Question

Syed took out a cash advance of $d$ dollars from a financing company. The company deducts a fee of $\frac{1}{3}$ of the original advanced amount along with a written transfer fee of $\$30.00$. Which of the following represents the final advanced amount that Syed receives after all applied fees, in dollars?

• A. $\frac{1}{3}d-30$
• B. $\frac{1}{3}(d-30)$
• C. $\frac{2}{3}(d-30)$
• D. $\frac{2}{3}d-30$

Answer 1

The correct option is D $\frac{2}{3}d-30$

Given that Syed took advance of $d$ dollars from financing company

The financing company deduct a fee of $\frac{1}{3}$ of original advanced amount $=\frac{1}{3}d$

written transfer fee of $\$30$

Then total amount syed gave fee forfinancing company $=$ $\frac{1}{3}d+30$ dollars

Then Syed receives amount from financing company

$=$ $d-(\frac{1}{3}d+30)$

$=$ $d-\frac{1}{3}d-30$

$=\frac{2}{3}d-30$ dollars

Then Syed receives amount after paid all charges $=$ $\frac{2}{3}d-30$ dollars.