Question

Dinesh bought an article for Rs 374, which included a discount of 15% on the marked price and a sales tax of 10% on the reduced price . Find the marked price of the article.

Answer 1

Solution: Let marked price be Rs. x, Discount = 15%, Rate of Sales Tax = 10%. 

Discount on Rs. x = 15% of x = (15/100) x = 15x/100.

Price after discount = x – 15x/100 = 85x/100.

Sales Tax = 10% of 85x/100 = (10/100)(85x/100) = 85x/1000.

Price including sales tax = 85x/100 + 85x/1000 = 935x/1000.

As per question, 935x/1000 = Rs. 374

Or,    

x = Rs. 374(1000/935) = Rs. 400.

Hence,  marked price = Rs. 400. [Ans.]  

Answer 2

Let the marked price of the article be RS x
Discount=15%
Amount of discount=15%of Rsx
=15/100×x
=Rs3x/20
Therefore, Cost of the article after discount=RS[x-3x/20]=Rs17x/20
Since,sales tax is 10% on the reduced price.
Therefore, Amount of sales tax=Rs(10/100×17x/20)=Rs17x/200

Now,net amount to be paid=Rs[17x/20+17x/200]=Rs187x/200

According to the given condition
187x/200=374
=> x=Rs(374×200/187)
x=Rs400

Hence,the marked price of the article=Rs 400.

Hope it helps you!!!!!
By the Janvi sales tax is not in our syllabus.☺