If a coffee shop sold 600 cups of coffee, some of which were large

Question

If a coffee shop sold 600 cups of coffee, some of which were large cups and the remainder of which were small cups, what was the revenue that the coffee shop earned from the sale of coffee?

(1) The number of large cups sold was 3/5 the total number of small cups sold.
(2) The price of a small cup of coffee was $ 1.50.

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MaitriD · Answer

E) None of the statements are sufficient

Statement 1 provides a relationship between the large cup and small cup but nothing about the revenue. We can figure out that quantity of small & large cups
Statement 2 tells us the revenue from each small cup of coffee. Missing: price of large cup, amount of small cup sold and amount of large cup sold.

Statement 1 & 2 together. We still don't have the price at which large cup is sold, and thus cant calculate the revenue

Dereno · Answer

Given that a coffee shop sold 600 cups of coffee, which can be sold in either Large cups or Smaller cups.

let the larger cups and small cups be L and S respectively.

so, L+S = 600.

we need to find L and S , along with their prices to calculate the revenue of coffee shop.

Statement 1:

(1) The number of large cups sold was 3/5 the total number of small cups sold.

L = (3/5)*S

Thus, L:S = 3x : 5x

8x = 600, and x = 75

Large cups = 3*75 = 225 cups

Small cups = 5*75 = 385 cups.

we know the number of cups sold individually, but we don’t know the prices for small and large cups.

Hence  insufficient .

Statement 2:

(2) The price of a small cup of coffee was $ 1.50.

Without knowing the price of the larger cup or the number of cups sold. We cannot ascertain the revenue of the coffee shop.

Hence  insufficient .

Combining both statements 1 and 2, we get

The number of large cups = 225

The number of smaller cups = 385

The price of small cup of coffee was $ 1.50.

Without knowing the price of the larger cup of coffee, we cannot find the revenue of the coffee shop.

Hence  insufficient .

Option E

bruhletmein · Answer

We start with 4 variables, x = price of one small coffeee, S = number of small coffees, y = price of large coffee, L = number of large coffees

We are given S + L = 600, and we need to find xS + yL

(1) This gives us a relationship between S and L. Calculating, we get S = 375 and L = 225. But this doesn't tell us x or y ->  INSUFFICIENT

(2) This tells us x = $1.50. This statement alone doesn't give us any info about S, L, or y ->  INSUFFICIENT

(1) + (2)
Putting everything we know into our revenue equation, we get (1.50)*375 + y*225. As you can see, y is still an unknown. Hence even together the statements are  INSUFFICIENT

E

If a coffee shop sold 600 cups of coffee, some of which were large

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GMAT Data Sufficiency (DS) Questions

If a coffee shop sold 600 cups of coffee, some of which were large

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

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