Thursday, August 2, 2018

#Household math - Which size is the better option?

Question

While shopping online for tea I found a type of tea I like with 2 options for buying it: 16 bags for 134.30 of my currency and 24 bags for 169.89 of my currency. Which is the better option?

Answer

It's far cheaper to buy the bigger box assuming you are actually going to drink the tea. If you are more of a tea collector than a tea drinker, it's better to buy the smaller box.

Analysis

To answer this type of question, we need to set up equal terms so that we're comparing "apples to apples". One way we can do that with this problem is to look at the price per tea bag. We can set up the math for this in this manner:

Price / number of tea bags = price per tea bag

For the two options:

134.30 / 16 =  8.39 units of currency per tea bag

169.89 / 24 = 7.08 units of currency per tea bag

There is roughly a savings of 1.30 units of currency per tea bag, which is a big savings (when looking at this in percentage terms). To look at this problem in that way, we take the savings and divide by the better price per unit:

1.30 / 7.08 = 18.4%

And so the first method of buying the tea is wildly more expensive than the second.

The only caveat on this result is that, if you are like so many people who do more collecting of tea than of drinking it, then buying less is better. However, if you are intending to drink the tea, it's far better to buy the bigger box.

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