The monthly incomes of A and B are in the ratio 5:4 and their monthly expenditure are in the ratio 7:5. If each saves rs 3000 per month,find the monthly income of each.(full with step).
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Answer:
A=10000 B = 8000
Step-by-step explanation:
monthly income of A and B ratio
= 5:4
let monthly income of A be =5x
the monthly income of B = 4x
the monthly expenditure of A and B ratio = 7:5
so, let monthly expenses of A = 7y
the monthly expenses of B = 5y
so, As Per Problem
5x -7y = 3000--------------1
4x -5y =3000-----------------2
multiplying 5 with equ. 1 and 7 with equ. 2 and subtracting them we get,
25x -35y -28x + 35y =15000-21000
or, -3x =-6000
or, x= 2000
so, A = 10000
B= 8000
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