1.

A rock group with 5 musicians gets 25% of the gross salesof their new album, but they have to give their agent 15%of their share. If the album grosses $20,000,000, whatis each band member's share ?​

Answer»

Number \:of \: musicains\:in \\a \:rock \:group = 5

Total \:gross \:sales \:of \:the \:album\\ = \$ 20,000,000

Shares \:of \:25\%:of \: gross \:sales = 25\% \times 20000000\\= \frac{25}{100} \times 20000000\\= \$5000000

Shares \: of \: gross \:sales \\5 \: musicians \:get = \$ 5000000

/* ACCORDING to the PROBLEM GIVEN */

Share \:of \:the \:agent = 15\%

Remaining \: shares \: 5 \: musicians\:get \\= 5000000\Big( \frac{100-15)}{100} \Big)\\= 5000000 \times \frac{85}{100}\\= 50000\times 85 \\= \$ 4250000

Now,\\ Each \:band \: member \:share = \frac{4250000}{5} \\= \$ 850000

THEREFORE.,

\red {Each \:band \: member \:share}\green { =\$ 850000}

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