I don't that we can rule out statement 2 because taking different values of R yield different results.
R = c + 3/4
R = I - 1/4
Pick R = 1, therefore C = 1/4, I = 5/4
Quantity = 8
total cost: 1:3/4:5
Pick R = 2, therefore C = 5/4, I = 9/4
Quantity = 8
total cost: 2:15/4:9
Both equations yield different values but highest plantation cost is for I.
shanrizvi wrote:adamsmith2009, lets take statement 1 and statement 2 separately (meaning when we're assessing statement 1, it doesn't matter what statement says. In fact, for us, statement 2 doesn't exist).
Statement 1: Price proportion R:C:I = 1:6:2
The question tells us that the quantity proportion R:C:I = 1:3:4 and asks us for the flower with the highest price*quantity proportion (total price : price*quantity). Note: if you have the price and quantity ratios, you can calculate the total price ratio. Rp*Rq:Cp*Cq:Ip*Iq
Hence, the total price ratio R:C:I will be 1:18:8
Statement 1 is sufficient.
Lets come to statement 2 now.
Statement 2: R is 0.75 cents more expensive than C and R is 0.25 cents cheaper than I
You don't even need to do any calculation for this statement. They've given the relationship between the prices in absolute terms which means that the relationship between the total prices depends on the actual value of R. The statement is insufficient.
It says that R=C+0.75 and R=I-0.25. If R=1, C=0.25 and I=1.25, making the total price ratio 1 : 0.75 : 5 . However, if R=10, C=9.25 and I=10.25, making the total price ratio 10 : 27.75 : 41 .
Note: The total price ratio is calculated using Rp*Rq:Cp*Cq:Ip*Iq.
As you can see, the two examples are not consistent. Hence, the statement is insufficient.
