Successive Percentage Change
Successive Percentage Change
The concept of successive percentage change deals with two or more percentage changes applied to quantity consecutively. In this case, the final change is not the simple addition of the two percentage changes (as the base changes after the first change).
Suppose a number N undergoes a percentage change of x % and then y%, the net change is:
Here, z is the effective percentage change when a number is changed successively by two percentage changes.
Various cases for Percentage Change:
Both percentage changes are positive:
One percentage change is positive and the other is negative:
Both percentage changes are negative:
Percentage Change involving three changes:
If value of an object/number P is successively changed by x%, y% and then z%, then final value.
Illustration 1: A’s salary is increased by 10% and then decreased by 10%. The change in salary is
Solution: As firstly salary increases, thus use positive sign and then salary decreases, so use negative sign
Percentage change formula when x is positive and y is negative is given by
Here, x = 10, y = 10
As negative sign shows a decrease, hence the final salary is decreased by 1%.
Illustration 2: A number is first increased by 10% and then it is further increased by 20%. The original number is increased altogether by?
Solution : Percentage change formula when both x and y are positive =
Here, x = 10 and y = 20
Hence net percentage change
As positive sign shows increase, Hence, The original number is increased altogether by 32 %.
The percentage change formula when X is positive and Y is negative ___________________ . | |||
| Right Option : A | |||
| View Explanation | |||
If article's price was reduced by 30% and its sale increased by 70%. The net effect on the revenue is ____________________. | |||
| Right Option : B | |||
| View Explanation | |||
Two successive price decrease of 30% and 30% of an article are equivalent to a single price increase of ______________ | |||
| Right Option : C | |||
| View Explanation | |||
Students / Parents Reviews [20]
A marvelous experience with Abhyas. I am glad to share that my ward has achieved more than enough at the Ambala ABHYAS centre. Years have passed on and more and more he has gained. May the centre flourish and develop day by day by the grace of God.
Archit Segal
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Manya
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Anika Saxena
8thIn terms of methodology I want to say that institute provides expert guidence and results oriented monitering supplements by requsite study material along with regular tests which help the students to improve their education skills.The techniques of providing education helps the students to asses...
Aman Kumar Shrivastava
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Shivam Rana
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Manish Kumar
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Yatharthi Sharma
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Om Umang
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Prisha Gupta
8thAbout Abhyas metholodology the teachers are very nice and hardworking toward students.The Centre Head Mrs Anu Sethi is also a brilliant teacher.Abhyas has taught me how to overcome problems and has always taken my doubts and suppoeted me.
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