Question

Robert decided to purchase a washing machine. Its printed price was Rs. 27,000. The shopkeeper gave a discount of 5% on it. The rate of GST on the washing machine is 28%. Calculate the CGST and SGST charged by the shopkeeper. Also, find the cost for which Robert got the machine.

Answer 1

Hint: To solve this question, we will first of all calculate the price after calculating 5% of the given selling price. This will be the discounted price. It will be calculated by subtracting 5% of the cost with 27000. Finally, we will calculate 28% of less SP and to get the final amount, we will subtract this GST from the original price.

Complete step-by-step answer:
The printed price of the washing machine is 27,000.
\[\Rightarrow \text{Selling Price, SP}=Rs.27,000\]
The shopkeeper gave a discount of 5% on it. So the discount would be applied to 27000. We will calculate 5% of 27000. Therefore, 5% of 27000 will be
\[\Rightarrow \dfrac{5}{100}\times 27000\]
\[\Rightarrow 5\times 270\]
\[\Rightarrow 1350\]
Hence, the exact actual price would be calculated by subtracting 1350 to 27000.
\[\Rightarrow \text{Actual Price}=27000-1350\]
\[\Rightarrow \text{Actual Price}=Rs.25650\]
\[\Rightarrow \text{Discounted Price}=Rs.25650\]
We are given that the mean rate of GST on the washing machine is 28%. Now, because GST = CGST + SGST, the GST would be divided equally on CGST and SGST.
CGST = 14% of discounted price
Let us calculate 14% of the discounted price that is 14% of Rs. 25650. Therefore, 14% of 25650 will be
\[\Rightarrow \dfrac{14}{100}\times 25650\]
\[\Rightarrow \dfrac{14}{10}\times 2565\]
\[\Rightarrow 3591\]
Therefore, the CGST would be Rs. 3591. Hence, CGST = SGST = Rs. 3591. Therefore, the GST would be
\[GST=CGST+SGST\]
\[\Rightarrow GST=3591+3591\]
\[\Rightarrow GST=7182\]
Then the actual cost would be calculated by subtracting 7182 from Rs. 25650. Hence, the cost for which Robert got the washing machine is Rs. 25650.

Note: Another method can be done by calculating 28% of Rs. 25650, which is the GST % applied. So, 28% of 25650 will be
\[\Rightarrow \dfrac{28}{100}\times 25650\]
\[\Rightarrow 2.8\times 2565\]
\[\Rightarrow 7182\]
So, the value of all SGST, CGST and GST are all the same obtained above.