Question

A number is in creased by 10% and then the increased number is decreased by 10% Find the net increase or decrease percent,​

Answer 1

Answer:

net decrease is 1 %.

Step-by-step explanation:

Solution :-

Let the required number be 100.

Then, according to the question.

⇒ Firstly, the number is increased by 10 %

⇒ 100 + (100*10)/100

⇒ 100 + 10

= 110

Secondly, it is decreased by 10 %  

⇒ 110 - (110*10)/100

⇒ 110 - 11

⇒ 99

Net increase or decrease percentage

= (Original Number - New Number)*100/100

⇒ (100 - 99)*100/100

⇒ (1*100)/100

⇒ 100/100

= 1 %

So, net decrease is 1 %.

Answer.

Answer 2

$\huge\underline\red{Answer:}$

$\small\underline\green{Let \: the \: number \: increased \: by \: 10\% \: be}$

$\small\underline\green{x \: = \: \frac{10x}{100} \: = \: \frac{11x}{10}}$

$\small\underline\green{The \: number \: is \: decreased \: by \: 10\% }$

$\small\underline\green{ = \: \frac{11x}{10} \: - \: \frac{11x}{10} \: \times \: \frac{10}{100}}$

$\small\underline\green{ = \: \frac{11x}{10} \: - \: \frac{11x}{100} \: = \: \frac{99x}{100}}$

$\small\underline\green{Decrease \: in \: percentage \: is}$

$\small\underline\green{Decrease \: = \: x \: - \: \frac{99x}{100} \: = \: \frac{x}{100}}$

$\small\underline\green{So, \: Decrease \: \%}$

$\small\underline\green{ = \: \frac{ \frac{x}{100} }{x} \times \: 100 \: \% }$

$\small\underline\green{ = \: 1\%}$

$\huge\underline\red{Explanation:}$

$\small\underline\green{Hope \: this \: answer \: will \: help \: you.}$

$\small\underline\green{Plz \: mark \: me \: as \: a \: Brainliest.}$