parulmahajan89 wrote:During a one day sale,a store sold each sweater of a certain type for $30 more than store's cost of purchasing these sweaters. How many of these sweaters were sold during the sale.

1.During the sale,the total revenue of sale was $270
2.During the sale,the store sold each of these sweaters at a price that was 50 percent greater than store's cost to purchase each sweater

[email protected] wrote:Hi parulmahajan89,

Uva@90 has provided a solid "math" explanation to this DS question. Here's how you can TEST Values to get the same result:

We're told that the "sell price" for a sweater was $30 MORE than the purchase price. We're asked HOW MANY sweaters were sold.

Fact 1: Total revenue from the sweaters was $270.

This tells us that the "sell price" was some FACTOR of 270 (and is at least $30).

So, the "sell price" could have been:
$90, in which case we sold 3 sweaters.
$45, in which case we sold 6 sweaters.
There are other possibilities, but we don't need to think about them right now.
Fact 1 is INSUFFICIENT

Fact 2: the "sell price" was 50% greater than the purchase price.

Combined with the information from the prompt (the "sell price" was $30 more than the purchase price)

Here, the "sell price" was:
S = 1.5P
S = P + 30
This is a "system" of equations (2 variables, 2 unique equations....I can solve it)
Sell Price = 90, Purchase Price = 60

Fact 2 is SUFFICIENT

Final Answer: B

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