The ratio of income of three employees A, B and C is 2:3:5. If their incomes are increased in the ratios 1:3, 2:5 and 5:7, find the ratio of their new income.

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Solution

Let the incomes of the employees A, B and C be 2x, 3x and 5x respectively.

Ratio by which A's income increases = 1:3
New income of A = 2x $\times$ (3/1) = 6x

Ratio by which B's income increases = 2:5
New income of B = 3x $\times$ (5/2) = 15x/2

Ratio by which C's income increases = 5:7
New income of C = 5x $\times$ (7/5) = 7x

Ratio of new income of A:B:C = 6x : 15x/2 : 7x
Simplifying the ratios, the ratio obtained = 12:15:14

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