A tradesman gives 4 % discount on marked price and gives 1 book free for buying every 15 books and t

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7.Profit and Loss

hard

A tradesman gives $4 \%$ discount on the marked price and gives $1$ book free for buying every $15$ books and thus gains $35 \% .$ The marked price is increased above the cost price by (appx.) (in $\%$)

A

$40$

B

$3$

C

$50$

D

$20$

Solution

Let $C P$ of each $b o o k=R s .100$

So, $CP$ of $16$ books $=$ $Rs. 1600$

$SP$ of $16$ books $=$ $Rs.$ $1600 \times \frac{135}{100}=$ $Rs. 2160$

$SP$ of $1$ book $=$ $Rs.$ $\frac{2160}{16}=$ $Rs. 135$

$96 \%$ of $MP =$ $Rs.$ $135, \quad MP = Rs .140 .625$

So, $MP$ is increased above the $CP$ by $40.625 \% \approx 40 \%$

Standard 13

Quantitative Aptitude

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