During lunch service, a snack kiosk sold bread rolls, wraps, bowls of

Question

During lunch service, a snack kiosk sold bread rolls, wraps, bowls of soup, and salads. If the prices of one bread roll, one wrap, one bowl of soup, and one salad were in the ratio 3:6:5:4, respectively, what percent of the total revenue from the sale of these four items came from salads?

(1) The numbers of bread rolls, wraps, bowls of soup, and salads sold were in the ratio 5:2:1:4.

(2) The total revenue from the sale of all four items was $96.

Bunuel · Accepted Answer

GMAT Club Official Solution:

During lunch service, a snack kiosk sold bread rolls, wraps, bowls of soup, and salads. If the prices of one bread roll, one wrap, one bowl of soup, and one salad were in the ratio 3:6:5:4, respectively, what percent of the total revenue from the sale of these four items came from salads?

Since only ratios are given, we can use convenient values. Take the prices to be:

bread roll = 3
wrap = 6
bowl of soup = 5
salad = 4

(1) The numbers of bread rolls, wraps, bowls of soup, and salads sold were in the ratio 5:2:1:4.

This says the numbers sold were in the ratio:
bread rolls : wraps : bowls of soup : salads = 5 : 2 : 1 : 4

So we can take the numbers sold to be:
bread rolls = 5
wraps = 2
bowls of soup = 1
salads = 4

Now compute revenue from each item type:

bread rolls: 5 * 3 = 15
wraps: 2 * 6 = 12
bowls of soup: 1 * 5 = 5
salads: 4 * 4 = 16

Total revenue = 15 + 12 + 5 + 16 = 48

So the share from salads is 16/48 = 1/3 = 33 1/3%

Sufficient.

(2) The total revenue from the sale of all four items was $96.

Knowing only that the total revenue was $96 is not enough. That tells us the size of the whole revenue, but it does not tell us how much of that $96 came from salads.

For example, all $96 could have come from salads, so the share from salads would be 100%.
But only $24 could have come from salads, so the share from salads would be 25%.

Not sufficient.

Answer: A.

ankushsambare · Answer

Remember: We are asked the Percentage not absolutes value

Let prices be 3x, 6x, 5x, 4x.
We want percent of total revenue that comes from salads.
Revenue depends on price × quantity, so we also need quantities.

Statement (1):
Quantities are in ratio 5 : 2 : 1 : 4.
So revenues:
bread rolls = 3x × 5 = 15x
wraps = 6x × 2 = 12x
soup = 5x × 1 = 5x
salads = 4x × 4 = 16x
Total revenue = 15x + 12x + 5x + 16x = 48x
Percent from salads = 16x / 48x = 1/3 = 33.33%
 So statement (1) is sufficient.

Statement (2):
Total revenue is 96, but we don’t know how many of each item were sold. Without quantities, we cannot find salad’s share.
 So statement (2) is not sufficient.

Final answer: A

Adit_ · Answer

Statement 1:
Revenue from salad = 16xy.
Total revenue = 15xy+12xy+5xy+16xy = 48xy.
Percent of revenue = 16/48 * 100.
SUFFICIENT.

Statement 2:
4xy/96*100.
We dont know value of xy here.
INSUFFICIENT.

Answer:  Option A

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