A manufacturer in Delhi manufactures a machine and marks it at Rs. 60,000. He sells the machine to a wholesaler (in patna) at a discount of `20%`. The wholesaler sells the machine to a dealer (in Agra) at a discount of `10%` on the marked price. If the rate of GST is `28%`, find the tax paid by the wholesaler to the cenral - government.

Answer

To solve the problem step by step, we will calculate the cost price for the wholesaler, the selling price for the dealer, and then determine the GST paid by the wholesaler.

### Step 1: Calculate the Cost Price for the Wholesaler
The manufacturer marks the machine at Rs. 60,000 and gives a discount of 20% to the wholesaler.

\[ \text{Cost Price for Wholesaler} = \text{Marked Price} \times \left(1 - \frac{\text{Discount}}{100}\right) \]

Substituting the values:

\[ \text{Cost Price for Wholesaler} = 60,000 \times \left(1 - \frac{20}{100}\right) = 60,000 \times 0.8 = 48,000 \]

### Step 2: Calculate the Selling Price for the Dealer
The wholesaler sells the machine to the dealer at a discount of 10% on the marked price (which is still Rs. 60,000).

\[ \text{Selling Price for Dealer} = \text{Marked Price} \times \left(1 - \frac{\text{Discount}}{100}\right) \]

Substituting the values:

\[ \text{Selling Price for Dealer} = 60,000 \times \left(1 - \frac{10}{100}\right) = 60,000 \times 0.9 = 54,000 \]

### Step 3: Calculate the Profit of the Wholesaler
Now, we find the profit made by the wholesaler by subtracting the cost price from the selling price.

\[ \text{Profit} = \text{Selling Price for Dealer} - \text{Cost Price for Wholesaler} \]

Substituting the values:

\[ \text{Profit} = 54,000 - 48,000 = 6,000 \]

### Step 4: Calculate the GST Paid by the Wholesaler
The GST rate is 28%. To find the GST paid by the wholesaler, we calculate:

\[ \text{GST} = \text{Profit} \times \left(\frac{\text{GST Rate}}{100}\right) \]

Substituting the values:

\[ \text{GST} = 6,000 \times \left(\frac{28}{100}\right) = 6,000 \times 0.28 = 1,680 \]

### Conclusion
The tax paid by the wholesaler to the central government is Rs. 1,680.

---