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Patrick purchased 80 pencils and sold them at a loss equal
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30 Apr 2019, 01:02
30 Apr 2019, 01:02
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Question Stats:
33% (01:16) correct
66% (01:32) wrong based on 121 sessions
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Patrick purchased 80 pencils and sold them at a loss equal to the selling price of 20 pencils.
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
Cost of 80 pencils |
Selling price of 100 pencils |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Re: Patrick purchased 80 pencils and sold them at a loss equal
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30 Apr 2019, 06:38
30 Apr 2019, 06:38
1
let CP of 1 pencil = 1, so CP of 80 pencils = 80
then,
CP - SP = LOSS (when it costs more than you sell it for)
Assume SP of 80 pencils to be SP, so for SP of 20 pencils it (20/80 * SP)
it is mentioned LOSS is SP of 20 pencils
substituting,
80 - SP = (20/80 * SP)
80 - SP = 1/4 * SP
80 = 5/4 * SP
SP = 64
Now this value is SP of 80 pencils, so SP of 100 pencils = (100 * 64 / 80) = 80
So answer is C.
then,
CP - SP = LOSS (when it costs more than you sell it for)
Assume SP of 80 pencils to be SP, so for SP of 20 pencils it (20/80 * SP)
it is mentioned LOSS is SP of 20 pencils
substituting,
80 - SP = (20/80 * SP)
80 - SP = 1/4 * SP
80 = 5/4 * SP
SP = 64
Now this value is SP of 80 pencils, so SP of 100 pencils = (100 * 64 / 80) = 80
So answer is C.
Re: Patrick purchased 80 pencils and sold them at a loss equal
[#permalink]
09 Jul 2019, 23:23
09 Jul 2019, 23:23
4
Number of pencils with Patrick : 80
Let us assume that cost price of 1 pencil = 1
So, the cost price of 80 pencils will be 80.
Lets assume total selling price 1 pencil = SP
Loss = Cost price – Selling price
80 – 80SP = 20SP
80 = 100SP
SP = 8/10= 4/5
QTY A : Cost price of 80 pencils = 80
QTY B: Selling price of 100 pencils = 4/5*100=80
Hence the answer is C.
Let us assume that cost price of 1 pencil = 1
So, the cost price of 80 pencils will be 80.
Lets assume total selling price 1 pencil = SP
Loss = Cost price – Selling price
80 – 80SP = 20SP
80 = 100SP
SP = 8/10= 4/5
QTY A : Cost price of 80 pencils = 80
QTY B: Selling price of 100 pencils = 4/5*100=80
Hence the answer is C.
