**PERCENTAGE SHORTCUT-1 ON VARIOUS MATHEMATICS PROBLEMS**

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*shortcut techniques for percentage***If we increased any value by x % and then decreased by y %. Then the resulting effect in percent will be:**

__Shortcut 1:__**“+ x + y + xy /100”.**

**Various Examples related to this Percentage Short cuts are given below:**

**The price of goods is marks 20% more than the real price by the shopkeeper. After that the shopkeeper allowed a discount of 10%. Now What profit or loss did the shopkeeper will get?**

*Example 1:***Solution:**We solve this as follow by using the percentage shortcut1 as follow:

The Loss (or)
Profit he will get is = 20 – 10 + (+20)(-10)/100

=

**+ 8% (profit).****Example 2:**Side of the square is increased by 30%. Find the percentage increase in area.

**Solution:**Here we again use the percentage shortcut 1.

So the increased
area percentage = 30 + 30 + (30)(30)/100

=

**69 % (increased).****Example 3:**Radius of the circle is decreased by 20%. What will be the percent change in area of the circle?

**Solution:**Therefore by using the

**percentage shortcut1**:

The Percent
change in area of circle is= - 20 - 20 + (-20)(-20)/100

=

**-36% (decreased)****Example 4:**The price of a car is increased by 15% than after that again decreased by 15%. What will be the percent change?

**Solution:**The percent change is = + 15 - 15 + (+15)(-15)/100

=

**- 2.25 % (decreased)****Example 5:**Length of a rectangle is increased by 40% and breadth of the rectangle is decreased by 40%. Find change in area.

**Solution:**By using the formula of percentage shortcut given above:

The percent
change in area of rectangle is= 40 - 40 + (-40)(+40)/100

= -

**16 %( decreased)**

Solve more problems
like this from various practice books. Please place your valuable comment if
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veryy use ful vireee mere hamesha percentage me atak jati haiii grarii

ReplyDeleteIts OK Dear...We are here to help out our readers with best content....Here will share more article like this....

ReplyDeletethanks it is helpful for us.

ReplyDeleteGr8 work admin ....plz add percentage shortcut-3 and other maths tricks..thanks

ReplyDeletereaalyy helpfull ..kindly keep adding dese kinda tricks

ReplyDeletethank u so much......

ReplyDeleteThank u..

ReplyDeleteTq so much. This shortcuts help me a lot....

ReplyDeletegood effort

ReplyDeletevery good and it is useful..

ReplyDeleteso thanku...

very very thankuu..

ReplyDelete