A shop keeper has offered an item for sale. Its label price is Rs. It is not sold in one-month period and after one month its label price is reduced by 20%. Again after 2 months its reduced price is further reduced by 10% and then sold it for Rs 15000. Find the value of x

x = Rs 20,833.33

the value of x is Rs 20,833.33

Step-by-step explanation:

Let x, y and z represent the price of the item initially, after one month and after two months respectively.

Given that;

after one month its label price is reduced by 20%

y = x - 20% of x

y = x - 0.20x

y = 0.80x ... 1

after 2 months its reduced price is further reduced by 10% and then sold it for Rs 15000.

z = y - 10% of y

z = y - 0.10y

z = 0.90y ... 2

Substituting equation 1 into 2;

z = 0.90 (0.80x)

z = 0.72x

Also z = Rs 15000

So,

z = 0.72x = Rs 15000

0.72x = Rs 15000

x = Rs 15000/0.72

x = Rs 20833.33333333

x = Rs 20,833.33

the value of x is Rs 20,833.33