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Doug's income is 40% of Marko's income and Jon's income is 50% of Doug's income. If Doug's income is $28000 a year, then

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by BTGmoderatorLU » Wed Mar 10, 2021 5:56 am

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Source: Princeton Review

Doug's income is 40% of Marko's income and Jon's income is 50% of Doug's income. If Doug's income is $28000 a year, then Marko's income is what percent of Jon's income?

A. 5%
B. 14%
C. 20%
D. 175%
E. 500%

The OA is E
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Source: — Problem Solving |

BTGmoderatorLU wrote:
Wed Mar 10, 2021 5:56 am
Source: Princeton Review

Doug's income is 40% of Marko's income and Jon's income is 50% of Doug's income. If Doug's income is $28000 a year, then Marko's income is what percent of Jon's income?

A. 5%
B. 14%
C. 20%
D. 175%
E. 500%

The OA is E
Solution:

We are given that Doug’s income is $28,000. We can create the following equations in which j = Jon’s income and m = Marko’s income:

28,000 = 0.4m

70,000 = m

AND

j = 0.5(28,000)

j = 14,000

Marko’s income, expressed as a percentage of Jon’s income, is 70,000/14,000 = 5 = 500%

Answer: E

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