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The number of cars present at a particular time was measured at 3,999 different locations on Tuesday and on Wednesday. The number of locations that had more cars on Wednesday was 15% higher than the number of locations that had more cars on Tuesday. How many of the locations had more cars on Tuesday?

A. 1,159
B. 1,333
C. 1,860
D. 2,460
E. 2,829

Proper version of this question from OG13: yesterday-s-closing-prices-of-2-420-different-stocks-listed-138933.html

Topic is locked.
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*** please note that thisquestions has been asked before but the topic was locked ***

The number of cars present at a particular time was measured at 3,999 different locations on Tuesday and on Wednesday. The number of locations that had more cars on Wednesday was 15% higher than the number of locations that had more cars on Tuesday. How many of the locations had more cars on Tuesday?


1,159

1,333

1,860

2,460

2,829

I am unable to understand the logic that higher-on-tuesday locations plus higher-on-wednesday locations is 3999.

and this iswhere i am getting stuck.

my logic:

total locs=3999. X is the number of higher locs and Y are the rest, thus

x+y=3999

if x increases by 15% this means x->1.15x
and if the number of higher locations increases, then the rest must drop by 15%, thus y->.85y

so we have

1. x+y=3999
2. 1.15x + .85y = 3999

What is wrong with my logic!!
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Mansoor50
*** please note that thisquestions has been asked before but the topic was locked ***

The number of cars present at a particular time was measured at 3,999 different locations on Tuesday and on Wednesday. The number of locations that had more cars on Wednesday was 15% higher than the number of locations that had more cars on Tuesday. How many of the locations had more cars on Tuesday?


1,159

1,333

1,860

2,460

2,829

I am unable to understand the logic that higher-on-tuesday locations plus higher-on-wednesday locations is 3999.

and this iswhere i am getting stuck.

my logic:

total locs=3999. X is the number of higher locs and Y are the rest, thus

x+y=3999

if x increases by 15% this means x->1.15x
and if the number of higher locations increases, then the rest must drop by 15%, thus y->.85y

so we have

1. x+y=3999
2. 1.15x + .85y = 3999

What is wrong with my logic!!

The problem with your logic is as follows :
Since you have assumed x to be the locations which has more cars on Tuesday,
and y are the rest of the location
Hence, x + y =3999 is correct.

When 15% of the locations have more cars on Wednesday,
the number of locations reducing in y is not necessary 15%.
So writing 1.15x + 0.85y = 3999 is wrong.
The reason is the percentage decrease in y will be 15% only if x=y
But, that is not possible since we cannot have a fraction as the number of locations!

Now coming to the solution :

x+y = 3999
On Wednesday, there is a 15% increase in the locations,
going by the answer choices for the locations that had more cars on Tuesday.
Only 1860 or 2460 is possible, since 15% of the other 3 answer options will not yield an integer.

The increase in the locations in x must be equal to the decrease in location of y(in order for the sum to be 3999)
Testing 1860, 15% is 279. Hence making the total 2139(which is 1860 lesser than 3999)
1860(x) + 2139(y) = 2139(x) + 1860(y) = 3999
Hence, Option C is the correct answer.

Hope it helps!
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Mansoor50
*** please note that thisquestions has been asked before but the topic was locked ***

The number of cars present at a particular time was measured at 3,999 different locations on Tuesday and on Wednesday. The number of locations that had more cars on Wednesday was 15% higher than the number of locations that had more cars on Tuesday. How many of the locations had more cars on Tuesday?


1,159

1,333

1,860

2,460

2,829

I am unable to understand the logic that higher-on-tuesday locations plus higher-on-wednesday locations is 3999.

and this iswhere i am getting stuck.

my logic:

total locs=3999. X is the number of higher locs and Y are the rest, thus

x+y=3999

if x increases by 15% this means x->1.15x
and if the number of higher locations increases, then the rest must drop by 15%, thus y->.85y

so we have

1. x+y=3999
2. 1.15x + .85y = 3999

What is wrong with my logic!!

This is a poor quality question as explained here: the-number-of-cars-present-at-a-particular-time-was-measured-at-199201.html#p1533976 So, you can ignore it and move on.

Proper version of this question from OG13: yesterday-s-closing-prices-of-2-420-different-stocks-listed-138933.html

Topic is locked.

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