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From January 2002 through June 2003, Jonah worked at the same job for a set monthly salary. On July 1, 2003, Jonah began a new job, where he worked through the end of the year. What was the percent change in Jonah's yearly income from 2002 to 2003 ?
(1) At the new job Jonah earned a set monthly salary that was 10% higher than the monthly salary he had earned at his old job.
(2) At the old job, Jonah earned $2,500 per month.
Attachment:
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Old Job (January 2002 to June 2003)Jonah's Monthly Salary = $x
New Job (June 2003 to Decemeber 2003)Jonah's Monthly Salary = $y
Statement 1(1) At the new job Jonah earned a set monthly salary that was 10% higher than the monthly salary he had earned at his old job.2002 Jonah's Income = 12*x
2003 Jonah's Income = 6*x + 6*1.1x = 12.6x
Percentage Change = \(\frac{12.6x - 12 x}{ 12x} * 100 = 5\)%
This statement alone is sufficient to answer the question. We can eliminate B, C, and E.
Statement 2(2) At the old job, Jonah earned $2,500 per month.While this statement provides Jonah's monthly income at his old job, the statement doesn't provide any information on his new job. Hence, we cannot find the yearly income made by Jonah in 2003. The statement alone is not sufficient. Eliminate D.
Option A