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DS: Gmat test prep

by parulmahajan89 » Mon Sep 23, 2013 6:37 pm
Three friends rented a car for a week and divided the cost equally. What was the cost of renting the car?

1)If the three friends had kept the car for a second week,they could have obtained a bi weekly rate,which was 1.5 times the cost of one week rental.

2)If a fourth friend had joined three Friends and cost have been divided equally among four friends,the cost to each of the original three would have been reduced by 15.

Can someone please help?
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by GMATGuruNY » Mon Sep 23, 2013 7:27 pm
parulmahajan89 wrote:Three friends rented a car for a week and divided the cost equally. What was the cost of renting the car?

1)If the three friends had kept the car for a second week,they could have obtained a bi weekly rate,which was 1.5 times the cost of one week rental.

2)If a fourth friend had joined three Friends and cost have been divided equally among four friends,the cost to each of the original three would have been reduced by 15.
Statement 1 is clearly insufficient.

Statement 2: If a fourth friend had joined the three friends and the cost had been divided equally among the four friends, the cost to each of the original three would have been reduced by $15.
When 3 people rent car, let the cost per person = x.
Thus, the total cost for 3 people = 3x.

When 4 people rent the car, the cost per person decreases by $15:
x-15.
Thus, the total cost for 4 people = 4(x-15) = 4x - 60.

Since the total cost is the same in each case, we get:
3x = 4x - 60
x = 60.
Thus, the total cost = 3x = 3*60 = 180.
SUFFICIENT.

The correct answer is B.
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by sanju09 » Tue Sep 24, 2013 3:59 am
parulmahajan89 wrote:Three friends rented a car for a week and divided the cost equally. What was the cost of renting the car?

1)If the three friends had kept the car for a second week,they could have obtained a bi weekly rate,which was 1.5 times the cost of one week rental.

2)If a fourth friend had joined three Friends and cost have been divided equally among four friends,the cost to each of the original three would have been reduced by 15.

Can someone please help?
Target Question

What was the cost of renting the car?

What do we already know?

Three friends rented a car for a week and divided the cost equally.

What do we need to know?

How much did one of the friends pay?

Over to Statement I:

This says that they would have availed a 50% discount for the second week if continued. Not sufficient as it doesn't give us a number. Get rid of A, D

Over to Statement 2:

This compels us write an equation in x, where x is the cost of renting the car for the mentioned week, and our answer too. It translates to (x/3) - (x/4) = [spoiler]15 and x can be found out. Sufficient

Pick B[/spoiler]
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