By selling 4 articles for 1 rupee, a man losses 4%. Had he sold three articles per rupee, the profit would have been = ?

130%
228%
316%
412%

Answer:- 4

Explanation:-

Solution:

Selling price of 4 article = Rs. 1
Loss = 4%
Cost price of 4 articles

= 1 \times \frac{100}{96} = \frac{100}{96}

${\text{ = 1}} \times \frac{{100}}{{96}} = \frac{{100}}{{96}}$ Cost price of 3 articles

= \frac{100}{96} \times \frac{3}{4} = \frac{75}{96}

${\text{ = }}\frac{{100}}{{96}} \times \frac{3}{4} = \frac{{75}}{{96}}$ New selling price of 3 articles = Rs. 1

\begin{aligned} Profit % \\ = \frac{\frac{1 - 75}{96}}{\frac{75}{96}} \times 100 \\ = \frac{21}{75} \times 100 \\ = 28 % \end{aligned}

$\eqalign{ & {\text{Profit }}\% \cr & = \frac{{\frac{{1 - 75}}{{96}}}}{{\frac{{75}}{{96}}}} \times 100 \cr & = \frac{{21}}{{75}} \times 100 \cr & = 28\% \cr}$

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Cost price of 3 articles

= \frac{100}{96} \times \frac{3}{4} = \frac{75}{96}

${\text{ = }}\frac{{100}}{{96}} \times \frac{3}{4} = \frac{{75}}{{96}}$ New selling price of 3 articles = Rs. 1

\begin{aligned} Profit % \\ = \frac{\frac{1 - 75}{96}}{\frac{75}{96}} \times 100 \\ = \frac{21}{75} \times 100 \\ = 28 % \end{aligned}

$\eqalign{ & {\text{Profit }}\% \cr & = \frac{{\frac{{1 - 75}}{{96}}}}{{\frac{{75}}{{96}}}} \times 100 \cr & = \frac{{21}}{{75}} \times 100 \cr & = 28\% \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "

Solution:

Selling price of 4 article = Rs. 1
Loss = 4%
Cost price of 4 articles