Gujarati
Hindi
7.Profit and Loss
medium

A tradesman gives $4 \%$ discount on the marked price and gives one article free for buying every $15$ articles and thus gains $35 \% .$ The marked price is appox. how much percent above the $CP$?

A

$20$

B

$30$

C

$40$

D

$50$

Solution

Let the $CP$ of each article be $Rs. 100$ Then $CP$ of $16$ articles $=$ Rs. $(100 \times 16)=1600$

$SP$ of $16$ articles $=1600 \times \frac{135}{100}=$ $Rs. 2160$          ($1$ article free)

$SP$ of each article $=\frac{2160}{16}=$ $Rs. 135$ If $SP$ is $Rs. 96,$ marked price $= Rs. 100$ If $SP$ is Rs. $135,$ marked price

$=\frac{100}{96} \times 135=$ $Rs. 140.625$

Therefore marked price $\approx40 \%$ above $CP$

Standard 13
Quantitative Aptitude

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