Solutions

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Question

The total amount that John paid at a certain restaurant consisted of the price of the meal, the tax, and the tip. If the total amount that John paid at the restaurant was $30, what was the price of John’s meal?

I. The sum of the tip and the tax was 20 percent of the price of john’s meal.

II. The ratio of the tax to the tip was 1 to 4.


 

Option A:

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.

Option B:

Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.

Option C:

BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.

Option D:

EACH statement ALONE is sufficient to answer the question asked.

Option E:

Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.

Difficulty Level

Easy

Solution

Option A is the correct answer.


Option Analysis

Let P, T1 and T2 be the price of the meal, tax and tip respectively.

Given, P+T1+T2=30, P=?

Statement I is sufficient: T1+T2=0.2*P —> from the given equation, P+0.2P=30, you can solve for P. This statement is sufficient.

Statement II is sufficient: T1/T2 = 0.25 —> T2=4*T1 —> clearly this will lead to an equation with 2 variables, P+T1+4*T1=30—> P+5*T1=30. We cannot eliminate T1 to get P.

Thus this statement is NOT sufficient.