The cost of pizza is 2/3 times the cost of a burger. If the sum of cost of one burger a and one pizza is Rs. 120, then find the cost of the burger.

Options

A. 92
B. 72
C. 35
D. 81

Answer

To solve the problem step by step, we can follow these instructions:

### Step 1: Define the Variables
Let the cost of the burger be \( x \).

### Step 2: Express the Cost of Pizza
According to the problem, the cost of pizza is \( \frac{2}{3} \) times the cost of the burger. Therefore, the cost of pizza can be expressed as:
\[ \text{Cost of Pizza} = \frac{2}{3}x \]

### Step 3: Set Up the Equation
We know that the sum of the cost of one burger and one pizza is Rs. 120. We can set up the equation as follows:
\[ x + \frac{2}{3}x = 120 \]

### Step 4: Combine Like Terms
To combine the terms on the left side of the equation, we can convert \( x \) into a fraction:
\[ \frac{3}{3}x + \frac{2}{3}x = 120 \]
This simplifies to:
\[ \frac{5}{3}x = 120 \]

### Step 5: Solve for \( x \)
To isolate \( x \), we can multiply both sides of the equation by \( \frac{3}{5} \):
\[ x = 120 \times \frac{3}{5} \]
Calculating this gives:
\[ x = 120 \times 0.6 = 72 \]

### Step 6: Conclusion
Thus, the cost of the burger is Rs. 72.