Question

Amit bought a sofa set for Rs. 50,220 and paid Rs. 1530 for its transportation. If he sold sofa set for Rs 57960. Find the gain percent made

Answer 1

Solution

Amount of sofa set = Rs. 50220

Amount of transportation = 1,530

Total C.P = 50220 + 1530 = 51750

Selling price of sofa set = Rs. 57960

S.P is greater than C.P

Therefore here is profit

Profit = S.P - C.P

        = 57960 - 51750

        = 6210

Profit Percent = $\dfrac{Profit}{Cost Price}\times100$

                   

                $= \dfrac{6210}{51750}\times100\\\\\\=12\%$

Therefore gain percent = 12%

Answer 2

$\mathfrak{\large{\underline{\underline{\red{Answer :- }}}}}$

The gain % made by Amit is 12%.

$\mathfrak{\large{\underline{\underline{\red{Explanation :-}}}}}$

Given :

Amit bought sofa set for Rs. 50,220

Transportation fees = Rs. 1530

Sold the Sofa for = Rs. 57,960

To find :

The Gain % made

Solution :

Cost Price of the Sofa = Rs. 50,220

Overheads (Transportation) = Rs. 1530

Total Cost Price =

$\implies$ 50,220 + 1,530

$\implies$ 51,750

Cost Price = Rs. 51750

Selling Price = Rs. 57960

Cost Price < Selling Price

$\therefore$ It is a gain.

$\rule{300}{1.5}$

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

$\sf{\implies} \: Gain\% = \dfrac{57960 -51750}{51750} \times 100$

$\sf{\implies} \: Gain\% = \dfrac{6120}{51750} \times 100$

$\sf{\implies} \: Gain\% = \dfrac{612000}{51750}$

$\sf{\implies} \: Gain\% =12\%$

$\therefore$ The gain % made by Amit is 12%.

$\rule{300}{1.5}$

$\mathfrak{\large{\underline{\underline{\red{Verification :-}}}}}$

$\sf{\implies} \: 12\% = \dfrac{57960 -51750}{51750} \times 100$

$\sf{\implies} \: 12\% = \dfrac{6120}{51750} \times 100$

$\sf{\implies} \: 12\% = \dfrac{612000}{51750}$

$\sf{\implies} \: 12\% =12\%$

$\therefore$ The gain % made by Amit is 12%.