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in Commercial Mathematics by (47.3k points)
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Brinda purchased 18 coats at the rate of Rs 1,500 each and sold them at a profit of 6%. If customer is to pay sales tax at the rate of 4%, how much will one coat cost to the customer and what will be the total profit earned by Brinda after selling all coats?

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Given, the cost price of each coat = Rs. 1500

Also the total number of coat purchased = 18

⇒We need to find out the cost of each coat and profit earned by brinda.

Now, we know that the total cost of 18 coats = total number of coats * cost of each coat.

⇒ Total cost of 18 coats = 18*1500

= 27000

⇒ Gain% = 6%

Now, we know that

gain = (gain%) x Cost price/100

⇒ Gain = (6 x 27000)/100

= 1620

Now, we know that Selling price = Gain + Cost price

⇒ Amount received by brinda = 1620 + 27000

= 28620

Customer pay sales tax = 4%

Now, we know that the Total Sales Tax = Cost x Sales Tax

⇒Total Sales Tax = (28620 x 4)/100

= 1144.8

Now, The cost price with the sales tax Total Cost = Cost + Total Sales Tax.

⇒ Total cost with sales tax = 28620 + 1144.8

= Rs. 29764.8

Cost Price of one coat = Total cost/ number of coats

⇒ Cost price of one coat = 29764.8/18

= Rs.1653.6

⇒ Profit earned by Brinda = 28620 – 27000

= 1620

Hence, Brinda earned the profit of 1620.

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