Question

1. An article is bought for ₹120 and it is sole for ₹150. Find the profit or loss.​

Answer 1

Step-by-step explanation:

C.P. = ₹120

S.P. = ₹150

Profit = S.P. - C.P.

= ₹(150-120)

= ₹30

Answer 2

$\large\sf\underline{Understanding\:the\:question\::}$

In this question we are given the Cost price ( CP ) of an article as Rs 120 and Selling Price ( SP ) as Rs 150 . Clearly as SP is greater than CP there is a profit . So now we are asked to find profit . We will use some simple formula and solve it. Let's begin !

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$\large\sf\underline{Given\::}$

• Cost Price ( CP ) = Rs 120

• Selling Price ( SP ) = Rs 150

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$\large\sf\underline{To\:find\::}$

• If there is profit or loss.

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$\large\sf\underline{Solution\::}$

As S.P > C.P there is some profit oR gain .

We know that ,

$\large\fbox\purple{Profit\:=\:SP\:-\:CP}$

• Substituting the value of CP and SP in the formula

$\sf\implies\:Profit\:=\:Rs\:(150-120)$

$\small{\mathfrak\red{\implies\:Profit\:=\:Rs\:30}}$

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Let's calculate profit percentage also.

We know ,

$\small{\underline{\boxed{\mathrm\purple{Gain\:percentage\:=\:\frac{Profit \times 100}{Cost\: Price}}}}}$

• Substituting the value in the formula

$\sf\implies\:Gain\:percentage\:=\frac{Profit \times 100}{CP}$

$\sf\implies\:Gain\:percentage\:=\frac{30 \times 100}{120}$

$\sf\implies\:Gain\:percentage\:=\frac{3000}{120}$

$\sf\implies\:Gain\:percentage\:=\frac{300\cancel{0}}{12\cancel{0}}$

$\sf\implies\:Gain\:percentage\:=\frac{300}{12}$

$\sf\implies\:Gain\:percentage\:=\cancel{\frac{300}{12}}$

$\small{\mathfrak\red{\implies\:Gain\:percentage\:=\:25\:percent}}$

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!! Hope it helps !!