Percent And Interest Problems

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Percent And Interest Problems

by swerve » Tue Jan 26, 2021 3:05 am

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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 Marko's income is what percent of Jon's income?

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

The OA is E

Source: Princeton Review
Source: — Problem Solving |

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swerve wrote:
Tue Jan 26, 2021 3:05 am
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

Source: Princeton Review
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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