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.