Question

on selling a fan for rs 180.sunil gains 8% for how much did he purchase it.
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Answer 1

Answer:

Sunil purchased the fan for Rs. 166.67.

Step-by-step-explanation:

We have given that,

For a fan,

• Selling price ( SP ) = Rs 180
• Gain percent = 8

We have to find the cost price ( CP ) of the fan.

We know that,

$\displaystyle{\boxed{\pink{\sf\:Gain\:\%\:=\:\dfrac{Gain}{Cost\:price}\:\times\:100\:}}}$

$\displaystyle{\implies\sf\:8\:=\:\dfrac{Selling\:price\:-\:Cost\:price}{Cost\:price}\:\times\:100}$

$\displaystyle{\implies\sf\:8\:=\:\dfrac{(\:180\:-\:CP\:)\:\times\:100}{CP}}$

$\displaystyle{\implies\sf\:8\:CP\:=\:18000\:-\:100\:CP}$

$\displaystyle{\implies\sf\:8\:CP\:+\:100\:CP\:=\:18000}$

$\displaystyle{\implies\sf\:108\:CP\:=\:18000}$

$\displaystyle{\implies\sf\:CP\:=\:\dfrac{\cancel{18000}}{\cancel{108}}}$

$\displaystyle{\implies\sf\:CP\:=\:\dfrac{\cancel{4500}}{\cancel{27}}}$

$\displaystyle{\implies\sf\:CP\:=\:\cancel{\dfrac{1500}{9}}}$

$\displaystyle{\implies\sf\:CP\:=\:166.666}$

$\displaystyle{\implies\sf\:CP\:\approx\:166.67}$

$\displaystyle{\therefore\:\underline{\boxed{\red{\sf\:Cost\:price\:\approx\:166.67\:}}}}$

∴ Sunil purchased the fan for Rs. 166.67.