Solve: 25% of 800 + 40% of 500. | Mathematics MCQ | Examoogle

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Solve: 25% of 800 + 40% of 500.

300

400

500

450

Correct Answer

📐 MA • Math Direct CalculationMathematicsMathematical Operations

Option B

400

Quick Summary:

Convert percentages to fractions: 25% is $\frac{1}{4}$ and 40% is $\frac{2}{5}$ , making the calculation $\frac{1}{4} \times 800 + \frac{2}{5} \times 500 = 200 + 200 = 400$ .

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📐MAMath SolutionDirect Calculation

📋 Given

Expression to evaluate: 25% of 800 + 40% of 500

🔢 Formula Used

Percentage of a number=Percentage100×Number\text{Percentage of a number} = \frac{\text{Percentage}}{100} \times \text{Number}Percentage of a number=100Percentage​×Number

⚡ Exam Hall Shortcut / Speed Trick

Convert percentages to fractions: 25% is $\frac{1}{4}$ and 40% is $\frac{2}{5}$ , making the calculation $\frac{1}{4} \times 800 + \frac{2}{5} \times 500 = 200 + 200 = 400$ .

⚠️ Common Student Trap / Pitfall

Confusing the addition between the two terms or miscalculating the percentage conversion factor leading to arithmetic errors.

📊 Diagram / Illustration

🔢 Step-by-Step Solution

Evaluate the first term

Calculate 25% of 800 by converting the percentage into a fraction or decimal: $\frac{25}{100} \times 800$

25100×800=200\frac{25}{100} \times 800 = 20010025​×800=200

Evaluate the second term

Calculate 40% of 500 by converting the percentage into a fraction or decimal: $\frac{40}{100} \times 500$

40100×500=200\frac{40}{100} \times 500 = 20010040​×500=200

Add both values together

Sum the results obtained from the two percentage calculations: $200 + 200$

200+200=400200 + 200 = 400200+200=400

✅

B is correct because the evaluated sum of 25% of 800 and 40% of 500 equals 400.

Core Concepts Used

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Percentages Arithmetic Operations Fraction Conversion

💡 EXAM TIP

Percentage calculations form the foundation for profit and loss, simple and compound interest, and data interpretation topics in competitive exams.

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