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CBSE Class 8 Answered

the number incresead by 20% and decreased by 10%.find the net decrease or increase percent
Asked by nishantkushwaha512 | 22 Aug, 2018, 02:59: PM
answered-by-expert Expert Answer
begin mathsize 16px style Let space the space number space be space 100.
the space number space is space increased space by space 20 space percent sign.
Hence comma space 20 space percent sign space of space 100 equals space 100 plus open parentheses 20 over 100 cross times space 100 close parentheses space equals space 120 space
The space resulting space number space equals space 100 space percent sign space plus space 20 space percent sign equals space 120 space percent sign space space
Also space given space that space the space resulting space number space is space decrease
equals space 120 space minus space open parentheses 10 over 100 cross times 100 close parentheses space equals space 110
Now comma space net space increase space equals space 110 space minus space 100 space equals space 10
Increase space percent sign space equals space open parentheses fraction numerator net space increase over denominator orginal space number end fraction cross times 100 close parentheses percent sign equals space open parentheses 10 over 100 cross times 100 close parentheses space equals space 10
So comma decrease space in space number space equals space 120 percent sign space minus space 12 percent sign thin space equals space 108 percent sign
rightwards double arrow Net space increase space in space percent space of space the space original space number space is space 10 percent sign.
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space end style
Answered by Yasmeen Khan | 23 Aug, 2018, 11:25: AM
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