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Mathematics

The following bill shows the GST rate and the marked price of items :

S.No.ItemMarked price (₹)QuantityRate of GST
1Wheat Flour (unpacked)35.005 kgx%
2Basmati Rice (Branded & packed)180.005 kg5%
3Surf Excel Quick Wash Detergent220.00y kg18%

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.

GST

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Answer

(a) Given, total GST on wheat flour and basmati rice is ₹ 45.

Total price of wheat flour = 35 × 5 = ₹ 175.

Total price of basmati rice = 180 × 5 = ₹ 900.

Given,

Total GST on wheat flour and basmati rice is ₹ 45.

x100×175+5100×900=451.75x+45=451.75x=45451.75x=0x=0.\therefore \dfrac{x}{100} \times 175 + \dfrac{5}{100} \times 900 = 45 \\[1em] \Rightarrow 1.75x + 45 = 45 \\[1em] \Rightarrow 1.75x = 45 - 45 \\[1em] \Rightarrow 1.75x = 0 \\[1em] \Rightarrow x = 0.

Hence, x = 0%.

(b) From table,

Total price of surf excel detergent = 220 × y = ₹ 220y.

GST on detergent powder = 18%

CGST = GST2=182\dfrac{\text{GST}}{2} = \dfrac{18}{2} = 9%.

Given,

CGST paid for detergent powder is ₹ 39.60

9100×220y=39.609×220y=39.60×100y=39.60×1009×220y=39601980=2.\therefore \dfrac{9}{100} \times 220y = 39.60 \\[1em] \Rightarrow 9 \times 220y = 39.60 \times 100 \\[1em] \Rightarrow y = \dfrac{39.60 \times 100}{9 \times 220} \\[1em] \Rightarrow y = \dfrac{3960}{1980} = 2.

Hence, y = 2 kg.

(c) For wheat flour,

Total price = 35 × 5 = ₹ 175

GST = 0%

So, total price = ₹ 175.

For basmati rice,

Total price = 180 × 5 = ₹ 900

GST = 5%

So, total price = ₹ 900 + 5100×900\dfrac{5}{100} \times 900 = ₹ 900 + ₹ 45 = ₹ 945.

For detergent powder,

Total price = 220 × 2 = ₹ 440

GST = 18%

So, total price = ₹ 440 + 18100×440\dfrac{18}{100} \times 440 = ₹ 440 + ₹ 79.20 = ₹ 519.20

Total bill = ₹ 175 + ₹ 945 + ₹ 519.20 = ₹ 1639.20

Hence, total bill = ₹ 1639.20

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