Question

a watch brought 550 was sold 627 percantage of profit solve​

Answer 1

$\underline{ \underline{ \Large \pmb{\sf { {Given:}} }} }$

• Cost price of the watch = Rs. 550

• Selling price of the watch = Rs. 627

$\underline{ \underline{ \Large \pmb{\sf { {To \: calculate:}} }} }$

• Profit %

$\underline{ \underline{ \Large \pmb{\sf { {Calculation:}} }} }$

✰ In order to find the profit %, we have to find how much profit here he/she has gained. And , in order to find the profit, we'll compare selling price and cost price. As it is given that here is profit , so we'll find profit by subtracting cost price from selling price. Then by using the formula to find the percentage of profit, we'll find the profit %.

⠀⠀⠀⠀⠀_____________

As,here is

» Selling price > Cost price

So, here is profit.

Let's calculate how much profit he/she has gained before calculating profit %. As we know that,

$\bigstar \: \boxed{\sf { Profit = Selling \: Price - Cost \: Price}}$

$\longrightarrow \sf {Profit = Rs. \: ( 627 - 550) }$

$\underline{\boxed{\sf{Profit = Rs. \: 77 }}} \: \red{\bigstar}$

Now, let's find out profit %. We know that,

$\bigstar \: \boxed{\sf {Profit \: \% =\Bigg( \dfrac{Profit}{C.P} \times 100 \Bigg)\% }}$

$\longrightarrow \sf{Profit \: \% =\Bigg( \dfrac{77}{550} \times 100 \Bigg)\% }$

$\longrightarrow \sf{Profit \: \% =\Bigg( \dfrac{7}{50} \times 100 \Bigg)\% }$

$\longrightarrow \sf{Profit \: \% =\Bigg( \dfrac{7}{5} \times 10 \Bigg)\% }$

$\longrightarrow \sf{Profit \: \% =( 7\times 2 )\% }$

$\longrightarrow \boxed {\pmb{\rm \red{Profit \: \% =14\%} }}$

Therefore, profit % is 14 %.

$\underline{ \underline{ \Large \pmb{\sf { {More \: related \: formulae!}} }} }$

• Gain = S.P – C.P

• Loss = C.P – S.P

• $\rm { Gain \: \% = \Bigg( \dfrac{Gain}{C.P} \times 100 \Bigg)\%}$

• $\rm { Loss \: \% = \Bigg( \dfrac{Loss}{C.P} \times 100 \Bigg)\%}$

• $\rm { S.P = \dfrac{100+Gain\%}{100} \times C.P}$

• $\rm { C.P =\dfrac{100}{100+Gain\%} \times S.P}$

• $\rm { S.P = \dfrac{100-loss\%}{100} \times C.P}$

• $\rm { C.P =\dfrac{100}{100-loss\%} \times S.P}$