If a gang of eight rob a bank, what percent of the loot belongs to three of the robbers? What percent belongs to them if two of the gang are killed? By what percent does each robber’s share increase?

Question
Answer:
Assuming they split the loot equally among themselves, the percent that belongs to three robbers is the total amount of loot divided by eight, multiplied by three:

100 / 8 * 3 = 37.5

To find the percentage if two gang members are killed, you would calculate one hundred percent of the loot divided by the quantity eight minus two (to account for the two dead gang members), multiplied by 3:

100 / (8 - 2) * 3 => 100 / 6 * 3 = 50

To find the percent increase, subtract the smaller percentage (original number) from the larger percentage (new number), then divide the increase by the original number and multiply the answer by one hundred.

50 - 37.5 = 12.5

% increase = 12.5 / 37.5 * 100
% increase = 33.3333

Answer:
The percent of the loot that belongs to three robbers is 37.5 percent.
50 percent belongs to them if two of the gang members are killed.
Each robber's share increases by 33.33 percent.

Hope this helps!
solved
general 11 months ago 1959