Question

The selling of 11 articles is equal to the cost price of 10 articles find profit or loss

Answer 1

$\mathfrak{Answer:}$

Loss = 9 1/11 % .

$\mathfrak{Step-by-Step\;Explanation:}$

$\underline{\bold{Given\;in\;the\;Question:}}$

• The selling price of 11 articles is equal to the cost price of 10 articles.

Let the selling price of 11 articles be Rs.x .

So

• Sp of 1 article :

$\bold{=Rs.\dfrac{x}{11}.}$

Cost Price of 10 articles = Sp of 11 articles = Rs.x.

So

• Cp of 1 article :

$\bold{=Rs.\dfrac{x}{10}.}$

Cost price of 1 article > Selling price of 1 article.

$\boxed{\bold{Loss=Cost\;price\;-\;Selling\;price.}}\\\\\\\tt{=\dfrac{x}{10}-\dfrac{x}{11}}\\\\\\\tt{=\dfrac{11x-10x}{110}}\\\\\\\tt{=Rs.\dfrac{x}{110}}.$

$\boxed{\bold{Loss\%=\dfrac{Loss\times 100}{Cost\;price}}}\\\\\\\tt{=\dfrac{\frac{x}{110}\times100}{\frac{x}{10}}}\\\\\\\tt{=\dfrac{100}{11}}\\\\\\\tt{=9\dfrac{1}{11}\%.}\\\\\\\\\boxed{\boxed{\bold{Loss=9\dfrac{1}{11}\%.}}}$

Answer 2

The selling price of 11 articles is equal to the cost price of 10 articles.

Let the selling price of 11 articles be Rs.x .

So

Sp of 1 article :

$\bold{=Rs.\dfrac{x}{11}$=Rs.

.

Cost Price of 10 articles = Sp of 11 articles = Rs.x.

So

Cp of 1 article :

$\bold{=Rs.\dfrac{x}{10}.}[tex]=Rs. </p><p></p><p></p><p>Cost price of 1 article > Selling price of 1 article.</p><p></p><p>[tex]\begin{lgathered}\boxed{\bold{Loss=Cost\;price\;-\;Selling\;price.}}\\\\\\\tt{=\dfrac{x}{10}-\dfrac{x}{11}}\\\\\\\tt{=\dfrac{11x-10x}{110}}\\\\\\\tt{=Rs.\dfrac{x}{110}}.\end{lgathered}$

$\begin{lgathered}\boxed{\bold{Loss\%=\dfrac{Loss\times 100}{Cost\;price}}}\\\\\\\tt{=\dfrac{\frac{x}{110}\times100}{\frac{x}{10}}}\\\\\\\tt{=\dfrac{100}{11}}\\\\\\\tt{=9\dfrac{1}{11}\%.}\\\\\\\\\boxed{\boxed{\bold{Loss=9\dfrac{1}{11}\%.}}}\end{lgathered}$