Respuesta :
The total cost of the paint increased by the percentage of profit
expected gives the total price at which Aadi should sell the paint.
Response:
- Each 5-litre tin should be sold for £24.53
How can the price of each tin be calculated?
The given ratio of the paint is;
Blue : yellow = 7:3
The cost of a 50-litre container of blue paint = £164
The cost of a 20-litre container of yellow paint = £84.80
The volume of the tins in which the green paint is to be sold = 5-liter
The profit on each tin = 37.5%
Required:
The amount each (5-liter) tin of green paint should be sold.
Solution:
Let X represent the volume of blue paint and let Y represent the volume
of yellow paint in the mixture, we have;
- [tex]\dfrac{X}{Y} = \mathbf{ \dfrac{7}{3}}[/tex]
Therefore;
[tex]X = \mathbf{ \dfrac{7}{3} \times Y}[/tex]
A multiple of 50, 20 and 3 is 300
If Aadi buts 15 containers of yellow paint = 300 L, we have;
[tex]The \ volume \ of \ blue \ paint, \ X = \dfrac{7}{3} \times 300 = 700[/tex]
The number of tins of blue paint is [tex]\dfrac{700 \ L}{50 \ L/container}[/tex] = 14 containers
The total cost of the paint bought is therefore;
15 × £84.8 + 14 × £164 = £3,568
Volume of the paint = 300 L + 700 L = 1000 L
The amount at which the paint is sold = 1.375 × £3,568 = £4,906
[tex]The \ price \ of \ each \ 5\, L \ tin = \dfrac{\£4,906 }{1000 \, L} \times 5 \, L = \mathbf{ \£24.53}[/tex]
- The amount he should sell each tin is £24.53
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