The marked price of a washing machine is ₹7,200.if it sold for ₹5,512.50 after two successive discounts of x % each . The value of x is

As per the given condition in the question,

The marked price of washing machine =7200Rs.

Sold price of washing machine =5512.5Rs

Discount =x%

So, $$\dfrac{7200\times (100-x)(100-x)}{100\times 100}=5512.50$$

$$\Rightarrow \dfrac{72\times (100-x)^2}{100}=5512.5$$

$$\Rightarrow (100-x)^2=\dfrac{5512.5\times 100}{72}$$

$$\Rightarrow (100-x)^2=7656.25$$

$$\Rightarrow 100-x=87.5$$

$$\Rightarrow x=100-87.5=12.5\%$$