Kiran purchase an article for rupees 5310 includes 10% rebate on the marked price and 18% tax (under GST) on the remaining price . FIND THE MARKED PRICE OF ARTICLE.

Solution

Let the marked price be X

10% rebate on the marked price gives

After Rebated price = Marked price - 10%

After Rebated price  = X - 0.1X = 0.9X

∴ After Rebated price = 0.9X    ....... (1)

18% GST is applicable on the After rebate price.

Thus,

Final Purchase price = After rebate price + 18% of after rebate price

∴ Final purchase price = 0.9R + (18/100)×0.9R

∴ Final Purchase price = 0.9R + 0.162R

∴ Final Purchase price = 1.062 R

But, Final purchase price is Rs. 5310
∴ 5310 = 1.062 R
∴ R = 5310 ÷ 1.062
∴ R = 5000

∴ Marked price = Rs. 5000

Regards,
Daivik Lakshmipathy.