Question

What single decimal multiplier would you use to decrease by 12% followed by a 5% decrease?

Answer 1

$\text{Let the given number be x }$

$\textbf{First deduction:}$

$=x-\dfrac{12}{100}x$

$=\dfrac{100x-12x}{100}$

$=\dfrac{88x}{100}$

$=\dfrac{22x}{25}$

$\text{After the first deduction the number becomes \bf\dfrac{22x}{25} }$

$\textbf{Second deduction:}$

$=\dfrac{22x}{25}-\dfrac{5}{100}(\dfrac{22x}{25})$

$=\dfrac{22x}{25}-\dfrac{1}{100}(\dfrac{22x}{5})$

$=\dfrac{22x}{25}-\dfrac{22x}{500}$

$=\dfrac{440-22x}{500}$

$=\dfrac{418x}{500}$

$=\dfrac{418x}{5{\times}100}$

$=\dfrac{83.6x}{100}$

$\text{After the second deduction the number becomes \bf\dfrac{83.6x}{100} }$

$\textbf{Total deduction in the original value:}$

$x-\dfrac{83.6x}{100}$

$=\dfrac{100x-83.6x}{100}$

$=\dfrac{16.4x}{100}$

$\therefore\textbf{The required single multiplier is \bf16.4\% }$

Find more:

An employee is required to contribute 10% of his pay to general provident fund. If he gets rs. 13500 as net pay in a month, then what is the monthly general provident fund contribution (assuming no other deduction)? In math

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Answer 2

Answer:

0.836

Step-by-step explanation:

correct awnser