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3 (a) Write 48 as a percentage of 200 - OCR - GCSE Maths - Question 3 - 2018 - Paper 1

Question 3

3 (a) Write 48 as a percentage of 200. (b) Work out $ \frac{1}{4} $ of 80. (c) Decrease 650 by 40%.

Worked Solution & Example Answer:3 (a) Write 48 as a percentage of 200 - OCR - GCSE Maths - Question 3 - 2018 - Paper 1

Step 1

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Answer

To find what percentage 48 is of 200, we can use the formula:

$\text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100$

Here, the Part is 48 and the Whole is 200. Therefore:

$\text{Percentage} = \left( \frac{48}{200} \right) \times 100 = 24\%$

Step 2

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Answer

To calculate ( \frac{1}{4} ) of 80, we multiply 80 by ( \frac{1}{4} ):

$\frac{1}{4} \times 80 = 20$

Step 3

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Answer

To decrease 650 by 40%, first, we find 40% of 650:

$40\% \text{ of } 650 = \frac{40}{100} \times 650 = 260$

Now, we subtract this value from 650:

$650 - 260 = 390$

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