Subtract the new amount from the old amount and divide that answer by the old amount, then multiply that answer by 100.
An item last year cost $450. If it increases this year by 15%, what is its new cost?
Solution: Find 15% of 450 and then add this to 450.
So, (15/100) x 450 = 67.5
Therefore, the new cost is
450 + 67.50 = 517.50
The full explanation of this starts with the first solution from above, which is the original price plus the 15% of it.
450 + 0.15 x 450
This can be written as
1 x 450 + 0.15 x 450
(1+0.15) x 450
1.15 x 450 = 517.50
the skill is reading the question and jumping to the last line.
EXAMPLE: A golf club last year cost $80. Its price is increased by 6%. What is the new cost of the club?
(6/100) x 80 + 80
= 0.6 x 80 + 80
= 48 + 80
= 128
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