The monthly income of A and B are in the ratio 3:4 and their monthly expenditure are in the ratio 5:7. If each saves rupees 5,000 month. Find the monthly income each.
Answers
Answer:
A- 30000
B-40000
Step-by-step explanation:
Their monthly expenditures are in the ratio 5:7. Let Their monthly expenditures are 5y and 7y respectively. Each saves ₹ 5,000 per month. Since the income of A and B are 3x and 4x, therefore the income of A is 30000 and the income of y is 40000.
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Answer:
monthly income of A person = 3x
monthly income of B person = 4x
monthly expenditure of A = 5y
monthly expenditure of B = 7y
3x+5y = 5000 ----- 1st
4x+7y = 5000 -----2nd
1st × 4
12x + 20y = 20000 ------3rd
2nd × 3
12x + 21y = 15000 ------4th
solve 3 rd and 4 th equation
12x + 20y = 20000 -( 12x + 21y = 15000)
-y = 5000
y = 5000
monthly income = x
y = -5000
sub in 2nd equation
4x+7y = 5000
4x -35000 = 5000
4x = 40000
x = 10000
monthly income of A = 3x = 30000
monthly income of B = 5x = 50000