The CP of 19 articles is equal to the selling | vedclass

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Question

(D) Given that the $CP$ of $19$ articles is equal to the $SP$ of $15$ articles.Let the $CP$ of $1$ article be $x$.Then,$CP$ of $19$ articles $= 19x$.$

Vedclass · Accepted Answer

$26 \frac{2}{3}\%$

Vedclass · Answer

(D) Given that the $CP$ of $19$ articles is equal to the $SP$ of $15$ articles.Let the $CP$ of $1$ article be $x$.Then,$CP$ of $19$ articles $= 19x$.$SP$ of $15$ articles $= 19x$.$SP$ of $1$ article $= \frac{19x}{15}$.Gain $= SP - CP = \frac{19x}{15} - x = \frac{4x}{15}$.Gain $\% = \left( \frac{	ext{Gain}}{CP} 	imes 100 ight) = \left( \frac{4x/15}{x} 	imes 100 ight) = \frac{4}{15} 	imes 100 = \frac{400}{15} = \frac{80}{3} = 26 \frac{2}{3}\%$.

The $CP$ of $19$ articles is equal to the selling price $(SP)$ of $15$ articles. What is the gain percentage?

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