Question

The ratio of the profit, material cost and production labour is 5:7:13. If the material cost is 840 more than that of labour, find the total cost of producing the article. Plss ​

Answer 1

Total cost of producing is 2800.

Explanation:

Given

Ratio of profit, material cost and production labour is 5:7:13.

Material cost is 840 more than that of labour cost.

To find:

Total cost of producing the article.

Solution:

Cost of producing the article includes material cost and the labour cost.

Profit will not be included in the production cost because profit comes in the picture after the article is sold.

We are given that, the ratio is:

Profit: Material Cost: Production Labour = 5:7:13

So, we can let Material Cost = 7
`x` and

Production Labour = 13
`x`

As per the question statement:

`13x-7x=840\\\Rightarrow 6x=840\\\Rightarrow \bold{x=140}`

Total cost of producing = Material Cost + Production Labour

Total cost of producing = 7
`x` + 13
`x` = 20
`x` = 20
`*` 140 = 2800

So, Total cost of producing is 2800.