Why This Chapter Matters
DI is where arithmetic accuracy and time pressure collide. The job is not just to compute; it is to decide what must be computed and what can be approximated.
Core Ideas
- Read the unit, the base total, and the year labels before solving.
- If options are wide apart, approximation is usually enough.
- Tables often become faster than graphs because every value is explicit.
- Mixed graphs can usually be decomposed into one percentage step and one ratio step.
- Production-ready DI content can convert chart images into text tables without losing the actual logic of the set.
- When percentages are based on a total pool, first convert the pool into absolute values before comparing categories.
- In multi-year tables, identify whether the question needs absolute change, percentage change, ratio, or average before touching the numbers.
High-Value Formulas
| Concept | Formula / Rule |
|---|---|
| Percentage from part and total | |
| Average from grouped values | |
| Export-import ratio | |
| Net difference | |
| Weighted category value |
How To Approach Questions
- Mark the exact dataset the question needs.
- Avoid computing unrelated rows or columns.
- When totals are given in percentages, convert them one layer at a time.
- If a graph is missing, restate the usable values in text form before solving.
- If multiple questions use the same set, compute one or two reusable intermediate values once and reuse them.
Worked Examples
Example 1
Prompt: Use a table-based set when the image is not available. Rebuild only the data you need in text form.
Approach: This is the safest production approach for mobile-friendly DI content because it preserves the logic without copying source graphics.
Example 2
Prompt: A ratio chart says company A had export-import ratio in a year and imports were later increased by . What is the new export-import ratio if exports stay fixed?
Approach: Treat exports as and imports as . The increased imports become , so the new ratio is .
Example 3
Prompt: A budget pie is converted into text: salaries , rent , marketing of a total spend of lakhs. Find the salary spend.
Approach: Salary spend of lakhs.
Example 4
Prompt: A branch table shows deposits lakh and withdrawals lakh. Find the net inflow.
Approach: Net inflow lakh.
Common Mistakes
- Missing the unit scale such as hundreds, thousands, or crores.
- Doing exact arithmetic when option gaps allow approximation.
- Reading the wrong row because the chart labels were skimmed.
- Mixing enrolled counts with passed counts from different parts of the same set.
- Using a category percentage directly without checking whether it is of the total, of a subgroup, or of the previous year.
Quick Revision
Good DI performance is a mix of selective reading, fast percentage logic, and disciplined approximation.