10% increase decrease

Algebra Level 1

The price of a table was increased by 10% last day. But on the next day it was reduced by 10%. How much percentage difference came in the price of the table....?

Note: If the answer is 5% type the answer as 5.


The answer is 1.

Siva Prasad by Siva Prasad , 20, India

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4 solutions

Savan Patel
Apr 7, 2014

at first day say it is 100 then at next day it is 110 and at next day it is 110-11 so finally |100-110+11|=1

3 Helpful 0 Interesting 0 Brilliant 0 Confused

x 1.1 0.9=0.99x diff=x-0.99x=0.01x=1% of x

Uma Sirisha - 7 years, 1 month ago

1%

samikhya satpathy - 7 years, 1 month ago
Akshay Sonu
Apr 9, 2014

consider the price of commodity as 100, then as it is increased by 10% ,its value now is 110, again it is decreased by 10% so its price is now 99, hence the exact difference is just 1%.

2 Helpful 0 Interesting 0 Brilliant 0 Confused

same with me

Valerian Pratama - 7 years, 1 month ago
Rabiul Islam
Apr 6, 2014

lets the price is X

so last day the price was increased 10% and price become X+X*0.1= 1.1X

Next the price decrease 10% and the price become 1.1X-1.1X*0.1=0.99X

So overall the is reduced by X-0.99X=0.01X or 1%

1 Helpful 0 Interesting 0 Brilliant 0 Confused

So the answer shoud be -1 then?

Simon Tinsley - 7 years, 1 month ago
Prajwal Kavad
Apr 28, 2014

Let the price of table as 100, then as it is increased by 10% ,then its value is 110, then it is decreased by 10% so its value is now 99 ,therefore difference is just 1%.

0 Helpful 0 Interesting 0 Brilliant 0 Confused

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