Marked price of an article is 2860 and rate of VAT is 8%. Shopkeeper allows a discount
of 20% and still makes a profit of 10%. If he spent 4% as overheads, then find the
original cost price of the article and final selling price including VAT.
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Answer:
MP = Rs. 2860
VAT = 8%
After VAT Selling Price = 8% Rs. 2860 + Rs. 2860 = Rs. 3088.80
Sale Price after a discount of 20% = Rs. 3088.80 - 20% (Rs. 3088.80) = Rs. 2471.04
Price before VAT is applied = 2860 - 20% = Rs. 2288
Let the Cost Price be x.
Since the overheads are 4%, the new CP will be 1.04x.
So, profit = 2,288 - 1.04x
profit %=
1.04x
(2,288−1.04x)
=
100
10
Implies, 2,288−1.04x=0.104x
x=
1.144
2,288
x=Rs.2000
Hence, the Cost Price of the article is Rs. 2000 and the final Selling Price including VAT will be Rs.2471.04.
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