Syntel Company Numerical Ability Profit and Loss

What is the maximum percentage discount that a merchant can offer on her Marked Price so that she ends up selling at no profit or loss, if she had initially marked her goods up by 50%?

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The merchant had initially marked her goods up by 50%.

Let us assume that her cost price of the goods to be $ 100.

Therefore, a 50% mark up would have resulted in her marked price being $100 + 50% of $100 = $100 + $50 = $150.

The question states that she finally sells the product at no profit or loss. This essentially, means that she sells the product at cost price, which in this case would be $100.

Therefore, she had offered a discount of $50 on her marked price of $150.

Hence, the % discount offered by her = 50/150 * 100 = 33.33%.
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Syntel Other Question

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? By selling an article at 80% of its marked price, a merchant makes a loss of 12%. What will be the % profit made by the merchant if he sells the article at 95% of its marked price?