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Q1. (a) In manufacturing an engineering component the costs of labour and materials are in the ratio 7:3.

The component is sold at £5568 producing a profit of 16%.

Determine EACH of the following:

(i) the cost of the materials; (4)

(ii) the percentage increase in material costs when labour costs increase by 5%, the percentage profit is 12 ½ % and the selling price is £5832. (6)

(b) A cable 200 m long has to be cut into four lengths.

Three of the lengths are to be equal and the fourth length must be 10 m shorter than the sum of the equal lengths.

Calculate the length of the longer piece. (6)