three-fourth of jimm's estate is valued at 40% more than two-third the value of jhon's estate. if the value of jhons estate is increased by 20% and jim's esate value depreciates by 10% , by how much % will jim''s estate be woth more or less than jhons estate
Answers
Given : three-fourth of jimm's estate is valued at 40% more than two-third the value of jhon's estate.
the value of jhons estate is increased by 20% and jim's esate value depreciates by 10% ,
To Find : by how much % will jim''s estate be woth more or less than jhons estate
Solution:
Let say john estate. value = x
Jimm = y
(2/3)x + (40/100)(2/3)x = (3/4)y
=> (2/3)x (1.4) = (3/4)y
=> 8x(1.4) = 9y
=> 11.2x = 9y
=>
jhons estate is increased by 20%
=> x + (20/100) = 1.2x
jim's esate value depreciates by 10% ,
=> y - (10/100)y = 0.9y
=> 9y/10
= 11.2x/10
= 1.12x
jhons estate = 1.2x
jim's esate = 1.12 x
jim's esate less than jhons estate = 1.2x - 1.12x = 0.08x
in % = ( 0.08x/ 1.2x) * 100 = 6.67 %
jim''s estate be worth 6.67 % less than jhons estate
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