A shopkeeper selling lamps mark up the price of the lampsby 10%. After marking up the price, he sells the lamps at adiscount but he suffers an overall loss of 1% after giving thediscount. Find the discount percent that the shopkeeperoffered​

  • matematika

    Subject:

    Math
  • Author:

    goober
  • Created:

    1 year ago

Answers 2

Answer:

89% is correct answer

Step-by-step explanation:

100-10-1=89

Step-by-step explanation:

As per the data,

It is given that,

The shopkeeper mark up the price of lamp by 10%

So, let us assume that C.P. of the lamp is [tex]100x[/tex]

As the markup was done by 10%

So, MRP of the lamp will be [tex]100x + \frac{10}{100} \times 100x = 110x[/tex]

As we know,

The mark discount are given on the mark up price.

It is also given that, after giving a discount the sellers suffers a loss of 1%

So, selling price of the lamp will be [tex]100x -\frac{1}{100}\times 100x = 99x[/tex]

As we know that,

We have formula for finding the SP in term of discount and MP

[tex]SP = \frac{100 - \%d}{100}\times MP[/tex]

So, putting the value we will get,

[tex]99x = \frac{100 -\%d}{100}\times 110x\\= > 9=\frac{100 -\%d}{100}\times 10\\= > 9=\frac{100-\%d}{10}\\= > 100-\%d =90\\= > \%d = 100\%-90\% = 10%[/tex]

Hence, value of the discount offered will be 10%

Answer:

The value of the discount offered will be 10%.

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