Question

A dealer sells an article for Rs75 and gains as much percent as the cost price of the article. Find the cost price of the article.....

Plzzzz answer this question...

Answer 1

SP=75 Rs.
Let the profit% is x%.
So the cost price is x Rs.

Profit= SP- CP
= 75-x Rs.


Profit%= (profit/CP)×100
x= (75-x)/x ×100
x^2= (75-x)×100
x^2 = 7500-100x.
x^2+100x-7500=0.
x^2 + 150x-50x-7500=0.
x(x+150)-50(x+150)=0.
(x-50)(x+150)=0.

Root 1
x-50=0
x=50

Root 2
x+150=0
x=-150 coz the value of x cannot be 0 we'll discard this value.

Hence the cost price is 50Rs
And profit% 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)