Question 1073108: explain the total income of x and y is Rs.9000 x spends 60% of his income and y spends 80% of his income.If their savings are equal ,then the income of x is??
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! x + y = 9000
x represents the amount of money that person A makes, i.e. his income.
y represents the amount of money that person B makes, i.e. his income.
person A spends 60% of his income.
therefore, what he has left is 40% of his income.
this represent his savings.
this can be shown as .4x
person B spends 80% of his income.
therefore, what he has left is 20% of his income.
this represents his savings.
this can be shown as .2y
you are given that their savings are equal.
.4x = .2y
you have 2 equations that need to be solved simultaneously.
they are:
x + y = 9000
.4x = .2y
this can be solved by substitution fairly easily.
solve for y in the first equation to get:
y = 9000 - x
replace y with 9000 - x in the second equation to get:
.4x = .2 * (9000 - x)
simplify to get:
.4x = 1800 - .2x
add .2x to both sides of this equation to get:
.6x = 1800
divide both sides of this equation by .6 to get:
x = 1800 /.6 = 3000
since x + y = 9000, then y = 6000
you have:
income of person A is 3000
income of person B is 6000
person A spends 60% of 3000 and is therefore left with 40% of 3000 which is equal to 1200.
person B spends 80% of 6000 and is therefore left with 20% of 6000 which is equal to 1200.
their savings are equal.
you are asked for the income of x.
x represents the income for person A which is equal to 3000.
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