Question

A sofa was sold for rs8550 after giving 25%discount. What was it's listed price?​

Answer 1

Answer:

11,400

Step-by-step explanation:

AS 25% is 1/4. 3/4 of 8550 = 2850. 2850X 4= 11400. that's it!

Answer 2

Selling price of a sofa=Rs.8550

Discount applied on it's listed price=25%

Which means :-

Let the price of the sofa be x.

The listed price of the sofa will be:-

$=x - \frac{25}{100} \times x = 8550$

$= x - \frac{25 \times x}{100} = 8550$

$= \frac{x}{1} - \frac{25x}{100} = 8550$

$= \frac{100x}{100} - \frac{25x}{100} = 8550$

$= \frac{75x}{100} = 8550$

$= 75x = 8550 \times 100$

$= 75x = 855000$

$= x = \frac{855000}{75}$

$= x\bold{ \: = \: Rs.11400}$

Thus, the listed price of the sofa was=Rs.11400

Now let us check whether or not we have found out the correct listed price of the sofa by checking if or not applying a discount of 15% on 11,400 gives 8,850:-

$= 11400 - \frac{25}{100} \times 11400$

$= 11400 - \frac{25 \times 11400}{100} </p><p>$

$= 11400 - \frac{285000}{100}$

$= 11400 - 2850$

$= \bold{Rs.8550}$

As applying the discount on the listed price gives the correct selling price, we can conclude that we have found out the correct listed price of the sofa.

Therefore, the listed price of the sofa was=Rs.11400