Kiran purchases an article for rs. 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.

rs. 5,000

Step-by-step explanation:

x = Marked price of the article

The formula for cost price = x - 10 %. Rebate of x

= x - (10/100)x

= 90x/ 100

Cost price = 90x/100

= 9x/10

We are told in the question that there is

18% tax (under GST) on the remaining price.

So this gives us:

18% × 9x/10

The Cost price of the Article =

= 9x/ 10 + (18% × 9x/10)

= 9x/10 + (18/100 × 9x/10)

= 9x/10 + 162x/1000

= 9x × 1000 +162x× 10/ 10000

= 9000x + 1620x/ 10000

We were told in the question that:

the article was purchased for rs 5310

= Cost price

Hence,

rs 5310 = 9000x + 1620x/ 10000

Cross Multiply

= 5310 × 10000 = 9000x + 1620x

= 53100000 = 10620x

x = 53100000/10620

x = rs 5000

Therefore, the marked price is rs 5000

step-by-step explanation: