Answer:
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
