an article was sold for rupee 550with a profit of of 10% what was the cost price of the special question​

2 thoughts on “an article was sold for rupee 550with a profit of of 10% what was the cost price of the special question​”

1. Answer:

   cp=500

   Explanation:

   cp = (100/100+profit%)×sp

   = (100/100+10)×550

   =100/110×550

   =100×5

   =500

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2. [tex]\small \bf \red{Let\; the\; Cost\; Price\; be\; Rs\; x}[/tex]

   [tex]\bf\red{S.P = C.P + Profit}[/tex]

   [tex] \bf \red{\implies550 = x + 10 \% \: of \: x}[/tex]

   [tex] \bf \red{\implies550 = \frac{x + 10x}{100}} [/tex]

   [tex] \bf \red{\implies550 = \frac{ x + x}{10}}[/tex]

   [tex] \bf \red{\implies550 = \frac{11x}{10}}[/tex]

   [tex] \bf \red{\implies \: x = \frac{550 \times 10}{11}}[/tex]

   [tex] \bf \red{\implies x = 50 \times 10}[/tex]

   [tex] \bf \red{\implies x = 500}[/tex]

   [tex]\bf\green{Cost\; Price = Rs \;500}[/tex]

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