Q. 64.4( 330 Votes )

# A cottage industr

To find: Number of articles produced and cost of each article.

Let the number of articles produced be x.

Therefore, cost of production of each article = Rs (2x + 3)

The total cost of production = Total quantity produced x cost of one article

It is given that the total cost of production is Rs 90.

x (2x + 3) = 90

⇒ 2x+ 3x = 90

⇒ 2x+ 3x – 90 = 0

⇒ 2x2 +15x - 12x-90 =0

⇒ x (2x + 15) - 6(2x + 15) = 0

⇒(2x + 15) (x - 6) = 0

Either 2x + 15 = 0 or x − 6 = 0,

i.e., x = or x = 6

As the number of articles produced can only be a positive integer,

Therefore, x can only be 6.

Hence, the number of articles produced = 6

Cost of each article = 2 × 6 + 3
= 12 + 3
= Rs 15

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