Question

A tradesman gives 4% discount on the marked price and gives 1 article free for buying every 15 articles and thus gains 35%. the marked price is increased above the cost price by

Answer 1

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 = 96/16 = 6.
Therefore total discount = 4 + 6 = 10%
Now his gain is 35%
If the selling price is 90 the cost price,
= (100/135)*90 = 200/3
Hence, Extra mark price,
= 100 - 200/3 = 100/3
Thus % increase on 100 = (100/3)*(3/200)*100 = 50%

Answer 2

Answer:

The marked price is increased above the cost price by 50%.

Step-by-step explanation:

Given : A tradesman gives 4% discount on the marked price and gives 1 article free for buying every 15 articles and thus gains 35%.

To find : The marked price is increased above the cost price by ?

Solution :

Let the marked price be 100.

A tradesman gives 4% discount on the marked price .

i.e. The price after discount is 100-4=96

He gives 1 article free on buying of 15 articles;

i.e. discount of 1 on every set of 16.

Discount on price after discount is $\frac{96}{16}=6$

Total discount = 4 + 6 = 10%

His gain is 35%.

If the selling price is 90 the cost price,

$SP= \frac{100}{135}\times 90$

$SP= \frac{200}{3}$

Extra marked price became $100-\frac{200}{3}=\frac{100}{3}$

Thus % increase on 100 is given by,

$I= (\frac{100}{3})\times (\frac{3}{200})\times 100 = 50%$

Therefore,  the marked price is increased above the cost price by 50%.