Question

the price of an article has been reduced by 10% . by how much percent must the new price be increased to retain the original price? give me answer with statements . if you give me solutions with statements then i am marked you as brainliest ..so give me solutions with statements.

Answer 1

let initial price be 100 rupee, price is reduced by 10℅ so new price will be 100-(100×10)÷100
=90

now the difference is 100-90=10rs
so the% increase=10×100÷90=11.11℅

Answer 2

Answer:

11.11% must the new price be increased to retain the original price.

Step-by-step explanation:

Given : The price of an article has been reduced by 10% .

To find : By how much percent must the new price be increased to retain the original price?

Solution :

Let the original price of an article is 'x'.

The new price of an article is 'y'.

According to question,

The price of an article has been reduced by 10% .

i.e. $x=y-10\%\text{ of }y$

$x=y-\frac{10}{100}y$

$x=y-0.1y$

$x=0.9y$

$y=\frac{10}{9}x$

Total increase is $\frac{10}{9}x-\frac{x}{9}=\frac{x}{9}$

Therefore, Percentage increase is

$P=\frac{x}{9}\times \frac{100}{x}$

$P=\frac{100}{9}\%$

$P=11.11\%$

Therefore, 11.11% must the new price be increased to retain the original price.