If the SP of 20 articles is equal to the CP of 25 articles, wh... | Mathematics MCQ | Examoogle

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If the SP of 20 articles is equal to the CP of 25 articles, what is the profit percentage?

25%

20%

30%

15%

Correct Answer

📐 MA • Math Ratio MethodMathematicsMathematics

Option A

25%

Quick Summary:

Equate the quantities as CP/SP = 20/25 = 4/5, meaning profit is (5-4)/4 * 100 = 25%.

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📐MAMath SolutionRatio Method

📋 Given

Selling price of 20 articles equals the cost price of 25 articles

🔢 Formula Used

Profit %=SP−CPCP×100\text{Profit } \% = \frac{SP - CP}{CP} \times 100Profit %=CPSP−CP​×100

⚡ Exam Hall Shortcut / Speed Trick

Equate the quantities as CP/SP = 20/25 = 4/5, meaning profit is (5-4)/4 * 100 = 25%.

⚠️ Common Student Trap / Pitfall

Calculating the profit percentage with respect to the selling price instead of the cost price.

📊 Diagram / Illustration

🔢 Step-by-Step Solution

Set up the equation

Translate the given problem statement into a mathematical equation: $20 \times SP = 25 \times CP$ .

20×SP=25×CP20 \times SP = 25 \times CP20×SP=25×CP

Determine the price ratio

Rearrange the terms to find the ratio of selling price to cost price: $\frac{SP}{CP} = \frac{25}{20} = \frac{5}{4}$ .

SPCP=54\frac{SP}{CP} = \frac{5}{4}CPSP​=45​

Calculate profit percentage

Substitute the ratio values into the profit percentage formula: $\left(\frac{5 - 4}{4}\right) \times 100 = 25\%$ .

Profit %=5−44×100=25%\text{Profit } \% = \frac{5 - 4}{4} \times 100 = 25\%Profit %=45−4​×100=25%

✅

A is correct because the calculated profit percentage is 25%.

Core Concepts Used

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Profit and Loss Cost Price and Selling Price Ratios Percentage Calculations

💡 EXAM TIP

Mastering cross-multiplication and ratio shortcuts saves critical time in quantitative aptitude sections for railway and banking exams.

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