Question

Tanya buys an electric iron for RS712.80 which includes two successive discounts of 10% and 4% respectively on the marked price and then 10% tax on the remaining price. Find the marked price of the electric iron.

Answer 1

The buying price after two successive discounts is rs712.80

The first discount is 10% whereas the last discount is 4%

Since for us to get the marked price we need to do reverse calculations, the first discount will be 4% and then 10% in this order since it is a reverse calculation.

Calculations:

712.80=96%
? =100%

100/96 × 712.80=742.5

742.5=90%
? =100%

100/90 × 742.5=825

825 represents the price inclusive of the tax which is 10%

The marked price is therefore :

825=110%
? =100%

100/110 × 825=750

So the marked price is Rs 750

Answer 2

Solution :-

Let the the marked price before both the discounts and the tax be Rs. x

First discount is 10 % and the second discount is 4 % and then the tax is added on the remaining amount.

1) x - 10 % discount

⇒ x - (x*10)/100

⇒ x - x/10

= 9x/10

So, after allowing first discount of 10 %, the price of iron is Rs. 9x/10. Now the second discount of 4 % will be given on this amount.

2) 9x/10 - 4 % discount

⇒ 9x/10 - (9x/10*4/100)

⇒ 9x/10 - 9x/250

Taking LCM and then solving it.

⇒ (225x - 9x)/250

= 216x/250

So, after the second discount of 4 %, the remaining price of iron is Rs. 216x/250. Now, the tax @ 10 % will be charged on this amount.

3) 216x/250 + 10 % tax = 712.80
 
⇒ 216x/250 + (216x/250*10/100) = 712.80 

⇒ 216x/250 + 216x/2500 = 712.80

Taking the LCM of the denominators and then solving it.

⇒ (2160x + 216x)/2500 = 712.80

⇒ 2376x/2500 = 712.80

⇒ 2376x = 712.80*2500

⇒ x = 1782000/2376

⇒ x = 750 

So, the marked price of the iron is Rs. 750

Answer.