Answer:
Explanation:
a) increase 100 by 5%
[tex]\begin{gathered} 105\text{\% of 100 = 1.05}\times100 \\ =105 \end{gathered}[/tex]b) increase your result form (a)by 5%
[tex]\begin{gathered} 105\text{\% of 105 = 1.05}\times105 \\ =110.25 \end{gathered}[/tex]c) The overall percent increase of the number 100;
[tex]\begin{gathered} \text{ \%P = }\frac{110.25-100}{100}\times100\text{\%} \\ \text{ \%P= 10.25\%} \end{gathered}[/tex]It is not 10% because the second 5% increase was not on the initial number 100.
increasing 105 by 5% is more than increasing 100 by 5%.
Therefore, increasing 100 by 5% followed by increasing the result by 5% is greater than increasing 100 by 10%.
