Question

A shopkeeper marks his goods in such a way that after allowing a discount of 25% on the marked price, he still makes a profit of 50%. Find the ratio of the C.P. to the M.P.

Answer 1

Answer:

Step-by-step explanation

Marked price M

Cost price C

Selling price = (75/100)*M

Selling price=(150/100)*C

150c/100=75m/100

C:M= 1:2

Answer 2

The ratio of the cost price and the marked price is 1 : 2.

Step-by-step explanation:

Let us assume that the cost price and the marked price of the goods are Rs. x and Rs. y respectively.

Now, the shopkeeper is giving a 25% discount on the marked price.

So, the selling price will be in terms of marked price $y(1 - \frac{25}{100} ) = 0.75y$ Rs.

Again, the shopkeeper is making a 50% profit on the cost price by selling the goods.

So, the selling price in terms of the cost price will be $x(1 + \frac{50}{100}) = 1.5x$ Rs.

Now, as per the conditions are given we can write,

0.75y = 1.5x

⇒ x : y = 1 : 2

Therefore, the ratio of the cost price and the marked price is 1 : 2. (Answer)