(a) A dealer sold a car to a man and made a profit of 15%. The man then sold it to a woman for N120,175.00 at a loss of 5%. How much did the dealer buy the car? (b) The diameter of the wheel of a car is 36cm. How many revolutions, correct to three significant figures, will it make to cover a distance of 1.05 km? [Take ].
Explanation
(a) Let the cost of the car to the dealer be x. Sales of car to a man with 15% profit : (115% of x = 1.15 x\) Sale of the car to the woman by the man at 5% loss : (95% of 1.15x = N120,175.00) The original cost of the car to the dealer = N110,000.00. (b) Circumference of a circle = Distance covered by the wheel = 1.05 km Radius of the wheel = 18cm Circumference of the wheel = = Note : 1.05 km = 105,000 cm Number of revolution = =