The cost of a car is 400% greater than the cost of a bike. If there is an increase in the cost of the car is 15% and that of bike 20%. Then the total increase in the cost of the 5 cars and 10 bikes is ____?

Correct answer

16 3/7%

Explanation

Explanation Let's assume the cost of the bike is x. Then, the cost of the car is 400% greater than the cost of the bike, which means the cost of the car is x + 400% of x = x + 4x = 5x. The total cost of 5 cars and 10 bikes is: 5(5x) + 10x = 25x + 10x = 35x The increase in cost is: 5 cars: 15% of 5(5x) = 0.15(25x) = 3.75x 10 bikes: 20% of 10x = 0.20(10x) = 2x Total increase = 3.75x + 2x = 5.75x The percentage increase is: (5.75x / 35x) × 100 = (575 / 3500) × 100 = 16 3/7%