Question

Kiran purchases an article for rupees 5310 which includes 10%rebate on the marked price and 18% tax under GST on the remaining price. find the marked price of the article

Answer 1

Answer:

Marked Price = Rs. 5000

Step-by-step explanation:

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

Answer 2

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