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# The apartment on King-Williams street is an asset that its value is

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Math Expert
Joined: 02 Sep 2009
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The apartment on King-Williams street is an asset that its value is  [#permalink]

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21 Jun 2016, 02:09
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Difficulty:

35% (medium)

Question Stats:

74% (02:19) correct 26% (02:32) wrong based on 75 sessions

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The apartment on King-Williams street is an asset that its value is tramping about. From the year 1973 to 1983 it's value decreased by 16% and from 1983 to 1993 it's value increased by 16%. What is the value of the asset in 1993 if in 1973 it was worth \$40,000?

A. \$38,796.
B. \$40,000.
C. \$38,976.
D. \$39,679.
E. \$36,796.

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Re: The apartment on King-Williams street is an asset that its value is  [#permalink]

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21 Jun 2016, 06:10
40000 * 0.84 * 1.16 = 38976
option c
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Re: The apartment on King-Williams street is an asset that its value is  [#permalink]

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21 Jun 2016, 07:41
Bunuel wrote:
The apartment on King-Williams street is an asset that its value is tramping about. From the year 1973 to 1983 it's value decreased by 16% and from 1983 to 1993 it's value increased by 16%. What is the value of the asset in 1993 if in 1973 it was worth \$40,000?

A. \$38,796.
B. \$40,000.
C. \$38,976.
D. \$39,679.
E. \$36,796.

40,000 *1.16*.84= Unit and tens digit of the expression is 6 and 7 respectively.
Only option C fulfills the condition and hence is the answer
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Re: The apartment on King-Williams street is an asset that its value is  [#permalink]

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22 Jun 2016, 02:21
Bunuel wrote:
The apartment on King-Williams street is an asset that its value is tramping about. From the year 1973 to 1983 it's value decreased by 16% and from 1983 to 1993 it's value increased by 16%. What is the value of the asset in 1993 if in 1973 it was worth \$40,000?

A. \$38,796.
B. \$40,000.
C. \$38,976.
D. \$39,679.
E. \$36,796.

Value in 1973 = 40000
Value in 1983 = 0.84*40000 = 33600
Value in 1993 = 1.16*33600 = \$38976

Correct Option: C
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Re: The apartment on King-Williams street is an asset that its value is  [#permalink]

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22 Jun 2016, 03:19
Bunuel wrote:
The apartment on King-Williams street is an asset that its value is tramping about. From the year 1973 to 1983 it's value decreased by 16% and from 1983 to 1993 it's value increased by 16%. What is the value of the asset in 1993 if in 1973 it was worth \$40,000?

A. \$38,796.
B. \$40,000.
C. \$38,976.
D. \$39,679.
E. \$36,796.

Value = 40000 * {1- (16/100)}{1+(16/100)} = 40000 * (1- 256/10000) = 40000 - 4*256 = 40000 (-) 1024 = 38976

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Re: The apartment on King-Williams street is an asset that its value is  [#permalink]

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22 Jun 2016, 04:10
Hi Divya... What is the shortcut method to get Units and Tens digit ...

40,000 *1.16*.84= Unit and tens digit of the expression is 6 and 7 respectively.
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Re: The apartment on King-Williams street is an asset that its value is  [#permalink]

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23 Jun 2016, 01:00
HMC wrote:
Hi Divya... What is the shortcut method to get Units and Tens digit ...

40,000 *1.16*.84= Unit and tens digit of the expression is 6 and 7 respectively.

There is no shortcut as such. You need to look out for the numbers that are being multiplied
40,000 *1.16*.84 = 4*116*84

The units digit will be the last digit of multiplication of 4*6*4 = 96
Now for the hundreds digit, we need to multiply 8*1 = 8 and add the 9 from the result of units digit multiplication.
Hence tens digit = 8 + 9 = 7

Units digit = 6
tens digit = 7
Re: The apartment on King-Williams street is an asset that its value is   [#permalink] 23 Jun 2016, 01:00