The price of a camera

[ecrs2300]

The price of a camera is increased by 30%. Later in a sale, the new price is reduced by 20%. What percentage change is the sale price compared to the original price? (It's not 10%!)

[Oldred]

+ 4%?

[jan1956]

50%
if you work on the basis that the camera was originally £90
it is reduced by 30% so now costs £60
it is reduced by a further 20%
so take £15 off £60 so it is now only £45
which is half of £90

[Mamyalynne]

yep 4%

[Mamyalynne]

no jan it was increased by 30%

[jan1956]

sorry mis read the question (goes to corner in shame)

[Jumbuck]

Oldred's right:

increase takes it to 130%
20% reduction = 80% of new price = 80% of 130% = 104%
therefore precentage increase from original = 4%

[Sandy-Wroe]

100% + 30% =130% reduced by 20% it now costs 104% of the original price.
The change is 4%

[ecrs2300]

Welld done 4%
Sorry jan but it was increased by 30% not decreased

[Fibonacci]

To increase a price by 30% multiply the amount by [100% + 30% = 130%] 1.30
to then reduce a price by 20% multiply the amount by [100% - 20% = 80%] 0.80
x 1.3 then x 0.8 is equivalent to x 1.04 [13 x 8 = 104 so 1.3 x 0.8 = 1.04]
1.04 = 104% so overall price increase is 4%.