The sale price of an electronic appliance including the sales tax is Rs. 6,552. The rate of Sales Tax is 12%. If the vendor has made a profit of 17% , then the cost price of the article is :

A Rs. 5000

B Rs. 5150

C Rs. 5500

D Rs. 6000

E None of these

Correct Answer: Option A

Let the C.P. of the article be Rs. x.

S.P. of the article = C.P. + Profit = x + (17% of x) = x + 0.17x = 1.17x

Sales tax = 12% of 1.17x = 0.1404x

Sale price of the article = Rs.6,552

⇒ S.P. of the article + Sales tax = Rs.6552

⇒ 1.17x + 0.1404x = 6552

⇒ x = 6552/1.3104 = Rs.5000