A man gives $4 %$ discount on marked price and gives $1$ article free for buying every $15$ articles and gains $35$ percent. The marked price is increased above the cost price by (in percent)

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Solution

Let the marked price $= 100$
This price after discount of $4 % = 100 - 4 = 96$
But again he gives 1 article free on buying of 15 articles ; means discount of 1 on every set of 16.
Therefore, discount on 96 $= \frac{96}{16} = 6$
Therefore, total discount $= 4 + 6 = 10 %$
Now his gain is $35 %$
If the selling price is $90$ the cost price,
$= \frac{100}{135} \times 90 = \frac{200}{3}$
Hence, extra mark price,
$= 100 - \frac{200}{3} = \frac{100}{3}$
Thus % increase on $100 = \frac{100}{3} \times \frac{3}{200} \times 100 = 50 %$

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A man gives 4% discount on marked price and gives 1 article free for buying every 15 articles and gains 35 percent. The marked price is increased above the cost price by (in percent)

A man gives $4 %$ discount on marked price and gives $1$ article free for buying every $15$ articles and gains $35$ percent. The marked price is increased above the cost price by (in percent)