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 cost of the car, then the share of each of the remaining persons increased? Choose the correct choice from the following answers.
A) 5/7  B) 2/7  C) 1/7  D) 3/7  E) 6/7
Let x be the the cost of the rental car   When 8 persons share equally, share of one person = x/8   When 1 person withdraws and other 7 persons share equally, share of one person = x/7   Increase in the share = x/7−x/8=x/56   Required fraction = (x/56)/(x/8)=1/7   Answer is 1/7.
<result>C</result>
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 cost of the car, then the share of each of the remaining persons increased?