Question

if the cost prices of bag is 280 and profit is 18%then find its selling price ​

Answer 1

sp=p+100×cp÷100

=18+100×280÷100

=504 is sp

Answer 2

$\textbf{\underline{\underline{Answer :-}}}$

The Selling Price of the bag is Rs.330.4

$\textbf{\underline{\underline{Explanation :-}}}$

Given:

Cost price of the bag = Rs.280

Profit % = 18%

To find :

The Selling Price of the bag

Solution :

As we know,

${\boxed{\sf\:{SP = \frac{100 + Profit\%}{100} \times Cost \: Price}}}$

$\sf{\implies \: SP = \dfrac{(100 + 18)}{100} \times 280}$

$\sf{\implies \: SP = \dfrac{118}{100} \times 280}$

$\sf{\implies \: SP = \dfrac{118}{10\cancel0} \times 28{\cancel{0}}}$

$\sf{\implies \: SP = \dfrac{118}{10} \times 28}$

$\sf{\implies \: SP = \dfrac{3304}{10}}$

$\sf{\implies \: SP = 330.4}$

${\boxed{\sf\:{\bigstar \: {Selling \: Price = Rs.330.4}}}}$

$\therefore$The Selling Price of the bag is Rs.330.4

$\textbf{\underline{\underline{Verification :-}}}$

As we got the Selling Price, we will verify it by solving for the profit %

Profit % =

${\boxed{\sf\:{profit\% = \frac{SP - CP}{CP} \times 100}}}$

${\sf\:{\implies18\% = \dfrac{330.4 - 280}{280} \times 100}}$

${\sf\:{\implies18\% = \dfrac{50.4}{280} \times 100}}$

${\sf\:{\implies18\% = \dfrac{5040}{280}}}$

${\sf\:{\implies18\% = 18}}$

${\boxed{\sf\:{18\% = 18\%}}}$

${\boxed{\sf\:{LHS = RHS}}}$

$\therefore$The Selling Price of the bag is Rs.330.4