A cottage industry produces a certain number of pottery articles in a day. It was observed on a particular day that the cost of production of each article (in rupees) was 3 more than twice the number of articles produced on that day. If the total cost of production on that day was Rs.90, find the number of articles produced and the cost of each article.
This is my last question because of my phone gonna be dead so sorry for that I want to go offline now......
Answers
Answer:
we know that
total cost of production =number of articles produced × cost of article
given total cost of production =rs 90
and
cost of production of each article was three more than twice the number of articles produced on that day
Let the number of articles =x
hence cost of article = 2x +3
now!
total cost of production =number of article produce × cost of article
90=x(2x+3)
x(2x+3)=90
x(2x)+3x=90
2x^2+3x=90
2x^2+3x-90=0
we factorize using spitting the middle term method
2x^2+15x-12x-90=0
x(2x+15)-6(2x+15)=0
(x-6)(2x+15)=0
so we got two solutions
the 2 values of x are
1st
solution =x-6=0
x=6(no.of articles)
cost of articles =(2x+3)
=12+3
=15rupees
Answer:
Given: The total cost of production= Rs.90
Let the number of pottery articles produced be x.
Therefore, cost of production of each article = Rs (2x + 3)
the total cost of production = no. of pottery articles produced × cost of production
A.T.Q
90.= x(2x + 3) = 0
⇒ 2x²+ 3x – 90 = 0
⇒ 2x² + 15x -12x – 90 = 0
⇒ x(2x + 15) -6(2x + 15) = 0
⇒ (2x + 15)(x – 6) = 0
Now 2x+15=0 ⇒2x= - 15
⇒x= -15/2
⇒x – 6 = 0
⇒x=6
⇒ x = -15/2 or x = 6
As the number of articles produced can only be a positive integer, therefore, x can only be 6.
Hence, number of articles produced = 6
Cost of each article = 2 × 6 + 3 = Rs 15.
--------------------------------------------------------------------------------------------------
Hope this will help you....
4.7
371 votes
THANKS
508
Comments Report
Let
in a day number of airticle produced = x
cost of every produced = ( 2x + 3 ) rupees
A/Q
x ( 2x + 3 ) = 90
=> 2x² + 3x - 90 = 0
=> 2x² - 12x + 15x - 90 = 0
=> 2x ( x - 6 ) + 15 ( x - 6 ) = 0
=> ( x - 6 ) ( 2x + 15 ) = 0
Either
x - 6 = 0 or 2x + 15 = 0
=> x = 6 => 2x = - 15
=> x = -15/2 ( impossible)
so , in a day number of produced is 6
.and Cost of every produced is ( 2 × 6 ) + 3 = 15