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A Number is Increased by 10% and the Resulting Number is Again Increased by 20%. What is the Overall Percentage Increase in the Number? - Mathematics

Sum

A number is increased by 10% and the resulting number is again increased by 20%. What is the overall percentage increase in the number?

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Solution

Let the number be = 100

Increased by 10%

∴ New number = 100 + 10 = 110

Increased by 20%

∴ Net increase = `(110 xx 20)/(100)` = 22

∴ New number = 110 + 22 = 132

Overall change = 132 - 100 = 32 (increase)

∴ Increase %

= `(32)/(100) xx 100` = 32%

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APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 7 Percent and Percentage
Exercise 7 (C) | Q 5 | Page 86
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