Question

By selling an article for Rs. 900, loss of 18% occurs. At what price should the the shopkeeper sell the article to get a profit of 8%

Please answer with explanation

Answer 1

Step-by-step explanation:

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${\large{\bold{\rm{\underline{Let's \; understand \; the \; concept \; 1^{st}}}}}}$

★ This question says that by selling an article for Rupees 900, there is a loss occur of 18 percentage. Then the question says that we have to find out that at what price should the the shopkeeper sell the article to get a profit of 8 percentage.

${\large{\bold{\rm{\underline{Given \; that}}}}} </p><p>$

★ Selling price of an article = Rs. 900

★ Loss occur on selling an article = 18%

${\large{\bold{\rm{\underline{To \; find}}}$

★ At what price should the the shopkeeper sell the article to get a profit of 8 percentage.

${\large{\bold{\rm{\underline{Solution}}}}$

★ At 1185.36 Rupees should the the shopkeeper sell the article to get a profit of 8 percentage.

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${\large{\bold{\rm{\underline{Using \; concept}}}}}$

★ Loss percentage formula(CP)

★ Profit percentage formula(SP)

${\large{\bold{\rm{\underline{Using \; formula}}}}} </p><p>$

★ CP = SP × 100 / 100 - loss%

★ SP = CP(1+Profit/100)

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${\large{\bold{\rm{\underline{Full \; Solution}}}}}$

~ Firstly let us find the Cost price !

↝ CP = SP × 100 / 100 - loss%

↝ CP = 900×100 / 100-18

↝ CP = CP = 90000 / 82

↝ CP = CP = 1097.56 Rupees

~ Now let's find new SP !

↝ SP = CP(1+Profit/100)

↝ SP = 1097.56(1+8/100)

↝ SP = 1097.56(108/100)

↝ SP = 1097.56(27/25)

↝ SP = 1185.36 Rupees

† Henceforth, 1185.36 Rupees is that price on which the shopkeeper sell the article to get a profit of 8 percentage.

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