Laura borrowed $240, interest free, from her parents to pay

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Laura borrowed $240, interest free, from her parents to pay for her college education. If she pays back 5/2 percent of this amount quarterly, and has already paid $42.00, for how many months has she been paying back her loan?

A. 6
B. 7
C. 19
D. 21
E. 24

The OA is D.

Laura borrowed 240 $
Interest - 5/2% = 5/200
240*5/200 = 6 $

She pays this amount per quarter i.e 3 months

Now amount paid - 42
42/6 = 7

so for 7 quarters, she pays the amount 42 $

i.e 7*3 = 21. Option D.

Has anyone another strategic approach to solve this PS question? Regards!
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by deloitte247 » Sat Jul 28, 2018 2:35 pm
Loan = %240
$$Monthly\ payback\ =\ \frac{5}{2}\%\ of\ \${240}$$
$$Monthly\ payback\ =\ \frac{2.5}{100}\cdot\${240}$$
= $6
Amount paid = $42 $$Amount\ of\ paybacks\ =\ \$\frac{42}{6}=\ 7$$
Per month = 9 * 3 = 21
Paybacks are quarterly = every 3 minutes.
Option D is the correct answer.

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by Scott@TargetTestPrep » Wed Aug 01, 2018 3:38 pm
AAPL wrote:Laura borrowed $240, interest free, from her parents to pay for her college education. If she pays back 5/2 percent of this amount quarterly, and has already paid $42.00, for how many months has she been paying back her loan?

A. 6
B. 7
C. 19
D. 21
E. 24
5/2 percent of $240 is (5/2)/100 x 240 = 5/2 x 2.4 = 12/2 = $6. Thus, she pays $6 every 3 months. Since 42/6 = 7, she's been paying off her loan for 7 quarters, i.e., 3 x 7 = 21 months.

Answer: D

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