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09 Oct 2023, 01:30
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
61% (01:54) correct
39%
(01:58)
wrong
based on 219
sessions
History
Date
Time
Result
Not Attempted Yet
At a store, the average price of German nutcrackers is $225 while the average price of the total nutcrackers is $205. Calculate the average price of non-German nutcrackers?
(1) The combined price of all the nutcrackers is $2050.
(2) 60% of the nutcrackers in the store are German.
(1) The combined price of all the nutcrackers is $2050.
(2) 60% of the nutcrackers in the store are German.
10 Oct 2023, 07:53
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At a store, the average price of German nutcrackers is $225 while the average price of the total nutcrackers is $205.
(Let NC denote nutcrackers to help us not go nuts while writing the solution!)
Let there be x number of German NC and y number of non-German NC
Let average price of non-German NC = z
=> Avg price of German NC * No. of German NC + Avg price of non-German NC = Avg price of all NC * Total number of NCs
=> 225 * x + z * y = 205 * (x+y) ...(1)
[ so we need to find values of z to get the answer ]
Calculate the average price of non-German nutcrackers?
STAT 1: The combined price of all the nutcrackers is $2050.
=> Avg price of all NC * Total number of NCs = 2050
=> 205 * (x+y) = 2050
=> x + y = 10
But we do not know the value of z
=> NOT SUFFICIENT
STAT 2: 60% of the nutcrackers in the store are German.
=> % of non-German NC = 40%
=> Ratio of German to Non-German NC = \(\frac{60}{40}\) = 1.5
=> \(\frac{x}{y}\) = 1.5
=> x = 1.5y
Substituting in 1 we get
225 * (1.5y) + z * y = 205 * (1.5y+y)
=> 225*1.5 + z = 205*2.5 = 512.5
=> z = 175
=> SUFFICINET
So, Answer will be B
Hope it helps!
(Let NC denote nutcrackers to help us not go nuts while writing the solution!)
Let there be x number of German NC and y number of non-German NC
Let average price of non-German NC = z
=> Avg price of German NC * No. of German NC + Avg price of non-German NC = Avg price of all NC * Total number of NCs
=> 225 * x + z * y = 205 * (x+y) ...(1)
[ so we need to find values of z to get the answer ]
Calculate the average price of non-German nutcrackers?
STAT 1: The combined price of all the nutcrackers is $2050.
=> Avg price of all NC * Total number of NCs = 2050
=> 205 * (x+y) = 2050
=> x + y = 10
But we do not know the value of z
=> NOT SUFFICIENT
STAT 2: 60% of the nutcrackers in the store are German.
=> % of non-German NC = 40%
=> Ratio of German to Non-German NC = \(\frac{60}{40}\) = 1.5
=> \(\frac{x}{y}\) = 1.5
=> x = 1.5y
Substituting in 1 we get
225 * (1.5y) + z * y = 205 * (1.5y+y)
=> 225*1.5 + z = 205*2.5 = 512.5
=> z = 175
=> SUFFICINET
So, Answer will be B
Hope it helps!
03 Oct 2025, 06:20
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A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.
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A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.
This post was generated automatically.
