A fruit drink is made by mixing juice and lemonade in the ratio :
1 : 4
(juice : lemonade)
Juice costs £6.00 per litre. Lemonade costs 50p per litre.
a) show that 1 litre of the fruit drink costs £1.60 to make.
b) The fruit drink is sold for £2 a litre. Work out the percentage profit.
1 liter of punch is 1/5 juice, 4/5 lemonade
so, the cost is
1/5 * 6.00 + 4/5 * 0.50 = 1.20+0.40 = 1.60
the profit per liter is 2.00-1.60 = 0.40
0.40/1.60 = 0.25 = 25% profit
(based on cost)
Juice = x Liters.
Lemonade = 4x Liters.
x + 4x = 1 Liter.
X = 0.2 Liters.
4X = 4*0.2 = 0.8 Liters.
=
a. Cost = 0.2*6 + 0.8*0.5 $1.60.
b. Profit = Sale Price-Cost = 2.00-1.60 = 0.40.
%Profit = (Profit/Cost)*100 =
a. Cost = 0.2*6 + 0.8*0.5 = $1.60.
It costs £1.60 to make 1 litre of a fruit drink.
The fruit drink is sold for £2 a litre.
Work out the percentage profit.
a) To calculate the cost of making 1 liter of the fruit drink, we need to consider the ratio of juice to lemonade:
- Juice: 1 part
- Lemonade: 4 parts
Since the juice costs £6.00 per liter, the cost of 1 part of juice is £6.00/5 = £1.20 (dividing by the total number of parts in the ratio).
The lemonade costs 50p per liter, which is £0.50 for 1 part.
Adding the costs of 1 part of juice and 4 parts of lemonade, we get £1.20 + (4 x £0.50) = £1.20 + £2.00 = £3.20.
Therefore, 1 liter of the fruit drink costs £3.20 to make.
b) The fruit drink is sold for £2.00 per liter. To calculate the percentage profit, we need to find the difference between the selling price and the cost price, and then express it as a percentage of the cost price:
Profit = Selling Price - Cost Price
Profit = £2.00 - £1.60 = £0.40
Percentage Profit = (Profit / Cost Price) x 100
Percentage Profit = (£0.40 / £1.60) x 100 = 25%
Therefore, the percentage profit is 25%.
To calculate the cost of making 1 liter of the fruit drink, we need to determine the amount of juice and lemonade needed based on the given ratio.
a)
Given: Ratio = 1:4
Since the ratio is 1:4, we can assume that out of the total 1+4, 1 part consists of juice and 4 parts consist of lemonade.
Therefore, the fraction of juice in the mixture is 1/5 (1 part out of a total of 1+4), and the fraction of lemonade is 4/5 (4 parts out of a total of 1+4).
Now, let's calculate the cost of 1 liter of the fruit drink:
Cost of juice = Price per liter of juice = £6.00
Amount of juice needed = Fraction of juice in the mixture × Total amount of the mixture
= 1/5 × 1 liter
= 1/5 liter
Cost of lemonade = Price per liter of lemonade = £0.50
Amount of lemonade needed = Fraction of lemonade in the mixture × Total amount of the mixture
= 4/5 × 1 liter
= 4/5 liter
Total cost of making 1 liter of the fruit drink = (Cost of juice × Amount of juice needed) + (Cost of lemonade × Amount of lemonade needed)
= (£6.00 × 1/5) + (£0.50 × 4/5)
= £1.20 + £0.40
= £1.60
Therefore, 1 liter of the fruit drink costs £1.60 to make.
b)
The fruit drink is sold for £2.00 per liter, and the cost to make 1 liter is £1.60.
Profit per liter = Selling price per liter - Cost to make per liter
= £2.00 - £1.60
= £0.40
To calculate the percentage profit, we need to find the ratio of profit to the cost to make and then multiply by 100.
Percentage profit = (Profit per liter / Cost to make per liter) × 100
= (£0.40 / £1.60) × 100
= 0.25 × 100
= 25%
Therefore, the percentage profit on the fruit drink is 25%.