Question

A vendor buys an item at Rs 600 and the sells it at Rs 720.calculate the profit percentage earned by the vendor

Answer 1

Answer:

vendor earned rupees 120 profit after selling item

Step-by-step explanation:

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Answer 2

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

➢ Given that

• Cost Price of an item = Rs 600

• Selling Price of an item = Rs 720

So, it implies

➢ Selling Price > Cost Price,

Hence,

• There is Profit in this transaction.

We know,

$\underbrace{\boxed{\bf{ Profit = Selling Price - Cost Price}}}$

So,

$\rm :\longmapsto\:Profit = 720 - 600$

$\bf\implies \:Profit = Rs \: 120$

Further,

We know,

${\boxed{\bf{ Profit \: \% \: = \dfrac{Profit}{Cost \: Price} \times 100 \: \%}}}$

So, on substituting the values in above formula, we get

$\rm :\longmapsto\:Profit\% = \dfrac{120}{600} \times 100\%$

$\bf\implies \:Profit\% = 20\%$

Additional Information :-

Let us take one example!!

Question :- A vendor buys an item at Rs 1000 and the sells it at Rs 800. Calculate the profit or loss percentage earned by the vendor.

Solution :-

➢ Given that

• Cost Price of an item = Rs 1000

• Selling Price of an item = Rs 800

So, it implies

➢ Cost Price > Selling Price,

Hence,

• There is Loss in this transaction.

We know,

$\underbrace{\boxed{\bf{ Loss = Cost Price - Selling Price}}}$

So,

$\rm :\longmapsto\:Loss = 1000 - 800$

$\bf\implies \:Loss \: = \: Rs \: 200$

We know,

${\boxed{\bf{ Loss \: \% \: = \dfrac{Loss}{Cost \: Price} \times 100 \: \%}}}$

$\rm :\longmapsto\:Loss\% = \dfrac{200}{1000} \times 100\%$

$\bf\implies \:Loss\% = 20\%$

$\begin{gathered}\: \: \: \: \: \: \begin{gathered}\begin{gathered} \footnotesize{\boxed{ \begin{array}{cc} \small\underline{\frak{\pmb{ \red{More \: Formulae}}}} \\ \\ \bigstar \: \bf{Gain = \sf S.P. \: – \: C.P.} \\ \\ \bigstar \:\bf{Loss = \sf C.P. \: – \: S.P.} \\ \\ \bigstar \: \bf{Gain \: \% = \sf \Bigg( \dfrac{Gain}{C.P.} \times 100 \Bigg)\%} \\ \\ \bigstar \: \bf{Loss \: \% = \sf \Bigg( \dfrac{Loss}{C.P.} \times 100 \Bigg )\%} \\ \\ \\ \bigstar \: \bf{S.P. = \sf\dfrac{(100+Gain\%) (or) (100 - Loss\%)}{100} \times C.P.} \\ \: \end{array} }}\end{gathered}\end{gathered}\end{gathered}$