For each order, a certain company charges a delivery fee d that depends on the total price x of the merchandise in the

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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 two orders was $3.
(2) The sum of the delivery fees for the two orders was $10.



OA B

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Source: — Data Sufficiency |

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BTGmoderatorDC wrote:
Sun May 03, 2020 6:28 pm
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 two orders was $3.
(2) The sum of the delivery fees for the two orders was $10.

OA B

Source: GMAT Prep
Let's take each statement one by one.

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

We have no information about the second order. As far as the first order goes, x ≤ $100; however, if the delivery fee is $7 for the second order, the answer would be yes as del fee is $7 for x > $500. Insufficient.

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

=> Del fee for first-order = 3 and the del. fee for the second-order = $7. Thus, the answer would be yes as del fee is $7 for x > $500. Sufficient.

The correct answer: B

Hope this helps!

-Jay
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