Question

The prime cost of an article was 3 times the value of materials used. The cost of raw materials increases in the ratio of 3:7 and productive wages 4:9. Find the present prime cost of an article which could formerly be made for rs. 18.

Answer 1

Aim:

To find the present cost of an article that was made for Rs. 18.

Solution:

Let us consider

prime cost = raw material + 2 (wages)

Present Cost=18

Materials used is 3 times less then the prime cost of the article.

so, raw material = 18/3 =6

Hence,

wages = 18 - 6

wages =12.

Now lest use consider as per the question:

New raw material = 6×7/3 = 14  

New wages = 12×9/ 4= 27

Hence,

The New Prime cost of the article = 14 + 27 = 41