Question

Varun allows a 10% discount on the
marked price of his goggles and still
makes a profit of 20%. If his profit over
the sale of a goggle is 45, find the
marked price of the goggle?​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Marked Price of the goggle is Rs.300

Step-by-step explanation:

If Marked Price is Rs.100

We know that discount of 10% is given

⇒Selling Price=(100-10)% of Marked Price

                       =90% of Marked Price

                       =Rs.90

We know that, Cost Price is always 100%

Here 20% of profit is given,

Selling Price=(100+20)% of Cost Price

                   =120% of Cost Price

Rs.90=120% of Cost Price

$\frac{90}{120}$=100% of Cost Price

$\frac{90}{120}\times100$Cost Price

Rs.75=Cost Price

Selling Price-Cost Price=Profit

90-75=Profit

15=Profit

On comparing with actual profit,

15=45

1=3

So,Marked Price=$3\times 100$

                          =Rs.300

Marked Price of the goggle is Rs.300.