The total amount that John paid at a certain restaurant consisted of

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?

(1) The sum of the tip and the tax was 20 percent of the price of john's meal.
(2) The ratio of the tax to the tip was 1 to 4.

ID 00969

Mona2019 · Answer

(1) The sum of the tip and the tax was 20 percent of the price of john's meal.

Let price of meal alone be x
So price of tip and tax = 0.2x
So x+0.2x = 30
so, We can get the value of X that is the price of the meal.
So sufficient 
(2) The ratio of the tax to the tip was 1 to 4.
We just know the tax and tip ratio, how is this ratio related to price of meal, we do not know.
So insufficient .

IMO A is the answer

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QuantMadeEasy · Answer

Step 1: Understanding the question 
Let price of meal be x, the tax be y, the tip be z
Total amount x + y + z = 30
x = 30 - (y + z)

x is required?

Step 2: Understanding statement 1 alone 
(1) The sum of the tip and the tax was 20 percent of the price of john's meal.
y + z = 0.2*x
x = 30 - 0.2*x
1.2 x = 30
x = 30/1.2 = 25
Sufficient

Step 3: Understanding statement 2 alone 
(2) The ratio of the tax to the tip was 1 to 4.
y/z = 1/4
Since, value of (y+z) cannot be calculated, x cannot be determined
Insufficient

A is correct

Praveenksinha · Answer

1) Statement 1
Tip + tax is 20% of meal
let meal be X, now X+.2X=30
X=25
Sufficient

2) We only know that ratio of tip to Tax
insufficient

VoltAmpere · Answer

Question Given
M+T+Ti=30
M-meal, T-tax, Ti-tip

Statement 1: The sum of the tip and the tax was 20 percent of the price of john's meal.
T+Ti=0.2M
Substituting in the question given
M+0.2M=30
M=25 
 SUFFICIENT

Statement 2: The ratio of the tax to the tip was 1 to 4.
T/Ti=1/4
This does not tell us about the relationship of T and Ti with M nor the value of T+Ti.
 INSUFFICIENT.

CORRECT ANSWER: A

alwaysHP · Answer

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?

(1) The sum of the tip and the tax was 20 percent of the price of john's meal.
30=price+tax+tip 
30 = p+20p/100
 From here P can be obtained

(2) The ratio of the tax to the tip was 1 to 4.
Here 30= P + 1x+4x
P cannot be obtained 
 
Ans A

BottomJee · Answer

OFFICIAL EXPLANATION

Let x, y, and z be the amount, in dollars, that John paid for the price, tax, and tip, respectively. Then, x + y + z = 30. Determine the value of x.

(1) It is given that y + z = 0.20x. Therefore, 30 = x + (y + z) = x + 0.2x = 1.2x, and hence x =  \frac{30}{1.2}  = 25; SUFFICIENT.

(2) It is given that  ​\frac{y}{z​ } = ​ \frac{1}{4} ​, or z = 4y. Therefore, 30 = x + y + z = x + y + 4y = x + 5y. If y = 1, then z = 4 and x = 25. On the other hand, if y = 2, then z = 8 and x = 20; NOT sufficient.

The correct answer is A; statement 1 alone is sufficient.

bumpbot · Answer

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The total amount that John paid at a certain restaurant consisted of

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