A ready - made garment shopkeeper gives 5% discount on a dress of Rupee 2000 and charges 5% GST on the remaining amount. What is the purchase price of the dress for the customer ?

Explanation

To find the purchase price of the dress for the customer, we will follow these steps:

### Step 1: Calculate the Discount
The original price of the dress is Rs. 2000. The shopkeeper offers a 5% discount on this price.

\[ \text{Discount} = \text{Original Price} \times \frac{\text{Discount Rate}}{100} \]
\[ \text{Discount} = 2000 \times \frac{5}{100} = 2000 \times 0.05 = 100 \]

### Step 2: Calculate the Price After Discount
Now, we subtract the discount from the original price to find the price after discount.

\[ \text{Price After Discount} = \text{Original Price} - \text{Discount} \]
\[ \text{Price After Discount} = 2000 - 100 = 1900 \]

### Step 3: Calculate the GST
Next, we need to calculate the 5% GST on the price after discount.

\[ \text{GST} = \text{Price After Discount} \times \frac{\text{GST Rate}}{100} \]
\[ \text{GST} = 1900 \times \frac{5}{100} = 1900 \times 0.05 = 95 \]

### Step 4: Calculate the Final Purchase Price
Finally, we add the GST to the price after discount to find the total purchase price for the customer.

\[ \text{Final Purchase Price} = \text{Price After Discount} + \text{GST} \]
\[ \text{Final Purchase Price} = 1900 + 95 = 1995 \]

### Conclusion
The purchase price of the dress for the customer is Rs. 1995.

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