A percentage is a way to describe a part of a whole. The best option for the customer to buy is option A.
A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
Let the cost price of a cereal box be represented by x.
Given that the box usually contains 450 grams of cereal. Therefore, the unit rate for each option can be written as,
Option A
Weight of cereal = 20% more cereal
= 450 grams + 20% of 450 grams
= 450 grams + 90 grams
= 540 grams
Unit rate for option A = $x / 540 grams
Option B
Cost price of cereal = 15% off the price
= x - 15% of x
= x + 0.15x
= 0.85x
Unit rate for option A = $0.85x / 450 grams
Assume that option A is good. Now, if we subtract unit rate of option B from unit rate of option A then two of the cases are possible, if the value of the result is positive then the unit rate of option A is bigger while if the value is negative unit rate of option B is bigger.
Difference = (x/540) - (0.85x/450)
= (450x - 459x)/243000
= -9x/243,000
= -x/27,000
Further, since the difference is negative, therefore, the unit rate of option B is bigger. But since the value of option B is bigger it is costly and not the correct option to buy.
Hence, the best option for the customer to buy is option A.
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