SOLUTION: A salesperson bought an item for Tk. X and marked it up 50%. However, he could not sell the item during the first quarter and thus decided to provide a discount of 20% on the marke

Question 1195858: A salesperson bought an item for Tk. X and marked it up 50%. However, he could not sell the item during the first quarter and thus decided to provide a discount of 20% on the marked price. As the item remained unsold in the second quarters as well, he started to charge 70% of the discount value. What is the latest sales price of the item in terms of its buying price?
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
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A salesperson bought an item for Tk. X and marked it up 50%.
However, he could not sell the item during the first quarter and thus decided
to provide a discount of 20% on the marked price.
As the item remained unsold in the second quarters as well, he started
to charge 70% of the discount value.
What is the latest sales price of the item in terms of its buying price?
~~~~~~~~~~~~~~~

Let "p" be the bying price.

Then the marked price was 1.5p.


After 20% discount on the marked place the price was 0.8*1.5p = 1.2p.


When the salesperson started charging 70% of the discount value, the latest 
sales price was 0.7*1.2p = 0.84p.


ANSWER.  The latest sales price was 0.84p, in terms of buying price.

Solved.

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On chains of discounts, see the lesson
- Percentage problems on chains of discounts
in this site.

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