The strength of a school is increased by 30% in the first year and decreased by 10% in the
second year. If the strength of the school, now, is 1404. Find the original strength of the
school.
Answers
Percentage (increase) in the first year = 30%
percentage (decrease) in the second year = 10%
Strength after second year = 1404
Let x be the initial strength...
then x + 30% = Strength at the end of the first year
x + 30%of x = x + 0.3x = 1.3x
and it will be the strength at the beginning of the second year...
Percentage decrease= 10%
so 1.3x - 10% = strength at the end of the second year
1.3x - 10%(1.3x) = 1404
1.3x - 0.13x = 1404
1.17x = 1404
x = 1404/1.17 = 1200 is the original/initial strength.
Percentage (increase) in the first year = 30%
percentage (decrease) in the second year = 10%
Strength after second year = 1404
Let x be the initial strength...
then x + 30% = Strength at the end of the first year
x + 30%of x = x + 0.3x = 1.3x
and it will be the strength at the beginning of the second year...
Percentage decrease= 10%
so 1.3x - 10% = strength at the end of the second year
1.3x - 10%(1.3x) = 1404
1.3x - 0.13x = 1404
1.17x = 1404
x = 1404/1.17 = 1200 is the original/initial strength.
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