Question

Incorrect Answer

By what percent should the cost price of an article be marked up such that even after allowing a discount of 50%, a profit of 50% is made?​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Therefore The Cost Price should be marked with an increase of 200% to get a profit of 50% even after allowing a discount of 50%.

Given:

Discount Allowed = 50%

Profit to be made = 50%

To Find:

Percentage increase in Cost Price of the article to be Marked up such that after allowing a discount of 50%, a profit of 50% to be made = Marked Price =?

Solution:

We can simply solve this numerical problem by using the following process.

Let the Marked Price = MP

Let the Cost Price = CP

If a Profit of 50% is made on Cost Price, it becomes 1.5CP.

Now the Marked Price after allowing a discount of 50% becomes equal to 1.5CP.

⇒ 0.5MP = 1.5CP

⇒ MP = 1.5/0.5 CP

⇒ MP = 3CP

Hence percentage increase in the Cost Price to get the Marked Price is given by,

⇒ Percentage change in CP = ( MP - CP )/CP × 100

⇒ Percentage change in CP = ( 3CP - CP )/CP × 100

⇒ Percentage change in CP = ( 2CP )/CP × 100

⇒ Percentage change in CP = 200

Therefore The Cost Price should be marked with an increase of 200% to get a profit of 50% even after allowing a discount of 50%.

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