The worked question on this page is original educational practice. It is not represented as a question from an official previous-year examination paper.
01 / UNDERSTANDING
Review the question
Create a new two-branch caselet with unequal totals and verify both a weighted percentage and a residual count by independent arithmetic. Swap branch sizes while retaining rates to test weighted-average understanding. An original checkpoint is: What percentage of all 200 applications is complete? Supported answer: 77%. Explain the decisive fact, then alter one condition and solve again. This is an original practice method, not a claim that the question appeared in an official past paper.
02 / UNDERSTANDING
The concept in context
A percentage is incomplete without its denominator. Shares of a branch total and shares of the overall total cannot be substituted merely because both mention the same branch. A useful study check is to draw a table with clearly named rows, columns and totals, then reconcile all subtotals with the narrative before answering comparisons. Explain why the method fits.
03 / UNDERSTANDING
A worked learning case
Two branches process 200 applications altogether. North handles 120, of which one quarter are incomplete. South handles the remaining 80, of which one fifth are incomplete. The reconstructed table contains 30 and 16 incomplete applications, leaving 90 and 64 complete applications. The combined complete count is 154, not the average of the two branch percentages.
ORIGINAL EDUCATIONAL PRACTICE
Try it before you check.
What percentage of all 200 applications is complete?
Show the answer and reasoning
77%.
North contributes 120 minus 30, or 90 complete applications. South contributes 80 minus 16, or 64. Their total is 154, so the combined percentage is 154 divided by 200 times 100, equal to 77%. A simple mean of the branch percentages would ignore their unequal sizes.
Two traps to watch for.
- Averaging branch percentages when the underlying branch counts differ.
- Using a residual total before accounting for every stated category.
YOUR TOPIC-SPECIFIC LEARNING MAP
Learn from the attempt
Draw a table with clearly named rows, columns and totals.
Annotate each percentage with its exact base before multiplying.
Reconcile all subtotals with the narrative before answering comparisons.
Explain the idea, apply it to a new situation, then check what changed in your reasoning.
BANKERS TUTORIAL · SOURCE NOTES
Keep the source alongside your notes.
Official links provide subject context and authoritative reference material. This guide’s explanation, scenario and question are original Bankers Tutorial learning content.
- www.ibps.in https://www.ibps.in/wp-content/uploads/Detailed-Notification_CRP-PO-XIV_7.8.24.pdf
For IBPS & RRB preparation, check the current official notice before relying on changing dates, rules or examination requirements.
