Question

By selling an article for rs 3300 a person gains 1/12 of his cost price.If the sells it for rs 3360 , then what is his gain percentage​

Answer 1

The percentage gain will be 10.3%

Step-by-step explanation:

If the cost price of the article is x, then by selling it for Rs. 3300 a person gains 1/12 of his cost price.

So, $x + \frac{x}{12} = 3300$

⇒ $\frac{13x}{12} = 3300$

⇒ x = Rs. 3046.154

Now, if the article sells for Rs. 3360, then the percentage gain will be  

$\frac{(3360 - 3046.154)}{3046.154} \times 100$%

= 10.3% (Answer)

Answer 2

Given: Selling an article for $Rs\ 3300$ a person gains $\frac{1}{12}$ of his cost price.

To Find: If the sells it for$Rs\ 3360$ then what is his gain percentage​.

Step-by-step explanation:

Lets,

The cost of the articles is $Rs\ x$

∴ $\frac{1}{12}$ of $x$ is,

$=\frac{1}{12}\times x$

$=\frac{x}{12}$

Selling an article for $Rs\ 3300$ a person gains $\frac{1}{12}$ of his cost price.

Then,

        $x+\frac{x}{12}=3300$

     ⇒$13x=3300\times 12$

     ⇒$x=\frac{3300\times 12}{13}$

     ∴ $x=3046.154$

∴ The cost of the articles is $Rs\ 3046.154$

Now,

       If the sells it for$Rs\ 3360$ then his percentage gain is,

         $=\frac{(3360 - 3046.154)}{3046.154} \times 100$%

         ​$=\frac{313.846}{3046.154}\times 100$

         $=\frac{31384.6}{3046.154}$

         $=10.3$%

Therefore, His gain of percentage is $10.3$%