Question

find CP when SP is equal to rs 5625 and profit 12.5% answer​

Answer 1

Answer:

its easy

Step-by-step explanation:

CP=Rs.{(100/(100+gain%))×SP}

={(100/(100+(25/2)))×5625}

={(100/(200+25)/2)×5625}

={(200/225)×5625}

=5000(answer)

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Answer 2

Answer:

The cost price is Rs. 5000.

Step-by-step-explanation:

We have given that,

Selling price = Rs. 5625

Profit % = 12.5

We have to find the cost price.

Let the cost price be Rs. x.

Now, we know that,

$\displaystyle{\pink{\sf\:Profit\:\%\:=\:\dfrac{Profit}{Cost\:price}\:\times\:100}\sf\:\quad\:-\:-\:-\:[\:Formula\:]}$

$\displaystyle{\implies\sf\:12.5\:=\:\dfrac{Selling\:price\:-\:Cost\:price}{Cost\:price}\:\times\:100\:\quad\:-\:-\:-\:[\:\because\:Profit\:=\:Selling\:price\:-\:Cost\:price\:]}$

$\displaystyle{\implies\sf\:12.5\:=\:\dfrac{5625\:-\:x}{x}\:\times\:100}$

$\displaystyle{\implies\sf\:12.5\:=\:\dfrac{(\:5625\:-\:x\:)\:\times\:100}{x}}$

$\displaystyle{\implies\sf\:12.5\:\times\:x\:=\:(\:5625\:-\:x\:)\:\times\:100}$

$\displaystyle{\implies\sf\:12.5\:x\:=\:562500\:-\:100x}$

$\displaystyle{\implies\sf\:12.5\:x\:+\:100x\:=\:562500}$

$\displaystyle{\implies\sf\:112.5\:x\:=\:562500}$

$\displaystyle{\implies\sf\:x\:=\:\dfrac{562500}{112.5}}$

$\displaystyle{\implies\sf\:x\:=\:\cancel{\dfrac{5625000}{1125}}}$

$\displaystyle{\implies\sf\:x\:=\:\cancel{\dfrac{1125000}{225}}}$

$\displaystyle{\implies\sf\:x\:=\:\cancel{\dfrac{225000}{45}}}$

$\displaystyle{\implies\sf\:x\:=\:\dfrac{\cancel{45}000}{\cancel{9}}}$

$\displaystyle{\implies\underline{\boxed{\red{\sf\:x\:=\:Rs\:5000}}}}$

∴ The cost price is Rs. 5000.