Delivery fee

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massi2884: Senior | Next Rank: 100 Posts; Posts: 95; Joined: Tue Sep 13, 2011 3:19 pm; Thanked: 3 times; GMAT Score:710

by massi2884 » Fri Apr 13, 2012 10:27 am

OA is B Please explain. Thanks

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Source: Beat The GMAT — Data Sufficiency | Fri Apr 13, 2012 10:27 am

GmatKiss: Legendary Member; Posts: 2789; Joined: Tue Jul 26, 2011 12:19 amFollowed by: 43 members; Location: Chennai, India; Thanked: 206 times; GMAT Score:640

by GmatKiss » Fri Apr 13, 2012 11:12 am

IMO: B

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neelgandham: Community Manager; Posts: 1060; Joined: Fri May 13, 2011 6:46 amFollowed by: 52 members; Location: Utrecht, The Netherlands; Thanked: 318 times

by neelgandham » Fri Apr 13, 2012 11:59 am

For the benefit of fellow users, I will type the question before solving it.

Q) For each order, a certain company charges a delivery fee d that depends on the total price x of the merchandise in the order, where d and x are in dollars and

d = 3, if 0<x<100
d = 3 + ((x-100)/100), if 100<x<500
d = 7, if x>500

If George placed two separate orders with the company, was the total price of the merchandise in the two orders greater than $499?

1) The delivery fee for one of the orders was $3

The statement implies that the price of the merchandise of one of the orders is <100 but the price of the merchandise of the other order is still unknown. Since, we don't know the delivery fee or the price of the merchandise of the second order, it is not possible to answer the question with statement one.

2) The sum of delivery fees for the two orders was $10

Sum of delivery fees = $10. The least delivery fee is $3, so let us start from this case.
Case 1
If delivery fee for order 1 and order 2 = $3 and $7 respectively, the total price of the merchandise of both the orders > 500.
Case 2
If delivery fee for order 1 and order 2 = Any combination((4,6),(5,5),(4.5,5.5)..and so on) respectively, the total price of the merchandise of both the orders > 500
Case 3
If delivery fee for order 1 and order 2 = $7 and $3 respectively, the total price of the merchandise of both the orders > 500.

So, it is possible to answer the question with statement two.

IMO B

Anil Gandham
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