In a class of 800 students, 60% are boys. If 30% of the girls and 40% of the boys pass an exam, how many students in total pass the exam?

Step 1: Number of boys = 60% of 800 = 480. Number of girls = 800 - 480 = 320. Step 2: Boys who pass = 40% of 480 = 192. Girls who pass = 30% of 320 = 96. Step 3: Total students who pass = 192 + 96 = 288. Therefore, the answer is 288.

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IBPS PO Percentage Word Problems

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This page covers IBPS PO Percentage Word Problems with complete concept notes, 1 graded practice MCQs, key points and exam-specific tips. Free to study.

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Concept Notes

Percentage Word Problems— Rules & Concept

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Core Concept

Read this first — the foundation of the topic

→Core Concept

Percentage word problems involve finding parts of a whole, comparing quantities, or calculating increases and decreases in real scenarios like salary hikes, discounts, population growth, and election results

💡Key Rules

Always identify the base value first. The base is usually mentioned after 'of' or 'than'. When percentage increases, new value = original + increase. When percentage decreases, new value = original - decrease.

In comparison problems, identify which quantity is 100%

🔑Essential Formulas

- Percentage = (Part/Whole) × 100 - Increase% = (Increase/Original) × 100 - Decrease% = (Decrease/Original) × 100 - New value after x% increase = Original × (100+x)/100 - New value after x% decrease = Original × (100-x)/100 - If A is x% more than B, then B is [x/(100+x)] × 100% less than A

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Exam Patterns

What examiners ask — read before attempting PYQs

SSC CGL typically asks about salary changes, price variations, population problems, election results, and mixture problems. Questions often involve successive percentage changes or finding original values when final values are given. Powerful Shortcut - The 'Of-Is' Method: In any percentage problem, identify the 'OF' value (base/whole) and 'IS' value (part). Then use: Percentage = (IS/OF) × 100. This works for all percentage word problems.

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Worked Example

Solve this step-by-step before moving on

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Step 1

Let original salary = x

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Step 2

After 20% increase = x × 120/100 = 1.2x

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Step 3

After 15% decrease = 1.2x × 85/100 = 1.02x

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Step 4

Given final salary = 10,200

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Step 5

So, 1.02x = 10,200

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Step 6

x = 10,200/1.02 = 10,000 Therefore, original salary = Rs. 10,000 Another Shortcut: For successive percentage changes, if there are a% increase followed by b% decrease, net effect = [a - b - (ab/100)]%. If positive, it's increase; if negative, it's decrease. Using this shortcut: Net effect = 20 - 15 - (20×15/100) = 5 - 3 = 2% increase So final salary = original × 1.02 = 10,200 Original = 10,200/1.02 = 10,000 Common Mistake: Students often confuse the base value. Remember, percentages are always calculated on the original or given base value, not on intermediate results unless specifically mentioned.

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IBPS PO Percentage Word Problems

Percentage Word Problems— Rules & Concept

Key Points to Remember

Exam-Specific Tips

Percentage Word Problems — Practice Questions

60-Second Revision — Percentage Word Problems