Reena goes to a shop to buy a washing machine costing 11800. The rate of G.S.T. is 18%. She tell she shopkeeper to reduce the price of the washing machine to such an extent that she has to pay 11800 inclusive of G.S.T. Find the reduction needed in the price the price of the washing machine.

Answer

To solve the problem step by step, we need to determine the reduction needed in the price of the washing machine so that the total amount paid, including GST, is Rs. 11,800.

### Step 1: Understand the problem
We know that the washing machine costs Rs. 11,800, and the GST rate is 18%. We need to find the original price of the washing machine before GST so that when GST is added, the total is Rs. 11,800.

### Step 2: Set up the equation
Let the original price of the washing machine be \( P \). The total price after adding GST can be expressed as:
\[ \text{Total Price} = P + (18\% \text{ of } P) = P + 0.18P = 1.18P \]
We want this total price to equal Rs. 11,800:
\[ 1.18P = 11,800 \]

### Step 3: Solve for \( P \)
To find \( P \), we can rearrange the equation:
\[ P = \frac{11,800}{1.18} \]
Calculating this gives:
\[ P = 10,000 \]

### Step 4: Calculate the reduction in price
The original price of the washing machine is Rs. 10,000. The price that Reena is currently paying is Rs. 11,800. The reduction needed in the price is:
\[ \text{Reduction} = \text{Current Price} - \text{Original Price} = 11,800 - 10,000 \]
Calculating this gives:
\[ \text{Reduction} = 1,800 \]

### Step 5: Conclusion
The reduction needed in the price of the washing machine is Rs. 1,800.