Given :-
- An article is bought for rs. 675 and sold for rs. 900
To Find :-
- What is the gain percent ?
Formulas Used :-[tex] \bigstar \: \boxed{ \pmb {Gain \: = \: Selling \: price - Cost \: price}} \: \bigstar[/tex]
[tex] \bigstar \: \boxed{ \pmb {Gain\% \: = \: \frac{Profit}{Cost \: price } \times 100}} \: \bigstar[/tex]
Solution :-An article is bought for rs. 675 and sold for rs. 900
Here,
Selling price = 900
Cost price = 675
We know that,
[tex] \bigstar \: \pmb {Gain \: = \: Selling \: price - Cost \: price} \: \bigstar[/tex]
So,
[tex] \: \implies \: \: \pmb {Gain \: = \: 900 -675} \: [/tex]
[tex] \: \implies \: \: \pmb {Gain \: = \: \underline {225}} \: [/tex]
We also know that,
[tex] \displaystyle \bigstar \: \pmb {Gain\% \: = \: \frac{Profit}{Cost \: price } \times 100} \: \bigstar[/tex]
According to the question by using this formula we get,
[tex]\displaystyle \: \implies \: \: \pmb {Gain\% \: = \: \frac{225}{675 } \times 100}[/tex]
[tex]\displaystyle \: \implies \: \: \pmb {Gain\% \: = \: \cancel \frac{225}{675 } \times 100}[/tex]
[tex]\displaystyle \: \implies \: \: \pmb {Gain\% \: = \: \frac{0.36}{1} \times 100}[/tex]
[tex]\displaystyle \: \implies \: \: \pmb {Gain\% \: = \: {0.36}\times 100}[/tex]
[tex]\displaystyle \: \implies \: \: \red{ \pmb {Gain\% \: = \: 36}}[/tex]
Hence,
[tex] \boxed{ \therefore\pmb { The \: gain \: percent \: of \: an \: article \: is \: 36\% }}[/tex]
[tex] \: [/tex]