Answer :
Step-by-step explanation:
Let's solve the given problem step by step.
### Given:
1. Cost price (CP) of the machine: ₹50,000
2. Marked price (MP) is 20% above CP
3. Discount on marked price: 10%
4. GST rate: 12%
### (i) Marked price of the machine
First, we need to calculate the marked price of the machine.
\[ \text{MP} = \text{CP} + 20\% \text{ of CP} \]
\[ \text{MP} = 50000 + (20\% \times 50000) \]
\[ \text{MP} = 50000 + 10000 \]
\[ \text{MP} = 60000 \]
### (ii) Consumer's cost price of the machine inclusive of tax (under GST)
First, calculate the selling price after the discount.
\[ \text{Selling Price (SP)} = \text{MP} - 10\% \text{ of MP} \]
\[ \text{SP} = 60000 - (10\% \times 60000) \]
\[ \text{SP} = 60000 - 6000 \]
\[ \text{SP} = 54000 \]
Now, calculate the GST amount:
\[ \text{GST Amount} = 12\% \times \text{SP} \]
\[ \text{GST Amount} = 0.12 \times 54000 \]
\[ \text{GST Amount} = 6480 \]
Finally, the consumer's cost price inclusive of GST:
\[ \text{Consumer's Cost Price} = \text{SP} + \text{GST Amount} \]
\[ \text{Consumer's Cost Price} = 54000 + 6480 \]
\[ \text{Consumer's Cost Price} = 60480 \]
### (iii) Tax (under GST) paid by the shopkeeper to the Central Government
The GST amount is divided equally between the Central and State Governments.
\[ \text{Central GST (CGST)} = \frac{\text{GST Amount}}{2} \]
\[ \text{CGST} = \frac{6480}{2} \]
\[ \text{CGST} = 3240 \]
### (iv) Tax (under GST) paid by the shopkeeper to the State Government
The amount paid to the State Government is equal to the amount paid to the Central Government.
\[ \text{State GST (SGST)} = \frac{\text{GST Amount}}{2} \]
\[ \text{SGST} = \frac{6480}{2} \]
\[ \text{SGST} = 3240 \]
### Summary:
1. **Marked price of the machine:** ₹60,000
2. **Consumer's cost price inclusive of tax:** ₹60,480
3. **Tax paid by the shopkeeper to the Central Government:** ₹3,240
4. **Tax paid by the shopkeeper to the State Government:** ₹3,240
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