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 ____?
- 15 3/7%
- 14 3/7%
- 16 3/7%
- None of these
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%
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