Final answer:
The marked price of the mobile phone can be calculated by dividing the final price after discount and VAT by the compounded discount and VAT factors. The equation involves setting up a proportion to find the original marked price before any deductions or additions were made.
Step-by-step explanation:
The question requires us to find the marked price of a mobile phone, given that it is sold after allowing a 10% discount and charging 13% VAT (Value Added Tax), and the final price paid is Rs152555. To solve this problem, we consider the marked price to be 'x'. After a 10% discount, the selling price would be 90% of the marked price (as 100%-10% = 90%), which is 0.9x.
Upon adding 13% VAT to that selling price, the total price becomes 1.13 × 0.9x, which we know is equal to Rs152555. Therefore, we can set up the equation 1.13 × 0.9x = 152555.
To find the value of 'x', we divide Rs152555 by 1.13 × 0.9. Performing the calculation, we would get the marked price of the mobile set. x = Rs152555 / (1.13 × 0.9).