-
jcan-gmatter
- Junior | Next Rank: 30 Posts
- Posts: 17
- Joined: Thu Jul 05, 2007 9:08 am
- Location: Kingston, Jamaica
Hello all,
During a 1 day sale, a store sold each sweater of a certain type for $30 more than the store's cost to purchase each sweater. How many of these sweaters were sold during the sale?
1) During the sale, the total revenue from the sale of these sweaters was $270.
2) During the sale, the store sold each of these sweaters at a price that was 50 percent greater than the store's price to purchase them.
Why isn't the answer A?
From Question stem:
Selling Price (SP) = Cost Price + 30
From 1: -
Let x = # of sweaters sold
Revenue = SP(x) - CP(x)
270 = SP(x) - CP(x)
270 = (CP + 30)(x) - CP(x)
270 = CPx + 30x - CPx
270 = 30x
x = 9
9 Sweaters were sold. SUFF
From 2: -
SP = 1.5CP
CP + 30 = 1.5CP
CP = $60
We know the cost of each sweater and hence the selling price but that doesn't tell us the quantity sold!
Why isn't the answer A?
During a 1 day sale, a store sold each sweater of a certain type for $30 more than the store's cost to purchase each sweater. How many of these sweaters were sold during the sale?
1) During the sale, the total revenue from the sale of these sweaters was $270.
2) During the sale, the store sold each of these sweaters at a price that was 50 percent greater than the store's price to purchase them.
Why isn't the answer A?
From Question stem:
Selling Price (SP) = Cost Price + 30
From 1: -
Let x = # of sweaters sold
Revenue = SP(x) - CP(x)
270 = SP(x) - CP(x)
270 = (CP + 30)(x) - CP(x)
270 = CPx + 30x - CPx
270 = 30x
x = 9
9 Sweaters were sold. SUFF
From 2: -
SP = 1.5CP
CP + 30 = 1.5CP
CP = $60
We know the cost of each sweater and hence the selling price but that doesn't tell us the quantity sold!
Why isn't the answer A?
