Question

A dealer sells an article for rs75 and gain as much percent as the cost price of the article. find the CP of the article

Answer 1

Answer:

50

Step-by-step explanation:

Given, selling price of the article = 75.

Let the cost price of the article = x.

∴ Gain% = x%.

∴ Gain% = [(SP - CP)/CP] * 100

⇒ x = [(75 - x)/x] * 100

⇒ x² + 100x - 7500 = 0

⇒ x² + 150x - 50x - 7500 = 0

⇒ x(x + 150) - 50(x + 150) = 0

⇒ (x + 150)(x - 50) = 0

⇒ x = 50, -150{∵Cost cannot be negative, x≠-150}.

⇒ x = 50.

Therefore, Cost price of the article is 50.

Hope it helps!

Answer 2

We know sp 75 so let c.p =x then,

set question term={sp-cp×100/cp=profit%}

Set=(75-x)×100/x=x

Set=7500-100x=(x)™

Set euation way=x™+100x-7500

Factor find =7500=150,50

Sine +-=-+ so 50 (ans)