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 %.
If value of an object P is successively decreased by 10%, 20% and then 30%, then find final value if P = 10?. | |||
| Right Option : A | |||
| View Explanation | |||
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 | |||
Students / Parents Reviews [10]
About 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.
Shreya Shrivastava
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Manish Kumar
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Om Umang
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Eshan Arora
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Prisha Gupta
8thMy experience with Abhyas academy is very good. I did not think that my every subject coming here will be so strong. The main thing is that the online tests had made me learn here more things.
Hiya Gupta
8thOne of the best institutes to develope a child interest in studies.Provides SST and English knowledge also unlike other institutes. Teachers are co operative and friendly online tests andPPT develope practical knowledge also.
Aman Kumar Shrivastava
10thMy experience with Abhyas is very good. I have learnt many things here like vedic maths and reasoning also. Teachers here first take our doubts and then there are assignments to verify our weak points.
Shivam Rana
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Archit Segal
7thIt was a good experience with Abhyas Academy. I even faced problems in starting but slowly and steadily overcomed. Especially reasoning classes helped me a lot.
