Question

Mix fruit juice i made by the combination of four fruit orange, pomegranate, carrot and litchi mixed in the ratio of 3:4:5:6 repectively. If due to eaonal change we have ome repective change in their cot of 10%, -20%, -30% and 40%, what would be the percentage change in the cot of juice

Answer 1

Hence, the cost of the juice has decreased by 9.44%.

Step-by-step explanation:

Let's assume the cost of orange juice per unit be $x.

So, the cost of pomegranate, carrot and litchi per unit will be $4x, $5x and $6x respectively.

Before the price change, the total cost of the juice was:

$3x + 4x + 5x + 6x = 18x

Now, the cost of orange increased by 10% to $1.1x, the cost of pomegranate decreased by 20% to $3.2x, the cost of carrot decreased by 30% to $3.5x, and the cost of litchi increased by 40% to $8.4x.

So, the total cost after the price change would be:

$1.1x + 3.2x + 3.5x + 8.4x = 16.2x

The percentage change in the cost of juice can be calculated as:

(16.2x - 18x)/18x * 100 = -9.44%

Hence, the cost of the juice has decreased by 9.44%.