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Q1. (a) A dealer buys 45 portable welding machines at £260 each.

One third of the machines were sold at a profit of 40% and the remainder were sold at a profit of 20%.

Calculate the overall percentage profit. (6)

(b) The fuel consumption per unit of time, C, of a ship, is directly proportional to the cube of its speed v.

On a particular day the ship’s speed is increased by 8% above normal for 5 hours, decreased by 12% for 10 hours and is normal for the remaining 9 hours.

Calculate the percentage decrease in the fuel consumption below normal for that day. (10)