Question

.If the cost of bananas is increased
by 10rs per dozen,one can get
3 dozen less for 600rs.Find the
original cost of one dozen of
bananas.

Answer 1

Answer:

Rs. 40

Step-by-step explanation:

Let 'x' be the cost per dozen of banana

We will get 600/x dozen bananas

New cost is x+10, bananas we get= (600/x)-3= (600-3x)/x

(x+10)(600-3x)/x= 600

(x+10)(600-3x)= 600x

600x-3x^2+6000-30x= 600x

3x^2+30x-6000= 0

x^2+10x-2000=0

x^2-40x+50x-2000= 0

x(x-40)+50(x-40)= 0

(x-40)(x+50)= 0

x=40 or x= -50

Cost cannot be negative hence, x=40