A shopkeeper sells an article for Rs. 1770 with GST `=18%`. A customer willing to buy this article, asks the shopkeeper to reduce the price of the article so that he pays only Rs. 1,888 including GST, If the shopkeepar agrees for this how much reduction will the shopkeeper give ?

Answer

To solve the problem, we need to find out how much reduction the shopkeeper will give on the selling price of the article so that the customer pays only Rs. 1888 including GST.

### Step-by-Step Solution:

1. **Identify the Selling Price and GST**:
- The original selling price (SP) of the article is Rs. 1770.
- The GST rate is 18%.

2. **Determine the Customer's Desired Price**:
- The customer wants to pay Rs. 1888 including GST.

3. **Let the Reduction be X**:
- Let the reduction in the selling price be Rs. X.
- Therefore, the new selling price after reduction will be:
\[ \text{New SP} = 1770 - X \]

4. **Calculate the Effective Selling Price Including GST**:
- The effective selling price (CP) including GST can be expressed as:
\[ \text{CP} = \text{New SP} \times (1 + \text{GST percentage}) \]
- Here, GST percentage = 18% = 0.18, so:
\[ \text{CP} = (1770 - X) \times (1 + 0.18) = (1770 - X) \times 1.18 \]

5. **Set Up the Equation**:
- We know that the customer wants to pay Rs. 1888 including GST, so we can set up the equation:
\[ (1770 - X) \times 1.18 = 1888 \]

6. **Solve for X**:
- First, divide both sides by 1.18:
\[ 1770 - X = \frac{1888}{1.18} \]
- Calculate \(\frac{1888}{1.18}\):
\[ \frac{1888}{1.18} \approx 1600 \]
- Now, we have:
\[ 1770 - X = 1600 \]
- Rearranging gives:
\[ X = 1770 - 1600 = 170 \]

7. **Conclusion**:
- The reduction in the price that the shopkeeper will give is Rs. 170.

### Final Answer:
The shopkeeper will give a reduction of Rs. 170.

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