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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
85%
(hard)
Question Stats:
59% (03:17) correct
41%
(03:13)
wrong
based on 352
sessions
History
Date
Time
Result
Not Attempted Yet
The mean weight of 12 packages a retailer needs to ship on Monday is 10 ounces. The retailer pays 50 cents per ounce on shipping, plus one dollar per package for insurance on five of the packages. If two additional packages must be shipped on Monday, the percent increase on the retailer’s shipping cost for that day is less than 20% if neither package is insured and greater than 20% if one package is insured. What is the combined weight of the two additional packages, in ounces ?
A) 23
B) 24
C) 25
D) 26
E) 27
Arithmetic: Percents and word problem
A) 23
B) 24
C) 25
D) 26
E) 27
Arithmetic: Percents and word problem
24 Aug 2019, 08:54
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LeenaSai
Total cost for 12 packages including insurance for 5 packages is 65 ( 12 *.5 + 1*5) and 20% of 65= 13
Let cost of 2 additional packages be x ounces then without insurance cost is x*.5\(<\)13 \(\Rightarrow\) x<26
with insurance of 1 packet cost is x*.5 +1 \(>\)13\(\Rightarrow\) x>24, Hence 24<x<26 -> x=25, Ans =C
21 Aug 2019, 00:31
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Quote:
The right answer here is C. This is a straightforward arithmetic problem, but it highlights how with even simple problems, there are a number of steps you have to ensure you keep getting right.
We know the mean and number of packages. This tells us that the total weight must be 120 ounces. Since an ounce is 50 cents, we can say that the cost in weight is 60 dollars. If we add a dollar insurance on 5 packs, this becomes 65 dollars.
It's important to get to this stage as a checkpoint and work from here. 20% of $65 is $13, and we know that the two extra packages cost more than $13 if one is insured, and less than $13 if neither is insured. Since insurance is just a dollar, and we've seen no gradients of less than 50 cents, we have to get something like $12.5/$13.5
$12.5 without insurance translates to 25 ounces, which is what answer C is.
Remember that the challenge is rarely going to be an entirely hard question. What you have to ensure however, is consistency across a number of straightforward steps, and this can sometimes be hard to do.
- Matoo
