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Excellent Method for Calculating Successive Percentages...

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Excellent Method for Calculating Successive Percentages... [#permalink]

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New post 03 Oct 2014, 12:52
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For successive increase / decrease in percentages, for successive years / times, the following formula will come handy:

Let the successive increase in percentages be a% and b%.
In that case, the total increase will be (a + b + ab/100 )%

Lets try an example.

If the increase is 10% and 20 %, the successive increase will be (10 + 20 + 20 * 10/100) = 32 %.

If there's an increase and a decrease, in that case, the decrease will be considered a negative value.

Lets try an example.

If there's an increase of 20% and then a decrease of 10%, the successive percentage will be (20 + (-10) + 20 * (-10) / 100 ) = 20 - 10 - 2 = 8% increase.

Now in case of discounts, the value of discount percentages will be considered negative.

Lets try an example

If Kouton's give 50% + 50% off on independence day, what is the final discount given by Koutons

The discount percentage will be (-50 + (-50) + (-50) * (-50) / 100 ) = -100+25 = 75% discount.

This method is useful when the percentage increase / decrease if for lot many times.

Once this method is mastered, successive percentage calculation will be a cakewalk and would relieve you of the pain of picking up pencil and scribing on paper.. :-)

Hope the methods helps you all.
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Re: Excellent Method for Calculating Successive Percentages... [#permalink]

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New post 07 Oct 2015, 09:41
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Re: Excellent Method for Calculating Successive Percentages... [#permalink]

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New post 12 Oct 2015, 06:40
thanks, very helpful

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Re: Excellent Method for Calculating Successive Percentages... [#permalink]

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New post 18 Dec 2016, 07:49
UmangMathur wrote:
For successive increase / decrease in percentages, for successive years / times, the following formula will come handy:

Let the successive increase in percentages be a% and b%.
In that case, the total increase will be (a + b + ab/100 )%

Lets try an example.

If the increase is 10% and 20 %, the successive increase will be (10 + 20 + 20 * 10/100) = 32 %.

If there's an increase and a decrease, in that case, the decrease will be considered a negative value.

Lets try an example.

If there's an increase of 20% and then a decrease of 10%, the successive percentage will be (20 + (-10) + 20 * (-10) / 100 ) = 20 - 10 - 2 = 8% increase.

Now in case of discounts, the value of discount percentages will be considered negative.

Lets try an example

If Kouton's give 50% + 50% off on independence day, what is the final discount given by Koutons

The discount percentage will be (-50 + (-50) + (-50) * (-50) / 100 ) = -100+25 = 75% discount.

This method is useful when the percentage increase / decrease if for lot many times.

Once this method is mastered, successive percentage calculation will be a cakewalk and would relieve you of the pain of picking up pencil and scribing on paper.. :-)

Hope the methods helps you all.

how will it work for 4 or 5 such successive change?

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Re: Excellent Method for Calculating Successive Percentages... [#permalink]

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New post 02 Oct 2017, 11:04
what to do if three or more percentages are given?

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Re: Excellent Method for Calculating Successive Percentages...   [#permalink] 02 Oct 2017, 11:04
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Excellent Method for Calculating Successive Percentages...

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