A man sold a camera for rs. 1710 losing 5%. At what price should he sell the camera in order to gain 5%. .​

Question :

A man sold a camera for rs. 1710 losing 5%. At what price should he sell the camera in order to gain 5%.

Answer :

[tex]\bf\pink{Given:}[/tex]

Selling price of camera is Rs 1710 .

Loss percentage is 5% .

[tex]\bf\pink{To\:find:}[/tex]

selling price to get 5% profit ?

Explanation :

To find the selling price to get 5% profit we need to find its cost price first .

[tex]\sf\purple{ cost\:price = \dfrac{100}{100 – loss\: percentage}\times selling\:price}[/tex]

[tex]\\ \longrightarrow\sf{ \dfrac{100}{100 – 5}\times 1710}[/tex]

[tex]\\ \longrightarrow\sf{ \dfrac{100}{95}\times 1710}[/tex]

[tex]\\ \longrightarrow\sf{ 100\times 18}[/tex]

[tex]\\ \longrightarrow\sf{ 1800}[/tex]

Therefore the cost price is Rs 1800 .

Now selling price to get 5% profit is :

[tex]\sf\purple{Selling\:price = \dfrac{100 + profit\: percentage}{100}\times cost\:price}[/tex]

[tex]\\ \longrightarrow\sf{\dfrac{100 + 5}{100}\times 1800}[/tex]

[tex]\\ \longrightarrow\sf{\dfrac{105}{100}\times 1800}[/tex]

[tex]\\ \longrightarrow\sf{105\times 18}[/tex]

[tex]\\ \longrightarrow\sf{ 1890}[/tex]

Therefore he should sell it at Rs 1890 to get 5% profit .

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