Question
Download Solution PDFThe salaries of A, B and C are in the ratio of 1 ∶ 3 ∶ 4 respectively. If their salaries are increased by 5%, 10% and 15% respectively, then their increased salaries will be in the ratio of:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The salaries of A, B, and C are in the ratio of 1 ∶ 3 ∶ 4.
Increases in salaries: A by 5%, B by 10%, and C by 15%.
Formula Used:
New Salary = Original Salary × (1 + Percentage Increase)
Calculation:
Let the original salaries of A, B, and C be 1x, 3x, and 4x respectively.
New salary of A = 1x × (1 + 5/100)
New salary of A = 1x × 1.05
New salary of A = 1.05x
New salary of B = 3x × (1 + 10/100)
New salary of B = 3x × 1.10
New salary of B = 3.30x
New salary of C = 4x × (1 + 15/100)
New salary of C = 4x × 1.15
New salary of C = 4.60x
The new salaries are in the ratio:
1.05x : 3.30x : 4.60x
To simplify, divide each term by x:
1.05 : 3.30 : 4.60
To get whole numbers, multiply each term by 20:
1.05 × 20 : 3.30 × 20 : 4.60 × 20
21 : 66 : 92
The increased salaries will be in the ratio of 21 ∶ 66 ∶ 92.
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