The savings of ramesh and varun are in the ratio 3 : 2, while their expenditures are in the ratio 3 : 4 in the same order. Also the ratio of their incomes in the given order is 4 : 5. What is the ratio of saving of ramesh to his expenditure?
Answers
Answer:
let savings be 3x and 2x and expenditure be 3y and 4y therefore form 2 equation 3x- 3y = 4 , 2x-4y= 5. then find answer
Given:
Ratio of Ramesh's and Varun's saving = 3 : 2
Ramesh = 3x
Varun = 2x
Ratio of Ramesh's and Varun's expenditure = 3 : 4
Ramesh = 3y
Varun = 4y
Ratio of Ramesh's and Varun's icome = 4 : 5
3x + 3y = 4
2x + 4y = 5
Solve x and y:
3x + 3y = 4 ------------- [ 1 ]
2x + 4y = 5 ------------- [ 2 ]
[ 1 ] x 2 : 6x + 6y = 8 ------------- [ 3 ]
[ 2 ] x 3 : 6x + 12y = 15 ------------- [ 4]
[ 4 ] - [ 3 ]:
(6x + 12y) - (6x + 6y) = 15 = 8
6x + 12y - 6x - 6y = 15 = 8
6y = 7
y = 7/6
Sub y = 7/6 into [ 1 ]:
3x + 3(7/6) = 4
3x = 4 - 7/2
3x = 1/2
x = 1/6
Find the ratio of Ramesh's saving to expenditure:
Saving : Expenditure = 3x : 3y
Saving : Expenditure = 3(1/6) : 3(7/6)
Saving : Expenditure = 3/6 : 21/6
Saving : Expenditure = 3 : 21
Saving : Expenditure = 1 : 7
Answer: 1 : 7