Question

a man spend RS 2800 on buying a number of plants priced at RS x each because of the number involved the supplier reduced the price of each plant by RS 1 . the man finally paid RS 2730 and received 10 more plants.find x​

Answer 1

.we get two ans or 14 and -20. Answer would be 14

Answer 2

The value of x = 14

Step-by-step explanation:

Let no. of plants = p

Price per plant = x

Total price of plants

⇒ p x = 2800 ------- (1)

If the price of the plant is reduced by RS 1 then the person can by 10 more plants in 2730 rupees.

⇒ (p + 10) (x - 1) = 2730 ----- (2)

⇒ p x  + 10 x - p - 10 = 2730

Put the value of p x from equation (1) we get,

⇒ 2800 + 10 x - p - 10 = 2730

⇒ p - 10 x = 60

⇒ p = 10 x + 60 ------ (3)

Put the value of p from equation (3) to equation (1)

⇒ (10 x + 60) x = 2800

⇒ 10 $x^{2}$ + 60 x - 2800 = 0

⇒ $x^{2}$ + 6 x - 280 = 0

⇒ $x^{2}$ + 20 x - 14 x - 280 = 0

⇒ x (x + 20) - 14 ( x + 20 ) = 0

⇒ (x + 20) (x - 14) = 0

⇒ x = 14

Thus the value of x = 14