Question

The income of a, b, and c are in the ratio 8 : 15 : 12. if their incomes be changed such that the new income of a is 50% increased, 20% increased for b and 25% increase for c. find the ratio of their new incomes

a. 4:6:5
b. 28:23:21
c. 4:5:3
d. 18:23:21

Answer 1

The correct answer is A. The ratio of their new incomes is 4 : 6 : 5.

Step-by-step explanation:

Let's assume the original incomes of A, B, and C are given by 8x, 15x, and 12x respectively, where x is a common multiple that simplifies the ratio. After adjusting the incomes as stated, A's new income will be (8x)(1.50) = 12x, B's new income will be (15x)(1.20) = 18x, and C's new income will be (12x)(1.25) = 15x.

The ratio of their new incomes can be calculated by dividing each income by the lowest income:

A: 12x/12x = 1

B: 18x/12x = 3/2 = 1.5

C: 15x/12x = 5/4 = 1.25

So, the ratio of their new incomes is 1 : 1.5 : 1.25, which simplifies to 4 : 6 : 5.