For a meal in a restaurant, a customer got a `10%` happy hour discount but paid `2.5%` CGST and `2.5%` SGST on the discounted rate. Had he got 200 as a discount and then paid the said taxes, he would have paid 42 more. What was the price of the meal before the discount?

Options

A. RS... 3200
B. RS... 2400
C. RS... 2000
D. RS... 3600

Answer

To solve the problem, we need to find the original price of the meal before the discount. Let's break it down step by step.

### Step 1: Define the Variables
Let the original price of the meal be \( X \) rupees.

### Step 2: Calculate the Price After the 10% Discount
The customer receives a 10% discount on the meal. Therefore, the price after the discount is:
\[ \text{Discounted Price} = X - 0.1X = 0.9X \]

### Step 3: Calculate the GST on the Discounted Price
The customer pays 2.5% CGST and 2.5% SGST on the discounted price. Thus, the total GST is 5% of the discounted price:
\[ \text{Total GST} = 0.05 \times 0.9X = 0.045X \]

### Step 4: Calculate the Total Amount Paid by the Customer
The total amount paid by the customer after applying the discount and adding the GST is:
\[ \text{Total Amount Paid} = 0.9X + 0.045X = 0.945X \]

### Step 5: Calculate the Price with a 200 Rupee Discount
If the customer had received a flat discount of 200 rupees instead of 10%, the new price would be:
\[ \text{New Price} = X - 200 \]

### Step 6: Calculate the GST on the New Price
The GST on this new price would also be 5%:
\[ \text{Total GST on New Price} = 0.05 \times (X - 200) = 0.05X - 10 \]

### Step 7: Calculate the Total Amount Paid with a 200 Rupee Discount
The total amount paid with a 200 rupee discount would be:
\[ \text{Total Amount with 200 Discount} = (X - 200) + (0.05X - 10) = 1.05X - 210 \]

### Step 8: Set Up the Equation
According to the problem, the customer would have paid 42 rupees more with the 200 rupee discount:
\[ 1.05X - 210 = 0.945X + 42 \]

### Step 9: Solve the Equation
Rearranging the equation gives:
\[ 1.05X - 0.945X = 210 + 42 \]
\[ 0.105X = 252 \]
\[ X = \frac{252}{0.105} = 2400 \]

### Conclusion
The original price of the meal before the discount is \( 2400 \) rupees.