# Math

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As an invesment Mrs. Astor purchased 2 paintings. She later sold the two paintings for \$24,000 each. On one painting she made a 20% profit, but on the other she esperienced a 20% loss. Mrs. Astor lost__________ on her investments in the 2 paintings.

• Math -

Purchase price of first :
1.2x = 24000
x = 24000/1.2 = 20,000

purchase price of 2nd:
.8y = 24000
y = 24000/.8 = 30,000

total purchase price = 50,000
total selling price = 48.000

loss on investment = 50000-48000 = 2,000

check:
on first:
profit = 4000
percentage profit = 4000/20000 = .2 or 20%

on 2nd:
loss = 6000
percentage loss = 6000/3000 = .2 or 20%

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