The ratio of the monthly incomes of A and B is 4:3 . The ratio of their monthly expenditures is 5:4 . If A saves one fourth of his monthly income, find the ratio of their monthly savings.
Help me solving this please!!
A makes 4x
B makes 3x
A saves 3x/4
So, A spends 4x - 3x/4 = 13x/4
B spends (4/5)(13x/4) = 13x/5
So, B saves 3x - 13x/5 = 2x/5
The savings ratio is thus
(3x/4):(2x/5) = 15:8
To solve this problem, let's assign variables to the monthly incomes of A and B. Let's say A's monthly income is 4x and B's monthly income is 3x.
We are given that the ratio of their monthly expenditures is 5:4. So, A's monthly expenditure can be represented as 5y and B's monthly expenditure as 4y.
Now, we are also given that A saves one-fourth of his monthly income. So, A's monthly saving is 1/4 * 4x = x.
To find the ratio of their monthly savings, we need to calculate B's monthly saving.
Since A's monthly saving is x, we can subtract A's saving from his income to get his expenditure:
4x - x = 3x
Similarly, we can calculate B's saving by subtracting his expenditure from his income:
3x - 4y = B's saving
Now, we need to find the ratio of A's saving to B's saving:
Ratio of A's saving to B's saving = x : (3x - 4y)
Therefore, the ratio of their monthly savings is x : (3x - 4y).