Allie has an income which is five eighths that of Basil. Allie's expenses are one-half those of Basil and Allie saved 40% of his income. What is the percentage of his income that Basil saves?

25%?

To find the percentage of Basil's income that he saves, we need to determine Basil's income.

Let's assume Basil's income is X.

Allie's income is five eighths that of Basil, so Allie's income is (5/8) * X.

Allie's expenses are one-half that of Basil, so Allie's expenses are (1/2) * X.

Allie saved 40% of his income, so Allie's savings are (40/100) * (5/8) * X.

Since savings = income - expenses, we can set up the equation:

(40/100) * (5/8) * X = (5/8) * X - (1/2) * X

Simplifying, we get:

(2/5) * X = (5/8) * X - (1/2) * X

Multiplying both sides by 40, we get:

16X = 25X - 20X

Simplifying further, we get:

16X = 5X

Dividing both sides by X, we get:

16 = 5

This is not possible, so there is likely an error in the given information or calculations. The percentage of Basil's income that he saves cannot be determined with the provided information.

To find the percentage of Basil's income that he saves, we first need to determine the percentage of Allie's income that he saves.

We know that Allie saved 40% of his income. Let's say Allie's income is represented as x. Therefore, Allie saved 40% of x, which is 0.4x.

We also know that Allie's income is five eighths that of Basil's income. If Allie's income is x, then Basil's income would be (8/5)x.

Now, let's determine the expenses of Allie and Basil. We know that Allie's expenses are one-half those of Basil's. If Allie's expenses are y, then Basil's expenses would be 2y.

To find out the amount that Basil saves, we can subtract Allie's expenses and savings from his income:

Basil's income - Allie's expenses - Allie's savings

(8/5)x - 2y - 0.4x

Simplifying, we get:

(8/5)x - 2y - 0.4x = (0.8x - 2y)

Therefore, Basil saves (0.8x - 2y) out of his income.

Since we don't have specific values for Allie's income or expenses, we can't determine the exact percentage of Basil's income that he saves. However, we can conclude that the answer is not 25% based on the given information.

Plug in some numbers:

A makes 25, saves 10, so spends 15
B makes 40, spends 30, saves 10, or 25%