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Question
The following bill shows the GST rate and the marked price of items:
| Grow Shree Groceries | ||||
| S.No. | Item | Marked Price (₹) |
Quantity | Rate of GST |
| 1. | Wheat Flour (unpacked) |
35.00 | 5kg | x% |
| 2. | Basmati Rice (Branded and Packed) |
18.00 | 5kg | 5% |
| 3. | Surf Excel Quick Wash Detergent |
220.00 | y kg | 18% |
Find:
- the value of x if the total GST on wheat flour and basmati rice is ₹ 45.
- the value of y, if CGST paid for detergent powder is ₹ 39.60.
- total amount to be paid (including GST) for the above bill.
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Solution
Given: Wheat flour ₹ 35.00 per kg, quantity 5 kg, GST = x%. Basmati rice ₹ 18.00 per kg, quantity 5 kg, GST = 5%. Surf Excel detergent ₹ 220.00 per kg, quantity = y kg, GST = 18%. The total GST on wheat flour + basmati rice = ₹ 45. The CGST paid for detergent = ₹ 39.60.
Step-wise calculation:
a. Find x:
Total price of wheat flour
= 35 × 5
= ₹ 175
Total price of basmati rice
= 18 × 5
= ₹ 90
GST on basmati rice
= 5% of 90
= 0.05 × 90
= ₹ 4.50
GST on wheat flour
= x% of 175
= `x/100 xx 175`
= 1.75x
Given total GST on both = 45
So, 1.75x + 4.50 = 45
1.75x = 45 – 4.50
= 40.50
`x = 40.50/1.75`
= `162/7`
= 23.142857...
So, `x = 162/7%`
= `23 1/7%` ...(Approximately 23.142857%)
b. Find y from CGST on detergent:
Price of detergent (total)
= 220 × y
= 220y
GST rate on detergent = 18% ...(Intra‑state)
So, CGST = half
= 9% of 220y
CGST = 0.09 × 220y
= 19.8y
Given CGST = 39.60
So, 19.8y = 39.60
⇒ `y = 39.60/19.8`
⇒ y = 2
So, y = 2 kg.
c. Total amount to be paid (including GST):
Wheat flour: Base = ₹ 175.00
GST = 1.75x
= `1.75 xx 162/7`
= ₹ 40.50
Total = 175 + 40.50
= ₹ 215.50
Basmati rice: Base = ₹ 90.00
GST = ₹ 4.50
Total = 90 + 4.50
= ₹ 94.50
Detergent: Base = 220 × 2
= ₹ 440.00
GST 18% = 0.18 × 440
= ₹ 79.20 ...(CGST = 39.60, SGST = 39.60)
Total = 440 + 79.20
= ₹ 519.20
Grand total = 215.50 + 94.50 + 519.20
= ₹ 829.20
Notes
The answer in the textbook is incorrect.
