AbdurRakib wrote:
In a certain order,the pretex price of each regular pencil was $0.03,the pretex price of each deluxe pencil was $0.05,and there were 50% more deluxe pencils than regular pencils.All taxes on the order are a fixed percent of the pretex prices.The sum of the total pretex price of the order and the tax on the order was $44.10.What was the amount,in dollars,of the tax on the order?
(1) The tax on the order was 5% of the total pretex price of the order.
(2) The order contained exactly 400 regular pencils.
OG Q 2017 New Question(Book Question: 222)
As per question statement :
Price of Regular Pencil = 0.03/pencil
Price of Deluxe pencil = 0.05/pencil
# of Deluxe Pencil (D) in the Order = 50% More that # of Regular Pencil (R) => D = 1.5R
Also, there is a Tax (T) of a fixed percent on the pretex price (Total Price)
And finally : Total order value = 44.10
There fore we can write the equation :
0.05*D + 0.03*R + T = 44.10
(Huuufff .. this was too much data)
Now, we are asked to find the amount of Tax (T) on the order.
Lets see statement - 1 : The tax on the order was 5% of the total pretex price of the order.
So, from this we can deduce that 44.10 contains 5% of the tax in it.
So, 44.10 = 105% of (0.05*D + 0.03*R)
Lets call this 0.05*D + 0.03*R = X
44.10 = 105% of (X)
So we will get X
and on subtracting X from 44.10 we will get the Tax T
So statement - 1 is sufficient
Lets see statement - 2 : The order contained exactly 400 regular pencils
So R = 400
and from question statement D = 1.5R, we can get D also.
Plugging these values in equation
0.05*D + 0.03*R + T = 44.10, we can get T.
So statement - 2 is also sufficient ...
So answer Choice D.
Please note that we are NOT calculating any values ...
All this is just to get my first kudos on GMAT Club...
Please be generous if this help...
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