The ratio of the income of Ashok and Amit is it is 8:9 the ratio of their experience is 9: 11 if each one save 28000 find their income
Answers
Answer:
Ashok's income = Rs. 36000
Amit's income = Rs. 44000
Step-by-step explanation:
Ratio of income = 8 : 9
Let the multiplying factor be 'x'
Therefore, Ashok's income = 8x and Amit's income = 9x
Ratio of their expenses = 9 : 11
Let the multiplying factor be 'y'
Therefore, Ashok's income = 9y and Amit's income = 11y
Money saved by Ashok = 28000
Money saved by Amit= 28000
We know that Saving = Income - Expenditure
Therefore, for Ashok, 28000 = 8x - 9y --(i)
Therefore, for Amit, 28000 = 9x - 11y --(ii)
Solving these two equations, simultaneously,
Equation (i) * 11 and equation (ii) * 9
=> 308000 = 88x - 99y
=> 252000 = 81x - 99y
Subtracting both the equations, we get,
56000 = 7x
=> x = 56000/7
=> x = 8000
Substituting the value of x in equation (i), we get,
28000 = 8*8000 - 9y
=> 28000 = 64000 - 9y
=> 9y = 64000 - 28000
=> 9y = 36000
=> y = 36000/9
=> y = 4000
Therefore,
Ashok's income = 9y = 9*4000 = 36000
Amit's income = 11y = 11*4000 = 44000