Question

Annual incomes of 'A' and 'B' are in the ratio
4:5 respectively. If the income of 'A'increases by
25% and that of 'B' increases by 20%, then what
is the new ratio of their incomes respectively?​

Answer 1

Answer: 5:6

Step-by-step explanation:

$\Large \bf Given$

• Ratio of annual incomes of A and B = 4:5
• Increase in A's income = 25%
• Increase in B's income = 20%

$\Large \bf To\: Find$

New ratio of A's and B's annual income

$\Large \bf Solution$

Let A's and B's income be 4x and 5x respectively.

Now, increase in A's income = $\frac{25}{100}\times4x$= x

Increase in B's income = $\frac{20}{100}\times5x$ = x

New annual income of A = original income + increase in income

= 4x+ x = 5x

New annual income of B = original income + increase in income

= 5x + x = 6x

Ratio of New annual incomes of A and B = 5x : 6x

$\implies \bf New\:ratio\:of\: A's\:and\:B's\:annual \:income = 5:6$