The Marked price of an article is RS 3,500 and the rate of VAT is 8%. A shopkeeper allows a discount of 20% and still makes a profit of 10% find the original cost price of the article and the selling price including VAT.
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Marked price of the article = Rs. 3500
Rate of discount = 20 %
Discount amount = (3500*20)/100
= Rs. 700
Selling price of the article = Marked price - Discount amount
S.P. = 3500 - 700
⇒ Selling price of the article = Rs. 2800
Let the cost price of the article be Rs 'x'
Profit percentage = 10 %
Profit = (x*10)/100
⇒ = Rs. x/10
Selling price the article = Cost price + profit
⇒ x + x/10
⇒ Selling price = 11x/10
Now, according to the question.
⇒ 2800 = 11x/10
⇒ 11x = 2800*10
⇒ 11x = 28000
⇒ x = 28000/11
⇒ x = 2545.45
Cost price of the article is Rs. 2545.45
Selling price including VAT = 2800 + 8 % of Rs. 2800
⇒ 2800 + 224
⇒ 3024
So, the selling price including VAT is Rs. 3024
Rate of discount = 20 %
Discount amount = (3500*20)/100
= Rs. 700
Selling price of the article = Marked price - Discount amount
S.P. = 3500 - 700
⇒ Selling price of the article = Rs. 2800
Let the cost price of the article be Rs 'x'
Profit percentage = 10 %
Profit = (x*10)/100
⇒ = Rs. x/10
Selling price the article = Cost price + profit
⇒ x + x/10
⇒ Selling price = 11x/10
Now, according to the question.
⇒ 2800 = 11x/10
⇒ 11x = 2800*10
⇒ 11x = 28000
⇒ x = 28000/11
⇒ x = 2545.45
Cost price of the article is Rs. 2545.45
Selling price including VAT = 2800 + 8 % of Rs. 2800
⇒ 2800 + 224
⇒ 3024
So, the selling price including VAT is Rs. 3024
Paritshith:
hope this helps
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the Marked price price of an article is through PC 3500 and the rate of what is it percent shopkeeper allows a discount of 20% and makes a profit of 10% find the original cost of the article and the selling price including VAT he still makes
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