Question

different rates?
29. The monthly incomes of A and B are in the ratio 5:4 and their month
expenditures are in the ratio 7:5. If each saves 9000 per month fin
the monthly income of each.
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Answer 1

Answer:

A- ₹30000, B- ₹28000

Step-by-step explanation:

let income = x and expenditure = y

• so, income of A= 5x and his expenditure = 7y
• income of B = 4x and his expenditure = 5y
• savings = income - expenditure
• so, 5x - 7y = 9000
• 4x - 5y = 9000
• by equating the coefficients of x:
• 20x - 28y =36000 ...eq I
• 20x - 25y = 45000 ... eq II
• eq II - eq I:
• 3y = 9000
• y= 3000
• x = (9000 + 7y)÷ 5
• x= (9000+21000)÷5
• x = 30000÷5=6000

Therefore the monthly income of:

A = ₹5(6000)= ₹ 30000

B = ₹4(6000)= ₹ 28000