if the cost of bananas is increased by rs 10 per dozen one can get 3 dozens less for 600 find the original cost of bananas
if the cost of bananas is increased by rs 10 per dozen one can get 3 dozens less for 600 find the original cost of bananas
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Answer:
Let x be the original cost of a dozen bananas. For Rs.600 let us one gets y dozens.
xy = 600 … (1)
(x+10)(y-3) = 600 … (2)
From (1) y = 600/x. Putting that value in (2), we get,
(x+10)(600/x-3) = 600 or
(x+10)(600–3x)/x = 600 or
(10+x)(600 -3x) = 600x or
6000 + 570x - 3x^2 = 600x or
6000 - 30x - 3x^2 = 0 or
2000 - 10x - x^2 = 0
x^2 + 10x - 2000 = 0
(x+50)(x-40) = 0
So x = -50 or 40. Since cost of bananas cannot a negative figure, x = 40.
So at Rs.40 per dozen one can buy 15 dozens for Rs.600. If the cost goes up by Rs.10, the person can get 600/(40+10) = 600/50 = 12 dozens which is 3 dozens short of the previous purchasing power!
So the original cost of bananas is Rs.40 per dozen.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Let the cost of bananas be X/dozen
ACC .to given condition
600/x-600/X+10=3
600(1/x-1/X+10)=3
600{x+10-x/X(X+10)}=3
600{10/x^2+10x}=3
600=3{x^2+10x}/10
6000=3x^2+30x
Dividing by 3
x^2 +10x-2000=0
x^2-50x+40x-2000=0
x(x-50)+40(x-50)=0
x=50 or x=-40
x is not equal to -40
Therefore ....X=50
The original cost of bananas is 50 per dozen