What single decimal multiplier would you use to increase by 4% followed by a 4% decrease?
Answers
Step-by-step explanation:
To increase or decrease an amount by a percentage, first calculate the percentage of the amount and then either add this answer on to increase the quantity, or subtract this answer to decrease the quantity. There is more than one way to find the percentage of an amount.
Examples
Increase £50 by 8%.
Using the multiplying method, first find 8% of £50:
\frac{8}{100} \times 50 = \frac{8}{100} \times \frac{50}{1} = \frac{400}{100} = 4
8% of £50 is £4, so to increase £50 by 8%, add the £4 onto the £50, which is £54.
Decrease 72 kg by 40%.
Using the 10% method, first find 40% of 72 kg:
10% = 72 \div 10 = 7.2
10% = 7.2, so 40% = 7.2 \times 4 = 28.8
40% of 72 kg is 28.8 kg, so to decrease 72 kg by 40%, subtract 28.8 from 72, which is 43.2 kg.
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