Question

if the cost of Bananas is increased by rupees 2 per dozen one can get one dozen less bananas for rupees 840 find the original cost of one dozen Bananas​

Answer 1

Answer:

Original cost=₹40/dozen

Step-by-step explanation:

Let the original cost of one dozen banana be X rupees

Then, increased cost be(X+2) rupees

A/Q,

840/x - 840/(x+2) =1

{840(x+2) -840x} /{x(x+2)} =1

(840x+1680 -840x) /(x^2+2x) =1

1680 /(x^2+2x) =1

1680 =x^2+2x

x^2+2x -1680 = 0

Now splitting middle term,

x^2 + 42x-40x - 1680 =0

x(x+42) - 40(x+42) = 0

(x+42)(x-40) = 0

Therefore, x = ₹40