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# During the second quarter of 1984, a total of 2,976,000 domestic cars

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During the second quarter of 1984, a total of 2,976,000 domestic cars  [#permalink]

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23 Jun 2015, 00:03
1
5
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Difficulty:

25% (medium)

Question Stats:

76% (01:52) correct 24% (01:51) wrong based on 199 sessions

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During the second quarter of 1984, a total of 2,976,000 domestic cars were sold. If this was 24% greater than the number sold during the first quarter of 1984, how many were sold during the first quarter ?

A. 714,240
B. 2,261,760
C. 2,400,000
D. 3,690,240
E. 3,915,790
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Re: During the second quarter of 1984, a total of 2,976,000 domestic cars  [#permalink]

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23 Jun 2015, 10:48
1
Let number of cars sold in 1st quarter = x
Number of cars sold in 2nd quarter = 24% greater than the number sold during the first quarter = (1 + 24/100)x = 1.24 x

1.24 x = 2,976,000
=> x = 2,400,000

Hope it helps!
CharmiShah wrote:
During the second quarter of 1984, a total of 2,976,000 domestic cars were sold. If this was 24% greater than the number sold during the first quarter of 1984, how many were sold during the first quarter ?

A. 714,240
B. 2,261,760
C. 2,400,000
D. 3,690,240
E. 3,915,790

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Re: During the second quarter of 1984, a total of 2,976,000 domestic cars  [#permalink]

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23 Jun 2015, 10:54
CharmiShah wrote:
During the second quarter of 1984, a total of 2,976,000 domestic cars were sold. If this was 24% greater than the number sold during the first quarter of 1984, how many were sold during the first quarter ?

A. 714,240
B. 2,261,760
C. 2,400,000
D. 3,690,240
E. 3,915,790

straight equation 124x/100=2976000..
x=2400000.. C
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Re: During the second quarter of 1984, a total of 2,976,000 domestic cars  [#permalink]

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23 Jun 2015, 19:59
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Hi CharmiShah,

You'll see a couple of questions on Test Day that are essentially built around the idea of estimation (and NOT long-winded calculations). Sometimes the question writers literally tell you to estimate (look for the word "approximately" in the question). Here, even though we're not told to estimate, the numbers in the prompt and the 'spread' of the answer choices hint HEAVILY that you can take that approach here.

2,976,000 cars can be 'rounded off' to 3,000,000
24% can be 'rounded off' to 25% (or 1/4)

The question can be translated into the following:

A 25% increase of what number equals 3,000,000....

In algebraic terms, we would have...

(1.25)(X) = 3,000,000

Based on the given answer choices, there's only one answer that's close....

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Re: During the second quarter of 1984, a total of 2,976,000 domestic cars  [#permalink]

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23 Jun 2015, 21:32
1

$$2976000 * \frac{100}{124} = 2400000$$
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Re: During the second quarter of 1984, a total of 2,976,000 domestic cars  [#permalink]

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25 Aug 2015, 01:23
1
CharmiShah wrote:
During the second quarter of 1984, a total of 2,976,000 domestic cars were sold. If this was 24% greater than the number sold during the first quarter of 1984, how many were sold during the first quarter ?

A. 714,240
B. 2,261,760
C. 2,400,000
D. 3,690,240
E. 3,915,790

In second quarter, the same was 24% GREATER. Thus, any option greater than the states value 2,976,000 is WRONG.
This rules out D and E.

It is easy to deduce that 24% of A cannot be equal to 2,976,000. A is OUT.

Options left are B and C. B seems complicated with the computation. So lets check for C.
24% = 124/100. We just need to check for the first few digits. So, we check for 124*24 = 2976.
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Re: During the second quarter of 1984, a total of 2,976,000 domestic cars  [#permalink]

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19 Dec 2015, 10:07
Cars sold in Q2 2976,000
Assume cares sold in Q1 x

equation formed

1.24X = 2976,000

Use PITA: Plugin Aswers:

A is too low. D and E is high and could not possible. Eliminate answers.
Come down to 50-50 choice.
In 2400,000 * 1.24 last digits 4 * 4 = 16. 6 match with 2976,000
where as
last digit 6 * 4 =24 4 does not match with 2976,000

So, without even making large calculation, Answer C is correct.
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During the second quarter of 1984, a total of 2,976,000 domestic cars  [#permalink]

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31 May 2017, 15:22
best approach is to think logically...
if 2.9mln is 1.24 of smth, then clearly that smth will be less than 2.9mln.
D and E are right away eliminated.
since 24% is not that much, I would suspect the number to be somewhere in the 2mlns+
A is out.
let's take 2.4 mln, since it's an even number
240,000 will be 10%
480,000 will be 20%
so +20% will be 2,880,000
i say pretty close.
B would be too little, therefore, C is the answer!
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Re: During the second quarter of 1984, a total of 2,976,000 domestic cars  [#permalink]

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05 Jun 2017, 16:07
CharmiShah wrote:
During the second quarter of 1984, a total of 2,976,000 domestic cars were sold. If this was 24% greater than the number sold during the first quarter of 1984, how many were sold during the first quarter ?

A. 714,240
B. 2,261,760
C. 2,400,000
D. 3,690,240
E. 3,915,790

We are given that 2,976,000 sold is 24% greater than the number of cars sold in the first quarter. If we let q = the number of cars sold in the first quarter, then:

1.24q = 2,976,000

q = 2,976,000/1.24

q = 2,400,000

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Re: During the second quarter of 1984, a total of 2,976,000 domestic cars  [#permalink]

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27 Jul 2018, 09:30
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Re: During the second quarter of 1984, a total of 2,976,000 domestic cars &nbs [#permalink] 27 Jul 2018, 09:30
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