X sells two articles for Rs., 4,000 each with no loss and no gain in interaction. If one was sold at

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7.Profit and Loss

medium

$X$ sells two articles for $Rs.\, 4,000$ each with no loss and no gain in the interaction. If one was sold at a gain of $25 \%$ the other is sold at a loss of........$\%$

$25$

$18 \frac{2}{9}$

$16 \frac{2}{3}$

$20$

Solution

$S.P.$ of both the articles is same here. So, profit on one article is equal to the loss on the other. Let the loss $\%$ be $x,$ then $\Rightarrow 25-x-\frac{25 x}{100}=0$

$\Rightarrow \frac{2500-100 x-25 x}{100}=0$

$\Rightarrow \frac{2500-125 x}{100}=0$

$\Rightarrow 2500-125 x=0$

$\Rightarrow \quad-125 x=-2500$

$\Rightarrow x=\frac{-2500 x}{-125}$

$\Rightarrow \quad x=20$

Standard 13

Quantitative Aptitude

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hard

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hard

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medium

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medium

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medium

$X$ sells two articles for $Rs.\, 4,000$ each with no loss and no gain in the interaction. If one was sold at a gain of $25 \%$ the other is sold at a loss of........$\%$

Solution

Similar Questions

A shopkeeper loses $7 \%$ by selling a cricket ball for $Rs.\,31.$ For how much should he sell the ball so as to $\operatorname{gain} 5 \% ?$ (in $Rs.$)

On selling $17$ balls at $Rs.\, 720$, there is a loss equal to the cost price of 5 balls. The cost price of a ball is (in $Rs.$)

A plate was sold for $Rs.\,6,300$ after giving two successive discounts of $12^{1 / 2} \%$ and $10 \% .$ Find the marked price. (in $Rs.$)

By selling an article for $Rs$ $384,$ a trader gains $20 \%$. Find the cost price of article.

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