## University A charges $9,000 annually for tuition and$3,000 annually for room and board. University A charges 10% less

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### University A charges $9,000 annually for tuition and$3,000 annually for room and board. University A charges 10% less

by BTGmoderatorDC » Wed Sep 01, 2021 7:49 pm

00:00

A

B

C

D

E

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University A charges $9,000 annually for tuition and$3,000 annually for room and board. University A charges 10% less than University B does for tuition and 20% more than University B does for room and board. The total annual cost of tuition, room and board is how much more or less at University A than it is at University B?

A. $1,200 less B.$500 less
C. $300 less D.$300 more
E. The costs are equal.

OA B

Source: Princeton Review

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### Re: University A charges $9,000 annually for tuition and$3,000 annually for room and board. University A charges 10% le

by swerve » Fri Sep 03, 2021 3:14 am
BTGmoderatorDC wrote:
Wed Sep 01, 2021 7:49 pm
University A charges $9,000 annually for tuition and$3,000 annually for room and board. University A charges 10% less than University B does for tuition and 20% more than University B does for room and board. The total annual cost of tuition, room and board is how much more or less at University A than it is at University B?

A. $1,200 less B.$500 less
C. $300 less D.$300 more
E. The costs are equal.

OA B

Source: Princeton Review
Let's try as follows:

$$90\%$$ of B's tuition fees $$= 9000\$$

$$\Rightarrow$$ B's tuition fees $$= \dfrac{9000}{90} \ast 100 = 10,000\$$

$$120\%$$ of B's room and board fees $$= 3000\$$

$$\Rightarrow$$ B's room and board fees $$= \dfrac{3000}{120} \ast 100 = 2500\$$

University A

Tuition fees $$= 9000\$$

Room and board $$= 3000\$$

Total fees of University A $$= 9000\ + 3000\ = 12,000\$$

University B

B's tuition fees $$= 10,000\$$

B's room and board fees $$= 2500\$$

Total fees of University B $$= 10,000\+2,500\ = 12,500\$$

Therefore

Difference $$= 12,500 - 12,000 =500\ \Longrightarrow$$ B

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