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The problem consists of three parts, and I will break down each part based on the information provided in the table:

1. **Wheat Flour (unpacked)**:
   - Marked Price: ₹35
   - Quantity: 5 kg
   - Rate of GST: \(x\%\)

2. **Basmati Rice (Branded & Packed)**:
   - Marked Price: ₹180
   - Quantity: 5 kg
   - Rate of GST: 5%

3. **Surf Excel Quick Wash Detergent**:
   - Marked Price: ₹220
   - Quantity: \(y\) kg
   - Rate of GST: 18%

Now let's solve the parts one by one.

### (a) Find the value of \( x \), if the total GST on wheat flour and basmati rice is ₹45.

**GST for Wheat Flour**:
- Total Price of Wheat Flour = ₹35 \(\times\) 5 = ₹175
- GST on Wheat Flour = \(x\%\) of ₹175 = \( \frac{x}{100} \times 175 = \frac{175x}{100} \)

**GST for Basmati Rice**:
- Total Price of Basmati Rice = ₹180 \(\times\) 5 = ₹900
- GST on Basmati Rice = 5% of ₹900 = \( \frac{5}{100} \times 900 = ₹45 \)

Now, the total GST for both wheat flour and basmati rice is ₹45. Hence:
\[
\frac{175x}{100} + 45 = 45
\]
This implies:
\[
\frac{175x}{100} = 0
\]
Thus, \( x = 0 \).

### (b) Find the value of \( y \), if CGST paid for detergent powder is ₹39.60.

CGST is half of the total GST. So, the total GST for detergent powder is:
\[
\text{Total GST} = 2 \times ₹39.60 = ₹79.20
\]

Now, for the detergent:
- Total Price of Detergent = ₹220 \(\times\) \(y\)
- GST for Detergent = 18% of ₹220y = \( \frac{18}{100} \times 220y = ₹39.60 \)

Thus:
\[
\frac{18}{100} \times 220y = 79.20
\]

Solving for \(y\):
\[
220 \times y = \frac{79.20 \times 100}{18} = 440
\]
Thus, \( y = \frac{440}{220} = 2 \).

### (c) Find the total amount to be paid (including GST) for the entire bill.

Now, let's calculate the total:

- Wheat Flour (GST-free as \(x = 0\)):
  - Total Price = ₹175
  - Total with GST = ₹175

- Basmati Rice:
  - Total Price = ₹900
  - GST = ₹45
  - Total with GST = ₹900 + ₹45 = ₹945

- Detergent Powder:
  - Total Price = ₹220 \(\times\) 2 = ₹440
  - GST = ₹79.20


The following bill shows the GST rate and the marked price of items:
1. Wheat Flour (unpacked) - Marked Price: ₹35, Quantity: 5 kg, Rate of GST: x%
2. Basmati Rice (Branded & Packed) - Marked Price: ₹180, Quantity: 5 kg, Rate of GST: 5%
3. Surf Excel Quick Wash Detergent - Marked Price: ₹220, Quantity: y kg, Rate of GST: 18%
Find:
(a) the value of x if the total GST on wheat flour and basmati rice is ₹45.
(b) the value of y, if CGST paid for detergent powder is ₹39.60.
(c) total amount to be paid (including GST) for the above bill.

Solve the GST calculation problem for wheat flour, basmati rice, and detergent powder, including finding the rate of GST, quantity, and total amount payable. This problem involves algebraic manipulation, percentage, and basic GST concepts, suitable for students in Grades 9-10.

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