Question

12. 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.
Find
(i) the amount of discount which Vineeta got from
the shopkeeper,
(ii) the amount of SGST on the discounted value of
the mobile.​

Answer 1

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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