# Thread: Solve the word problem

1. ## Solve the word problem

The cost price of 30 tacos is equal to the selling price of 25 burritos. What is the profit percentage?
A. 30%
B. 25%
C. 20%
D. 15%
E. 10%

2. Originally Posted by fcabanski
The cost price of 30 tacos is equal to the selling price of 25 burritos. What is the profit percentage?
A. 30%
B. 25%
C. 20%
D. 15%
E. 10%
Does taco = burrito?

3. The way the solution is written, they set x as both the cost and selling price of the taco, and y as both the cost and selling price of the burrito.

30x = 25y

y = 6/5 * x

Then they say the profit on one taco is 6/5*x - x = 1/5*x

And the profit % is

((1/5*x)/x) * 100 = 20%

That doesn't seem correct.

4. Originally Posted by fcabanski
The cost price of 30 tacos is equal to the selling price of 25 burritos. What is the profit percentage?
A. 30%
B. 25%
C. 20%
D. 15%
E. 10%
Hmm...

Suggest letting a taco be the same thing as a burrito.
Then say C = cost price of 1 taco
and S = selling price of 1 taco. (= Cost price + P ( the profit on one taco) )

So 30*C = 25*S = 25*( C + P)
30*C = 25*C + 25*P
5*C = 25*P
C = 5*P.

So the cost of one taco = 5 times the profit.

Since the cost of one taco is obviously 100% of the cost of one taco, this means that the profit on one taco must be one-fifth of this, ie. 20%.

Does that make sense?

It seems to be that the question you were given was badly phrased...