Question

A flower seller purchases roses at Rs. 96 a dozen and sells them at Rs 10 per flower. What is the profit percent of the flower seller?

Answer 1

Hint: We first find the cost price of 1 rose and its profit value. Then using the profit and cost price, we get the profit percentage where the ratio of profit and cost price multiplied by 100 gives the solution.

Complete step-by-step answer:
The cost price for 1 dozen i.e., 12 roses is Rs. 96. This means the cost of 1 rose is $ \dfrac{96}{12}=8 $ Rs.
The selling price of 1 rose is Rs. 10. This means the profit for each rose is $ 10-8=2 $ .
We have to find the profit percent. We assume that profit is x%.
The fraction is the respective ratio of two numbers. We find the value of the numerator with respect to the denominator of the fraction.
In the case of percentage, we need to convert the denominator of the fraction into 100.
The numerator of the fraction with denominator being 100 will be the solution of the problem.
Now x percent of 8 is 2. Forming the mathematical expression, we get $ 8\times \dfrac{x}{100}=2 $ .
We now solve the equation to get
 $
  8\times \dfrac{x}{100}=2 \\
  \Rightarrow x=2\times \dfrac{100}{8} \;
 $
We complete the multiplication and get $ x=2\times \dfrac{100}{8}=25 $ .
Therefore, the profit percentage is 25.
So, the correct answer is “25%”.

Note: The value of the fraction is actually the unitary value of x out of 100. Therefore, in percentage value we got $ \dfrac{500}{21} $ as the percentage. Percentage deals with the ratio out of 100. The ratio value for both fraction and percentage is the same.