Question

The cost price is Rs. 250 and selling price is Rs. 300 the profit percentage is _______.
A) 10%
B) 12%
C) 18%
D) 20%​

Answer 1

Required Answer:-

Percentage is way in which we can calculate a change. Always remember that! How much change has happened in the final value as compared to the initial value? We can use percentage to compare them out of 100.

Formula required:

Profit percentage:

$\small{ \dag{ \boxed{ \tt{profit \: \% = \frac{selling \: price - cost \: price}{cost \: price} \times 100}}}}$

Since, Selling price > Cost price when there is a profit. Now, just put the values and get the answer.

➙ Profit % = Rs. 300 - Rs. 250 / Rs. 250 × 100

➙ Profit % = Rs. 50 / Rs. 250 × 100

➙ Profit % = 20 %

The required profit percentage for the above given SP and CP is 20 % (Ans)

Answer 2

Answer :-

$\qquad\pink{\bigstar}$ Profit % $\leadsto\:{\boxed{\tt{\blue{20\:\%}}}}$

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• Given :-

• Cost price (C.P) = Rs. 250

• Selling price (S.P) = Rs. 300

• To Find :-

• Profit % = ?

• Solution :-

• We clearly know that profit % is given by :-

$\pink{\bigstar}\:{\underline{\boxed{\bf{\green{Profit\:\% = \bigg\lgroup\dfrac{S.P - C.P}{C.P}\bigg\rgroup\:\times\:100}}}}}$

⌬ Putting all known values :-

➪ $\sf Profit\:\% = \bigg\lgroup\dfrac{300 - 250}{250}\bigg\rgroup\:\times\:100$

➪ $\sf Profit\:\% = \dfrac{50}{\cancel{250}}\:\times\:\cancel{100}\:(Cancelling)$

➪ $\sf Profit\:\% = \dfrac{50}{50}\:\times\:20$

➪ $\sf Profit\:\% = {\cancel{\dfrac{50}{50}}}\:\times\:20\:(Cancelling)$

$\bigstar\:\underline{\underline{\bf{\red{Profit\:\% = 20\:\%}}}}$

• More to know :-

$\bigstar\:{\underline{\mathscr{Profit\:and\:loss\:formulas\::-}}}$

$\pink{\bigstar}\:\tt Profit \:\leadsto\:{\boxed{\bf{\blue{S.P - C.P}}}}$

$\pink{\bigstar}\:\tt Loss \:\leadsto\:{\boxed{\bf{\blue{C.P - S.P}}}}$

$\pink{\bigstar}\:\tt Profit\:\% \:\leadsto\:{\boxed{\bf{\blue{\dfrac{Profit\:\times\:100}{C.P}}}}}$

$\pink{\bigstar}\:\tt Loss\:\% \:\leadsto\:{\boxed{\bf{\blue{\dfrac{Loss\:\times\:100}{C.P}}}}}$

$\pink{\bigstar}\:\tt S.P \:\leadsto\:{\boxed{\bf{\blue{\bigg\lgroup\dfrac{100 + Profit\:\%}{100}\bigg\rgroup\:\times\:C.P}}}}$

$\pink{\bigstar}\:\tt S.P \:\leadsto\:{\boxed{\bf{\blue{\bigg\lgroup\dfrac{100 - Loss\:\%}{100}\bigg\rgroup\:\times\:C.P}}}}$

$\pink{\bigstar}\:\tt C.P \:\leadsto\:{\boxed{\bf{\blue{\bigg\lgroup\dfrac{100}{100 + Profit\:\%}\bigg\rgroup\:\times\:S.P}}}}$

$\pink{\bigstar}\:\tt C.P \:\leadsto\:{\boxed{\bf{\blue{\bigg\lgroup\dfrac{100}{100 - Loss\:\%}\bigg\rgroup\:\times\:S.P}}}}$

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