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?

What percent belongs to three of them?

What percent belongs to them if two of the gang are killed?

Each robber's share increases by how much percent?

Question 1: [tex] \frac{3}{8} [/tex] x 100% = 37.5%

Question 2: [tex] \frac{3}{6} [/tex] x 100% = 50%

Question3:
37.5% ÷ 3 = 12.5%
50% ÷ 3 = 16.67%
difference = 16.67-12.5 = 4.17%
percentage change = (4.17 ÷ 12.5) x 100% = 33.36%

Answer Link

Аноним Аноним · Answer 2 · 2019-02-07T13:04:28+01:00

Solution:

Total number of members who rob the bank = 8

Share of each member, if total number of members are 6

[tex]=\frac{100}{8}\\\\ =12 \frac{1}{2}[/tex]%

1. Percent of the loot which belongs to three of the robbers=

[tex]\frac{3}{8}\times 100=\frac{300}{8}=37.50[/tex]%

2. If two of the members are killed,

Number of members left= 8-2=6

(a). Share of three member,

[tex]\frac{3}{6}\times 100=\frac{300}{6}=50[/tex]%

(b). Share of each member, if total number of members are 6

[tex]=\frac{100}{6}\\\\ =16 \frac{2}{3}[/tex]%

(c).% increase of share of each member=

[tex]=\frac{50}{3} -\frac{25}{2}\\\\ \frac{25}{6} \\\\ =4\frac{1}{6}[/tex]%