Question

If the cost of bananas is increased by Rs. 2 per dozen, one can get one dozen less bananas for Rs. 343. Find the
original cost of one dozen bananas.​

Answer 1

Answer:

Step by step explanation:

Let the cost of bananas per dozen be x

According to the question ,

343 / x - 343 / x + 1 = 2

343 ( 1/x - 1/x + 1) = 2

343 [x + 1 - x / x ( x + 1 )] = 2

343 [ 1 / x² + x ] = 2

343 = 2x² + 2x

2x² + 2x - 343 = 0

x² + x - 171.5 = 0

x² + 13.5x - 12.5x - 171.5 = 0

x(x + 13.5) - 12.5(x + 13.5) = 0

(x - 12.5) ( x + 13.5) = 0

x = 12.5 or x = -13.5

Price of banana cannot be negative.

Thus, x = 12.5

Answer: 12.5 Rs. (Approx)

Original cost of one dozen bananas is Rs. 12.5 (Approx.)