Given

The total cost of a Nike shoes including sales tax is ₹$1,572.90$

The rate of sales tax$7%$

Let, the basic price of Nike shoes be$y$

So, total price of the Shoes = ₹$\left[ y+\left( \left( y\times 7 \right)/100 \right) \right]$

$=107y/100$

$107y/100=$ ₹$1,572.90$ ,

$107y=1,572.90\times 100$

$107y=1,57,290$

$y=1,57,290/107$

$y=$ ₹$1,470$

$\therefore $The basic price of refrigerator is ₹$1,470$