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The number of four wheelers sold in a year vary inversely with the num

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Joined: 02 Sep 2009
Posts: 61403
The number of four wheelers sold in a year vary inversely with the num  [#permalink]

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16 Jan 2020, 03:21
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Difficulty:

35% (medium)

Question Stats:

71% (01:57) correct 29% (02:15) wrong based on 31 sessions

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The number of four wheelers sold in a year vary inversely with the number of two wheelers sold in that year. If 4000 four wheelers were sold in one particular year, 21000 two wheelers were sold that year. How many two wheelers were sold in a year, when 6000 four wheelers were sold?

A. 12000
B. 12500
C. 13000
D. 13500
E. 14000

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Location: India
Concentration: Sustainability, Marketing
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Re: The number of four wheelers sold in a year vary inversely with the num  [#permalink]

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16 Jan 2020, 07:35
given
4000 = k * 1/21000
k = 84 * 10^6
now
twh = 84*10^6/ 6000 ; 14,000
IMO E

Bunuel wrote:
The number of four wheelers sold in a year vary inversely with the number of two wheelers sold in that year. If 4000 four wheelers were sold in one particular year, 21000 two wheelers were sold that year. How many two wheelers were sold in a year, when 6000 four wheelers were sold?

A. 12000
B. 12500
C. 13000
D. 13500
E. 14000
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Re: The number of four wheelers sold in a year vary inversely with the num  [#permalink]

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18 Jan 2020, 12:51
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1
Bunuel wrote:
The number of four wheelers sold in a year vary inversely with the number of two wheelers sold in that year. If 4000 four wheelers were sold in one particular year, 21000 two wheelers were sold that year. How many two wheelers were sold in a year, when 6000 four wheelers were sold?

A. 12000
B. 12500
C. 13000
D. 13500
E. 14000

Recall that if y varies inversely with x, we let k = the constant of proportionality, and we set up the following equation:

y = k * (1/x) = k/x

For this question, we can create the equation:

4000 = k/21,000

k = 4000 * 21,000

Now we can let x = the number of two wheelers sold when 6000 four wheelers were sold and create the equation:

6000 = (4000 * 21,000) / x

6000x = 4000 * 21,000

6x = 4 * 21,000

x = 14,000

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Re: The number of four wheelers sold in a year vary inversely with the num   [#permalink] 18 Jan 2020, 12:51
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