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10 (a) Write 62 as a percentage of 500 - OCR - GCSE Maths - Question 10 - 2017 - Paper 1

Question 10

10 (a) Write 62 as a percentage of 500. (b) Increase £196 by 9%.

Worked Solution & Example Answer:10 (a) Write 62 as a percentage of 500 - OCR - GCSE Maths - Question 10 - 2017 - Paper 1

Step 1

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Answer

To find 62 as a percentage of 500, use the formula:

ext{Percentage} = rac{ ext{Part}}{ ext{Whole}} imes 100

Substituting the values in:

ext{Percentage} = rac{62}{500} imes 100 = 12.4\%

Thus, 62 is 12.4% of 500.

Step 2

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Answer

To increase £196 by 9%, first calculate 9% of 196:

9 ext{ ext{%}} = rac{9}{100} imes 196 = 17.64

Now, add this value to the original amount:

ext{Final Amount} = 196 + 17.64 = 213.64

Therefore, increasing £196 by 9% gives £213.64.

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