Data Sufficiency

An estimate of an actual data value has an error of \(p\) percent if \(p=\dfrac{100|e-a|}{a},\) where \(e\) is the estimated value and \(a\) is the actual value. Emma's estimate for her total income last year had an error of less than \(20\) percent. Emma's estimate of her income from tutoring last year also had an error of less than \(20\) percent. Was Emma's actual income from tutoring last year at most \(45\) percent of her actual total income last year?

(1) Emma's estimated income last year from tutoring was \(30\) percent of her estimated total income last year.
(2) Emma's estimated total income last year was \(\$40,000.\)

Answer: A

Source: Official Guide