Percentages, Profit and Loss
Percentages
1.x% =x/100
2.x% of y = xy/100
3.y% of x= yx/100
4.x% of y = y% of x
5.x=p %of y => x=py/100 => y= 100x/p
Example:
A man’s wages were reduced by 40%. Again, the reduced wages were increased by
40%. Find the percentage decrease in his original wages.
Sol.
Assume the initial wages to be Rs.100/-
Then wages after reduction of 40% = Rs.60
After 40% increase on the reduced wages, new wages =(140/100 )* 60 = Rs.84
Percentage of decrease on his initial wages = 100 – 84 = 16%
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