Question

Dinesh bought a t-shirt for rupees 464 which included a discount of 15% on the Marked price and sales tax of 10% on the reduced price find the Marked price of the article​

Answer 1

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.

Answer 2

The Marked price of the article​ is Rs.496.25

Step-by-step explanation:

Let the marked price of article be x

There is a 15% discount

So, Cost including discount = $x-15\%x = x-\frac{15}{100}x=x-0.15x=0.85x$

Now There is sales tax of 10% on the reduced price

So, Cost including Sales tax = $0.85x+10\%(0.85x)=0.85x+0.1(0.85x)=0.935x$

We are given that Dinesh bought a t-shirt for rupees 464

So, $0.935x = 464\\x=\frac{464}{0.935}\\x=496.25$

Hence the Marked price of the article​ is Rs.496.25

#Learn more:

After giving a discount of 8% on the marked price an article was sold for 414 find the marked price of the article

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