Question

The price of a mobile phone is 32,000 inclusive of
28% GST on the list price. Vineeta asks for a discount
on the list price so that after charging the GST, the
final price becomes the list price.​

Answer 1

The discount provided is Rs. 5040 and the selling price is Rs.18000

Step-by-step explanation:

Price of mobile phone inclusive of 28% GST = Rs. 32,000

$\text{GST} = \frac{28}{100} \times 32000$

GST = Rs.8960

= Rs.8960

∴ List price of the phone without GST= 32,000 - 8960

                                                              = Rs. 23040

Consider X be the discounted price.

Final Price = List Price = Rs.23040

∴ Final price = (List Price - Discount Price) + GST on Selling Price

23040    = (23040 - X) + 28% (23040 - X)

$23040 = (23040 - X) + \frac{28}{100} (23040 - X)$

100 X = (28*23040) - 28X

128 X =6,45,120    

$\text{X} = \frac{645120}{128}$ 

X = 5040

Selling price = Rs. 23,040 - Rs. 5,040 = Rs. 18,000

Discount amount offered to Vineeta was Rs. 5040 and the selling price is Rs. 18,000

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2.  Janhavi traders purchased sugar bags and paid a GST of RS.47500.Vinay agencies purchased at the these bags and paid GST of RS.52000.After these vinay agencies sold this sugar to customers and collected GST of RS.75000.Calculate GST payable at each stage,CGST AND SGST).

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Answer 2

Given :  The price of a mobile phone is 32,000 inclusive of  28% GST on the list price .

Vineeta asks for a discount  on the list price so that after charging the GST, the  final price becomes the list price.

To Find : i) the amount of discount which Vineeta got from  the shopkeeper,

(ii) the amount of SGST on the discounted value of  the mobile.​

Solution:

Let say List price of phone  =  L  Rs

28 % GST = (28/100)L  = 0.28L

Price inclusive of GST = L + 0.28L = 1.28L  Rs

1.28L = 32000

=> L = Rs 25000

List price = Rs 25000

Discount including GST = 32000 - 25000  =  Rs 7000  

Price Before GST after Discount =  P RS

28 % GST  =  (28/100)P  = 0.28P

P + 0.28P  =  1.28P

1.28P  = 25000

=> P  = 19,531.25 Rs

Discount excluding GST  =  25000  - 19,531.25  =  Rs 5,468.75

SGST = CGST = GST/2 = 14 %

amount of SGST on the discounted value of  the mobile.​

= (14/100) 19,531.25

= 2,734.38  Rs

Discount including GST = Rs 7000

Discount excluding GST ( on List Price)   =  Rs 5,468.75

amount of SGST on the discounted value of  the mobile.​ = 2,734.38  Rs

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