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A Number is First Increased by 20% and the Resulting Number is Then Decreased by 10%. Find the Overall Change in the Number as Percent. - Mathematics

Sum

A number is first increased by 20% and the resulting number is then decreased by 10%. Find the overall change in the number as percent.

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Solution

Let the original number = 100

Increased by 20%

∴ New number = 100 + 20 = 120

Decreased by 10% = `(120 xx 10)/(100)` = 12

∴ New number = 120 - 12 = 108

Overall change = 108 - 100 = 8

Required. Percentage = `(8)/(100) xx 100`

= 8% (increase)

Concept: Concept of Percent and Percentage
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APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 7 Percent and Percentage
Exercise 7 (C) | Q 4 | Page 86
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