By how much is 40% of 80 greater than 25% of 60? | Mathematics MCQ | Examoogle

Result=(P1100×V1)−(P2100×V2)\text{Result} = \left( \frac{P_1}{100} \times V_1 \right) - \left( \frac{P_2}{100} \times V_2 \right)Result=(100P1​​×V1​)−(100P2​​×V2​)

⚡ Exam Hall Shortcut / Speed Trick

Calculate 10% of 80 (which is 8) then multiply by 4 to get 32. Subtract one-quarter of 60 (which is 15). $32 - 15 = 17$ .

⚠️ Common Student Trap / Pitfall

Students often make calculation errors when working with percentages of different bases, or accidentally add the values instead of finding the difference.

📊 Diagram / Illustration

🔢 Step-by-Step Solution

Calculate 40% of 80

Convert the percentage to a fraction and multiply by the base value: $\frac{40}{100} \times 80$ .

40100×80=0.4×80=32\frac{40}{100} \times 80 = 0.4 \times 80 = 3210040​×80=0.4×80=32

Calculate 25% of 60

25% is equivalent to one-fourth ( $1/4$ ): $\frac{25}{100} \times 60$ .

25100×60=0.25×60=15\frac{25}{100} \times 60 = 0.25 \times 60 = 1510025​×60=0.25×60=15

Find the difference

Subtract the second result from the first result: $32 - 15$ .

32−15=1732 - 15 = 1732−15=17

✅

B is correct because the difference between 32 and 15 is 17.

Core Concepts Used

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Percentage calculation Fractional equivalents of percentages Difference of values

💡 EXAM TIP

Understanding that 25% is $1/4$ and 50% is $1/2$ allows you to perform these operations mentally without writing down fractions or decimals.

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