# Percentages (change)

Increasing an amount by a percentage and decreasing an amount. Question and how to work it out :):) Also how to find the percentage reduction and increase.

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## Increasing an amount;

Q) The number of sunflowers in Emily's garden is 49 she increases that amount by 6% how many sunflowers does she have now? (round to nearest whole number)

A) you would do:

49x1.06=51.94 (round to 52)

Explanation) 49 is the total amount before the increase so that amount is already 100% so by adding 6% more sunflowers she will have 106%, we have to make that 106% into a decimal so it would be 1.06.

So the total amount of sunflowers that Emily now has is 52.

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## Decreasing an amount;

Q) A train ticket costs £23.50, the price decreases by 8% how much does it cost after the reduction?

A) you would do:

£23.50x0.92=£21.62

Explanation) £23.50 is the total amount befare the reduction so that amount is already 100%, by decreasing the amount by 8% we are taking 8% off the 100%. So that the new percentage is 92%, we need to convert that to a decimal so it would be 0.92.

So the total price of the ticket is now £21.62

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## Finding the increased percentage;

Q) Nigel gets a pay rise from £9.48 per hour to £9.83 per hour. Calculate the increase. (round to 1 Decimal Place)

A) you would do:

£9.83-£9.48=£0.35

(£0.35/£9.48)x100=3.7% (to 1 D.P)

Explanation) Remember that for increased percentage you do the product of the two amounts divided by the smaller amount, then times by 100.

So Nigels pay increased by 3.7%

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## Finding the decreased percentage;

Q) The number of workers at Bobd factory decreases from 721 employees to 684 employees. Calculate the reduction. (round to 1 D.P)

A) you woould do:

721-684=37

(37/721)x100=5.1%

Explanation) Remember that for decreased percentage you do the product of the two amounts divided by the larger amount, then times by 100.

So the number of Bob's staff decreased at a percentage of 5.1%

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Hope that helped you guys on the percentage stuff on unit 1 GCSE AQA maths :)

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Excellent examples of solving percentage problems using a multiplier.

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Whoever has made this website,God bless them!!!!!

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Whoever has made this website,God bless them!!!!!

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Thank you! Super stuff! one question: "If I was to increase by a decimal percentage such as 3.7%, how would I do that? "

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Thank you! Super stuff! one question: "If I was to increase by a decimal percentage such as 3.7%, how would I do that? "