Math, asked by pramodkaluapurpebn8q, 1 year ago

a company reduced the price of an article by 5% by how much % a retailer must increases the new price so as to sell the article at the old price

Answers

Answered by ramsir47
34
Let original price be "x":
After reduction: 0.95x
------
Solve:
k(0.95x) = x
0.95k = 1
k = 1/0.95 = 1.0526
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Ans: Increase price by 5.26%
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Answered by aquialaska
67

Answer:

Retailer must increases the new price by 5.26 % so as to sell the article at the old price

Step-by-step explanation:

Given:

Percentage of price that company reduced of an article = 5%

To find: Percentage by which retailer increase the price of article to make it old price.

Let x be the old price of the article.

After reduction price of article = x - 5% of x

                                                  = x - 5/100 × x

                                                  = x - x/20

                                                  = 19x/20

According tot the Question,

Increased percentage = \frac{x-\frac{19x}{20}}{\frac{19x}{20}}\times100

                                     =\frac{\frac{20x-19x}{20}}{\frac{19x}{20}}\times100

                                     =\frac{x}{19x}\times100                                      

                                     =\frac{100}{19}

                                     =5.26

Therefore, Retailer must increases the new price by 5.26 % so as to sell the article at the old price.

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