Correct Answer

📐 MA • Math Direct FormulaMathematicsPercentage

Option A

400

Quick Summary:

Since 15% is 60, divide 60 by 15 to get 1% = 4, then multiply by 100 to get 100% = 400.

📐MAMath SolutionDirect Formula

📋 Given

15% of a number is equal to 60.

🔢 Formula Used

x=Value×100Percentagex = \frac{\text{Value} \times 100}{\text{Percentage}}x=PercentageValue×100​

⚡ Exam Hall Shortcut / Speed Trick

Since 15% is 60, divide 60 by 15 to get 1% = 4, then multiply by 100 to get 100% = 400.

⚠️ Common Student Trap / Pitfall

Students often calculate 15% of 60 (i.e., 9) instead of finding the base value that results in 60.

📊 Diagram / Illustration

🔢 Step-by-Step Solution

Define the equation

Let the number be $x$ . According to the problem, 15% of $x$ is 60.

0.15×x=600.15 \times x = 600.15×x=60

Isolate the variable x

To find $x$ , divide 60 by 0.15 (or multiply by the reciprocal of the percentage).

x=600.15x = \frac{60}{0.15}x=0.1560​

Calculate the final value

Performing the division: $60 \div 0.15 = 6000 \div 15 = 400$ .

x=400x = 400x=400

✅

A is correct because 15% of 400 is exactly 60.

Core Concepts Used

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Percentage Base value calculation Algebraic equations

💡 EXAM TIP

This concept of finding the base is identical to Profit and Loss problems where you find the Cost Price given the Selling Price and Profit percentage.

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