a man spent 2800 on buying a number of plants priced at x each because of the number - Maths - Quadratic Equations

Question

a man spent ?2800 on buying a number of plants priced at ?x each
because of the number involved the supplier reduced the price of
each plant by one rupee the man finally paid ?2730 and recieved 10
more plants find x

Shruti Tyagi · Accepted Answer

Dear Student,

Price of each plant is x
number of plants bought in case 1=total money spentprice of one plant=2800xnow the shopkeeper reduced the price by 1 rupee, hence new price per plant=x-1total number of plants=2730x-1but it is given that now number of pants bought is 10 more than earlierhence 2730x-1-2800x=10⇒2730x-2800x+2800xx-1=10⇒2800-70x=10x2-x⇒280-7x=x2-x⇒x2-x+7x-280=0⇒x2+6x-280=0⇒x2+20x-14x-280=0⇒xx+20-14x+20=0⇒x-14x+20=0x=14 or x=-20neglecting the negative value as number of plants can not be negativehence x=14

Regards,

a man spent ?2800 on buying a number of plants priced at ?x each.because of the number involved the supplier reduced the price of each plant by one rupee.the man finally paid ?2730 and recieved 10 more plants.find x.