Question

b) The listed price of a music system is Rs 6000. Two sellers A and B each has 8 sets of the music
system. Seller A allows a discount of 8% on the listed price. After selling half of his stock, he sells
remaining at a discount of 12%. Seller B allows a discount of 11% on the listed price for the whole
stock. Find the difference of their selling prices for the whole stock.
[4]

Answer 1

Answer:

Step 1:

Given:

List price of an article =Rs.8000

Let the rate of discount given by wholesaler =x%

Step 2:

We need to find the rate of discount at which article was bought from the wholesaler

Step 3:

So,

discount =x% of Rs.8000

=

100

x

×Rs.8000

= Rs.80x

CP of an article for shopkeeper =Rs.8000−Rs.80x

It is given that , CP of article for consumer =Rs.8000

Since the sales are intra-state, rate of GST =18%

CGST=SGST=9%

Amount of GST paid by the shopkeeper to wholesaler

SGST=CGST =9% of (Rs.8000−Rs.80x)

=

100

9

×(Rs.8000−Rs.80x)

Amount of GST paid by the consumer to the shopkeeper

CGST=SGST =9% of Rs.8000

=

100

9

×Rs.8000=Rs.720

So, the tax paid by shopkeeper to state government

=Rs.720−

100

9

×(Rs.8000−Rs.80x)

Also, tax paid by the shopkeeper to state government =Rs.72

⇒72−720−

100

(9×80)

(100−x)

⇒720−72=

100

720

×(100−x)

⇒648=

10

72

(100−x)

⇒100−x=

72

(648×10)

⇒100−x=90

⇒x=100−90

⇒x=10

Hence, the required rate of discount =10%