Test Index

Ratio and Proportion

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Question : 28 of 112

Marks: +1, -0

The salaries of A, B, C are in the ratio

2 : 3 : 5

. If the increments of 15%, 10% and 20% are allowed respectively in their salaries, then what will be the new ratio of their salaries?

$3 : 3 : 10$
$10 : 11: 20$
$23 : 33 : 60$
Cannot be determined.

Solution:

Concept:

Use percentage increments on the assumed salaries to find the new ratio.

Explanation:

Let the initial salaries of A, B, and C be

2x

,

3x

, and

5x

respectively.

A's increment:

15\%

of

2x = 0.15 \times 2x = 0.3x

, so new salary =

2x + 0.3x = 2.3x

.

B's increment:

10\%

of

3x = 0.1 \times 3x = 0.3x

, so new salary =

3x + 0.3x = 3.3x

.

C's increment:

20\%

of

5x = 0.2 \times 5x = 1.0x

, so new salary =

5x + 1.0x = 6.0x

.

New ratio =

2.3x : 3.3x : 6.0x

.

Multiply each term by 10 to remove decimals:

23x : 33x : 60x

, i.e.,

23 : 33 : 60

.

Answer:

23 : 33 : 60

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