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12 Jun 2020, 01:27
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D
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Difficulty:
25%
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Question Stats:
78% (01:58) correct
22%
(02:25)
wrong
based on 54
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The price of an article increases by 10% and decreases by 10% in alternate years. By how much percent the price of the article at the end of fourth year was less than or more than that at the end of second year?
A. 11% less
B. 10% more
C. 1% more
D. 1% less
E. 10% less
A. 11% less
B. 10% more
C. 1% more
D. 1% less
E. 10% less
12 Jun 2020, 01:55
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Satishqwerty
IMO D,
Sol:
Assuming original amount=100
1st year (100*110)/100=110
2nd year (110*90)/100=99
3rd year (99*110)/100=108.9
4th year (108.9*90)/100=98.01
so 4th year is less than that of the 2nd year by about 1 % .
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12 Jun 2020, 04:57
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Let PRESENT amount be X
The Price Increase by 10% first year and then Decrease by 10% subsequent year
Price at the end of first year : x*1.1 = 1.1x
Price at the end of second year : 1.1x*0.9 = 0.99x
Price at the end of third year : 0.99x*1.1 = 1.089x
Price at the end of fourth year : 1.089x*0.9 = 0.9801x
Percent by which the price of the article at the end of fourth year was less than or more than that at the end of second year: (0.9801x-0.99x/0.99x)*100
=> (-0.0099/0.99)*100
=> -0.01*100
=> -1%
Therefore the price of article decrease 1% percent at the end of fourth year.
Answer is D
The Price Increase by 10% first year and then Decrease by 10% subsequent year
Price at the end of first year : x*1.1 = 1.1x
Price at the end of second year : 1.1x*0.9 = 0.99x
Price at the end of third year : 0.99x*1.1 = 1.089x
Price at the end of fourth year : 1.089x*0.9 = 0.9801x
Percent by which the price of the article at the end of fourth year was less than or more than that at the end of second year: (0.9801x-0.99x/0.99x)*100
=> (-0.0099/0.99)*100
=> -0.01*100
=> -1%
Therefore the price of article decrease 1% percent at the end of fourth year.
Answer is D
