What is the ratio of the cost price of a Hershey's Chocolate to its se

Let the:

Marked Price = M

Selling Price = S

Cost Price = C

What is: (C / S) = ?


(1) M = 2(S)

Not sufficient

(2)

%Discount given is the percentage off of the Marked Price ——> that brings you to the final Selling Price of the item

%Discount = (M - S) / S * [100%]

And

%Profit = (S - C) / C * [100%]

Statement 2 tells us:

(M - S) / S = (S - C) / C

Not sufficient alone

Together

We are only looking for the ratio of (C / S)

Since statement 1 gives us a relationship in which the marked price (M) is in terms of the Sales Price (S) —->

We can put statement 2’s equation in terms of just C and S and find the ratio of Cost Price to Sales Price.

From here, you can logically see that the statements together are sufficient or proceed with the algebra to be sure

M = 2(S) ——-> substituting this in for M = Marked Price into statement 2’s equation we get:

(2S - S) / 2S = (S - C) / C


The S variable cancels out on the left hand side and we have

(1 / 2) = (S - C) / C

C = 2S - 2C

3C = 2S

(C / S) = (2 / 3)

C together sufficient



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