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Bunuel
Karen bought items A, B and C from a supermarket for a total price of $1500. What was the price of item C?


(1) The money she spent to buy item A was 140% of the money she spent to buy the other two items

(2) Item B was 75% less expensive than item C


[textarea]This is a [url=https://gmatclub.com/forum/project-ds-butler-get-2-ds-questions-every-day-

Solution:

From the given we can create the equation:

A + B + C = 1500

We need to determine C.

Statement One Alone:

The money she spent to buy item A was 140% of the money she spent to buy the other two items.

We can create the equation:

A = 1.4(B + C)

A = 1.4B + 1.4C

We still cannot determine C.

Statement Two Alone:

Item B was 75% less expensive than item C

We can create the equation:

B = 0.25C

We stil cannot determine C.

Statements One and Two Together:

We see that we have the following three equations:

A + B + C = 1500

A = 1.4B + 1.4C

B = 0.25C

Since we have three unique equations and three variables, we have what we need to determine the value of C.

Answer: C
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