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# GCSE maths question on successive percentages watch

1. Hello, I'm finding this question quite hard:

"Calculate the overall percentage change, stating whether it is an increase or a decrease. An 12% increase then a 12% decrease."
I understand that you would change then to their multipliers so 12% increase= x 1.12 and 12% decrease = x 0.88
Then you multiply the multipliers so 0.9856 but I'm really confused as to what you do next? Any help would be greatly appreciated!
2. (Original post by studyblogg)
Hello, I'm finding this question quite hard:

"Calculate the overall percentage change, stating whether it is an increase or a decrease. An 12% increase then a 12% decrease."
I understand that you would change then to their multipliers so 12% increase= x 1.12 and 12% decrease = x 0.88
Then you multiply the multipliers so 0.9856 but I'm really confused as to what you do next? Any help would be greatly appreciated!
Is 98.6% more or less than 100%?
3. The core point here is that you multiply some figure or other by 1.12 which increases it by 12%. Whe you multiply the new figure by 0.88 you are decreasing it by 12% but it is now a bigger figure and so 12% of it is larger than the 12% of you original figure was.

Try it with a really big percentage to see. Increase £8.00 by 50% and then decrease the new figure by 50%.

£8 * 1.5 = £12 (as expected)
£12 * 0.5 = £6 i.e. Smaller than £8.

If you are having difficulty with a problem then try to do the same problem with really easy figures to see what is happening more clearly.
4. Wow thank you both so much, I realise how simple that is now. I don't know why I was making it more complicated. Thanks again!

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