1000 = 800. Hence the answer is 800.
-
Q13 HardPrice 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. Hence the answer is Rs. 750.
-
Q14 HardSuccessive increases of 10% and 20% on 100 give final value:Explanation100 × 1.1 × 1.2 = 132. Hence the answer is 132.
-
DS1 Easy
What is the percentage share of 120 in total 600?
Statement IPart = 120.
Statement IITotal = 600.
ExplanationNeed both: (120/600) × 100 = 20%. Answer: C. -
DS2 Easy
What is 30% of 900?
Statement ITotal = 900.
Statement IIThe part is 30% of the total.
ExplanationEach alone gives 270. Answer: D.
-
DS3 Medium
What is the percentage increase from 250 to 300?
Statement IOriginal = 250.
Statement IINew value = 300.
ExplanationNeed both values: (50/250) × 100 = 20%. Answer: C. -
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. Answer: C.