The income of A is 60% less than that of B, and the expenditure of A is equal to 60%of B’s expenditure. If A’s income is equal to 70% of B’s expenditure, then whatis the ratio of the savings of A and B?

Let the income of B be 100.

Income of A = 100 $$\times$$ 40/100 = 40

A’s income is equal to 70% of B’s expenditure so,

40 =  70% of B’s expenditure

Expenditure of B = \frac{40}{70} \times 100 = 57.14 = 400/7

Saving of B = 100 - 400/7 = 300/7

The expenditure of A is equal to 60%of B’s expenditure so,

Expenditure of A = 60% of B’s expenditure

Expenditure of A = 60 $$\times \frac{400}{7 \times100}$$ = 240/7

Saving of A = 40 - 240/7 = 40/7

The ratio of the savings of A and B = 40/7 : 300/7 = 2 : 15