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 Question 4 the day - Profit & Loss

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GMAT Test Syllabus

Profit & Loss
December 15, 2003

A merchant who marked his goods up by 50% subsequently offered a discount of 20%. What is the percentage profit that the merchant make after offering the discount?

(1)30%
(2)125%
(3)25%
(4)20%
(5)Insufficient data

Correct Answer Choice (2)



Solution:
The easiest way to solve these kinds of problems is to assume a cost price for the merchant.

To make calculations easy, let us assume that the cost price = $100

The merchant marks his goods up by 50%.
Therefore, his quoted price = cost price + mark up
= $100 + 50% of $100 = 100 + 50 = $150

Now, the merchant offers a discount of 20% on his quoted price
Therefore, amount of discount = 20% of $150 = 20% of 150 = $30

Therefore, he finally sells it for $150 – $30 = $ 120.

We assumed his cost to be $ 100 and he sold it finally for $ 120.
Therefore, his net profit = $ 20 on his cost of $ 100
Hence, his % profit = = 20%.
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