12$\frac{1}{2}$% of 1 hour 40 mins is | Mathematics MCQ | Examoogle

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12 $\frac{1}{2}$ % of 1 hour 40 mins is

20.5 mins

12.5 mins

15 mins

25 mins

None of the above

Correct Answer

📐 MA • Math Direct FormulaMathematicsPercentage

Option B

12.5 mins

Quick Summary:

Convert the percentage $12.5\%$ to the fraction $\frac{1}{8}$ immediately, then divide the total time in minutes by 8.

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📐MAMath SolutionDirect Formula

📋 Given

Percentage value = 12 1/2%, Total time = 1 hour 40 minutes.

🔢 Formula Used

Result=(P100)×T\text{Result} = \left( \frac{P}{100} \right) \times TResult=(100P​)×T

⚡ Exam Hall Shortcut / Speed Trick

Convert the percentage $12.5\%$ to the fraction $\frac{1}{8}$ immediately, then divide the total time in minutes by 8.

⚠️ Common Student Trap / Pitfall

The most common mistake is failing to convert the entire duration into a single unit (minutes) before calculating the percentage.

📊 Diagram / Illustration

🔢 Step-by-Step Solution

Convert time to minutes

Since 1 hour = 60 minutes, the total duration is $60 + 40 = 100$ minutes.

T=60+40=100 minutesT = 60 + 40 = 100 \text{ minutes}T=60+40=100 minutes

Convert percentage to fraction

Convert $12 \frac{1}{2}\%$ to a decimal or fraction: $12.5\% = \frac{12.5}{100} = \frac{1}{8}$ .

12.5100=18\frac{12.5}{100} = \frac{1}{8}10012.5​=81​

Calculate final value

Multiply the fraction by the total time in minutes: $\frac{1}{8} \times 100 = 12.5$ minutes.

100×18=12.5 minutes100 \times \frac{1}{8} = 12.5 \text{ minutes}100×81​=12.5 minutes

✅

B is correct because calculating 12.5% of 100 minutes results in 12.5 minutes.

Core Concepts Used

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Unit conversion Fractional percentage conversion Basic arithmetic

💡 EXAM TIP

This type of time-percentage conversion is frequently tested in Speed, Distance, and Time problems where segments of a journey are expressed as percentages of the total travel time.

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