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 what is the ratio of the savings of A and B ?

2 : 15

Let the income of b be Rs. 5x,

Income of A is 60% less than that of B,

\(\frac{100 - 60}{100}\) = \(\frac{2}{5}\)

Income of A = 5x - \(\frac{2}{5}\) = Rs.2x

Let the expenditure of B rs. 5y

Expenditure of A is equal to 60% of B's expenditure

\(\frac{60}{100}\) = \(\frac{3}{5}\)

Expenditure of A = 5y x (\(\frac{3}{5}\)) = 3y,

According to the question,

2x = 5y x (\(\frac{70}{100}\))

⇒ 2x = y x (\(\frac{7}{2}\))

⇒ 4x = 7y,

⇒ x : y = 7 : 4,

Savings of A = 2x - 3y = 2 x 7 - 3 x 4 = 14 - 12 = 2,

Savings of B = 5x - 5y = 5(7 - 4) = 5 x 3 = 15,

Therefore, ratio of savings A to b = 2 : 15.