Question

Eight people are planning to share equally the cost of a rental car. If one person withdraws from the arrangement and the others share equally the entire rental of the car, then the share each of the remaining persons is increased by ______ of the original share.

a)1/9
b) 1/8
c) 1/7
d) 7/8

Answer 1

When one person withdraws from a group of 8 people sharing the cost of a rental car, the share of each remaining person is increased by 1/8th of the original share.

Step-by-step explanation:

When 8 people share the cost of the rental car equally, each person pays 1/8th of the total cost. If one person withdraws and the remaining people still share the entire rental cost equally, then the share of each remaining person is increased by 1/7th of the original share.

To understand this, let's consider an example:

If the total cost of the rental car is $800, then each person initially pays $100 (1/8 x $800 = $100).

If one person withdraws, the remaining 7 people will share the entire cost. So, each person will now pay $114.29 (1/7 x $800 ≈ $114.29).

The increase in share can be calculated as $114.29 - $100 = $14.29.

So, the share of each remaining person is increased by $14.29, which is 1/8th of the original share.