Percentage Change in Table DI with Formula Examples
Percentage Change in Table DI involves comparing two values from a data table using the original value as the base. This page explains the percentage change formula, increase and decrease cases, reverse percentage calculations, comparison of totals and quick methods through clear numerical examples.
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What Is Percentage Change in Table DI?
The basic formula is Percentage Change = [(New Value − Original Value) ÷ Original Value] × 100. A positive result indicates an increase, while a negative result indicates a decrease. For example, if production rises from 200 units to 250 units, the percentage change is [(250 − 200) ÷ 200] × 100 = 25%.
Percentage Change in Table DI Video Lessons
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Table DI: Percentage Share and Change
Learn to calculate percentage share and percentage change from tabular data, interpret comparisons, and solve related Data Interpretation questions accurately.
Percentage Change in Table DI Formula & Tricks
Important Formulas
Use the earlier or base value in the denominator.
Use this when the new value is greater than the original value.
Use the positive difference when the new value is less than the original value.
If a value increases by r%, divide the final value by 1 + r/100.
If a value decreases by r%, divide the final value by 1 − r/100.
Quick Tricks
Percentage change is not calculated by dividing by the new value. The denominator must be the original value.
Find the difference first and reduce the fraction before multiplying by 100.
When a question asks for the percentage change in total values, first add all entries for each required period and then apply the formula.
For an r% increase, divide by 1 + r/100. For an r% decrease, divide by 1 − r/100.
Percentage Change in Table DI Concepts
Percentage Increase Between Two Table Entries
For original value O and new value N, Percentage Increase = [(N − O) ÷ O] × 100. In a table, identify the two requested entries carefully and treat the earlier or stated base value as O.
Percentage Decrease Between Two Table Entries
For original value O and reduced value R, Percentage Decrease = [(O − R) ÷ O] × 100. The result is reported as a positive percentage for a decrease.
Percentage Change in Total Values
If the total for the original period is T₁ and the total for the new period is T₂, Percentage Change = [(T₂ − T₁) ÷ T₁] × 100. Calculating the percentage separately for each row and then averaging the percentages generally gives an incorrect result.
Comparing Percentage Changes with Different Bases
The percentage depends on the base value. A change of 20 from 40 to 60 is 50%, whereas a change of 20 from 100 to 120 is 20%. Always retain the original value for each comparison.
Reverse Percentage in Table DI
After an r% increase, Final = Original × (1 + r/100), so Original = Final ÷ (1 + r/100). After an r% decrease, Final = Original × (1 − r/100), so Original = Final ÷ (1 − r/100).
Percentage Change in Table DI Data Table
Use the structured data below while following the explanation and examples.
Source Table for Percentage Change Calculations
Annual production data used to calculate percentage changes between 2022 and 2023.
| Product | Production in 2022 | Production in 2023 |
|---|---|---|
| P | 240 | 300 |
| Q | 400 | 360 |
| R | 320 | 400 |
| S | 500 | 450 |
Note: For each row, use 2022 production as the original value and 2023 production as the new value.
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Percentage Change in Table DI: Revision Points
Recall the base value, sign rules and calculation methods used in percentage change questions.
- Percentage Change = [(New Value − Original Value) ÷ Original Value] × 100.
- For an increase, use New Value − Original Value.
- For a decrease, use Original Value − New Value.
- The denominator is always the original or base value.
- For total comparisons, add the required entries before applying the formula.
- After an r% increase, Original = Final ÷ (1 + r/100).
- After an r% decrease, Original = Final ÷ (1 − r/100).
- A percentage increase and the same percentage decrease do not cancel each other because their bases differ.
Percentage Change in Table DI FAQs
What is the percentage change from 240 to 300?
The change is 60. Percentage change = 60/240 × 100 = 25% increase.
What is the percentage decrease from 400 to 360?
The decrease is 40. Percentage decrease = 40/400 × 100 = 10%.
How is percentage change calculated for the total of two years?
First find both yearly totals. Then use [(New Total − Original Total) ÷ Original Total] × 100.
If a value after a 20% increase is 480, what was the original value?
Original value = 480 ÷ 1.20 = 400.
If a value after a 20% decrease is 480, what was the original value?
Original value = 480 ÷ 0.80 = 600.
Does a 20% increase followed by a 20% decrease return the original value?
No. A value of 100 becomes 120 after a 20% increase and then 96 after a 20% decrease. The net change is a 4% decrease.