Question

the cost of 15 articles is equal to selling price of 12 articles find the profit percentage
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Answer 1

Statement of the given problem,

The cost price of 15 articles is equal to the selling price of 12 articles. What is the gain percentage?

Let C & S denote the cost-price & the sell-price respectively of an article.

Hence from above data we get as follows,

12*S = 15*C

or S = (5/4)*C = (1 + 1/4)*C

or S = (1 + 25/100)*C ….. (1)

Therefore from (1) it is evident that

the gain percentage = 25% [Ans]

Answer 2

Answer:

let c.p. of one article be x

c.p. of 15 article = 15x

s.p. of 12 article = c.p. of 15 article = 15x

s.p. of 1. article = 15x/12 =5x/4

$gain = sp - cp \\ = \frac{5x}{4} - x \\ = \frac{x}{4}$

$gain\% = (\frac{gain}{cp}) \times 100\% \\ = \frac{ \frac{x}{4} }{x} \times 100\% \\ = \frac{x}{4} \times \frac{1}{x} \times 100\% \\ = 25\%$