Let 1990 value of expenditure be 100
1990 = 5% change
Prior 1990 = 1989 value = x
1990 value - 1989 value / 1989 value * 100 = % change
(100 - x)*100 / x = 5
(100-x)100 = 5x
10,000-100x = 5x
10,000 = 105x
X = 95.23 (1989 value)
=> 1989 value = 95.23 (Not to be considered)
=> 1990 value = 100
1991 value - 1990 value / 1990 value * 100 = % change
(1991 value - 100)100 / 100 = 5
(1991 value*100 - 10,000 = 500)
(1991 value*100 = 10500)
1991 value = 105
=> 1991 value = 105
=> 1992 value = 105*105% = 110.25
=> 1993 value = 110.25*109% = 120.1725
=> 1994 value = 120.1725*99% = 118.970
=> 1995 value = 118.970*99% = 117.78
=> 1996 value = 117.78*102% = 120.14
=> 1997 value = 120.14*104% = 125
1) among all the least value is 100 of year 1990
Hence Option A
2) highest value is 125 in year 1997
Hence option D
3) the greatest dollar decline is in year 1994.
1993 value is 120.17
1994 value is 118.97
Difference is 1.2 value.
While,
1994 value is 118.97
1995 value is 117.78
Difference is 1.19 (lower than 1994)
Answer is option B
Hence answers are options A,D and B
kntombat hopefully this helps.
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