### Question 6

 (a) A camera costs £180 in a 10% sale. What was the pre-sale price? (b) After fuel prices rose by 15%, a family’s annual heating bill was £1654. What would the bill have been without the price increase? (c) The cost of a holiday, including VAT at 20% is £540. What is the pre-VAT price? (d) The world’s tiger population has decreased by 95% since 1910 and is now believed to be as low as 3200. If these figures are correct, what was the tiger population in 1910? (e) The sale price of a television is £420 after a 15% reduction. What was the price before the sale? (f) After a 6.5% pay rise an engineer’s salary is £36,700. What was the salary before the increase? (g) Due to falling orders a company reduces its workforce by 12% to 792. What was the original number of employees? (h) The price of petrol has increased by 17% since 2009 to £1.34 per litre. What was the 2009 price of petrol? (i) An engine modification improved the fuel consumption of a car by 27% to 17.2 km per litre. What was the fuel consumption before the modification? (j) After a long-haul flight, the total weight of a Boeing 747 had decreased by 27% to 305,000kg. What weight of fuel was the aircraft carrying at takeoff? (k) When edited for television a film was reduced in length by 11% to 1 hour 42 mins. What was the original length of the film? (l) An insurance company offers a no-claims discount of 55% for drivers who have not had an accident for four years. If the discounted premium for such a driver is £334, how much did the driver save?