A trader gives 5% discount on the marked price of an article and gives 2 articles free for buying 14 articles and gains 33% in the entire transaction. Assuming a customer pays for 14 articles, the marked price of an article is what per cent more than its cost price?

Correct option is D

Given:

Discount given by trader = 5%

Trader given 2 articles free on buying 14 articles

Gain in entire transaction = 33%

Formula Used:

Discount $$= \frac{Discount \ Percent}{100} \times Marked\ Price$$​​

Selling Price = Marked Price - Discount

Profit = SP - CP

Profit Percent =$$\frac{Profit}{CP} \times 100$$​​

Solution:

Let the cost price of one article be 100

Then cost price of 16 articles = 1600

Trader earns a profit of 33%

Then selling price of 14 articles =$$\frac{133}{100} \times 1600 =₹2128$$​​

SP of each article =$$\frac{2128}{14 }= ₹152$$​​

There is a 5% discount

Hence

For a selling price of ₹95 the marked price will be 100

If selling price is ₹152 then marked price =$$\frac{100}{95} \times 152 = ₹160$$​​

Hence marked price is 160-100 = 60₹ or 60% above cost price