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The cost price of y articles is equal to selling price of z articles. If y : z =5 : 4, what is the profit percentage?
Question

The cost price of y articles is equal to selling price of z articles. If y : z =5 : 4, what is the profit percentage?

A.

20%

B.

25%

C.

30%

D.

40%

Correct option is B

Given:

The cost price of y articles is equal to the selling price of z articles.

y ∶ z = 5 ∶ 4

Concept Used:

Profit Percentage = (Profit / Cost Price) × 100

Solution:

Let the cost price of each article be C and the selling price of each article be S.

Given that the cost price of y articles is equal to the selling price of z articles:

=> yC = zS

Given y ∶ z = 5 ∶ 4, we can write:

=> 5C = 4S

=> S = (5/4)C

Profit per article = Selling Price - Cost Price

=> Profit = S - C

=> Profit = (5/4)C - C

=> Profit = (5C - 4C)/4

=> Profit = C/4

Profit Percentage = (Profit / Cost Price) × 100

=> Profit Percentage = (C/4C) × 100

=> Profit Percentage = (1/4) × 100

=> Profit Percentage = 25%

Hence, the correct answer is option b.

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