Question

The salaries of A, B and C are of ratio 2:3:5. If the increments of 15%, 10% and 20% are done to their respective salaries, then find the new ratio of their salaries.

• A. 23 : 33 : 60
• B. 23 : 30 : 40
• C. 20 : 30 : 42
• D. 12 : 30 : 21

Answer 1

Answer:

A. 23 : 33 : 60

For A's Salary:

• Original Salary (relative): 2

• Increment: 15% of 2

• Calculation: 15/100 * 2 = 0.15 * 2 = 0.30

• New Salary for A: 2 + 0.30 = 2.30

For B's Salary:

• Original Salary (relative): 3

• Increment: 10% of 3

• Calculation: 10/100 * 3 = 0.10 * 3 = 0.30

• New Salary for B: 3 + 0.30 = 3.30

For C's Salary:

• Original Salary (relative): 5

• Increment: 20% of 5

• Calculation: 20/100 * 5 = 0.20 * 5 = 1.00

• New Salary for C: 5 + 1.00 = 6.00

Forming the New Ratio

• The new relative salaries of A, B, and C are 2.30 : 3.30 : 6.00.

• To express this ratio in whole numbers, we need to eliminate the decimal points. Multiply each part of the ratio by a common factor that makes them integers. In this case, multiplying by 10 will convert all numbers to integers.

• New Ratio: (2.30 * 10) : (3.30 * 10) : (6.00 * 10)

• This results in 23 : 33 : 60.