The sale price of an article, including the sales tax is Tk. 616. The rate of sales tax is 10%. If the shopkeeper has made a profit of 12% then the cost price of the article is

A Tk. 500

B Tk. 515

C Tk. 550

D Tk. 600

Solution

Correct Answer: Option A

Let,
Cost price be x.
Selling price = x + 12% of x
                  = x + (12x/100)
                  = 28x/25

ATQ,
(28x/25) + 10% of (28x/25) = 616
⇒ (28x/25) + (280x/2500) = 616
⇒ (28x/25) + (14x/125) = 616
⇒ (140x + 14x)/125 = 616
⇒ 154x = 77000
∴ x = 500

∴ Cost price tk. 500.

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