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The salaries of X, Y, and Z are in the ratio 10 : 20 : 20. If the increments of 82%, 50%, and 19% are allowed respectively in their salaries, wha
Question

The salaries of X, Y, and Z are in the ratio 10 : 20 : 20. If the increments of 82%, 50%, and 19% are allowed respectively in their salaries, what will be the new ratio of their salaries?​

A.

88 : 151 : 123

B.

91 : 150 : 119

C.

90 : 153 : 126

D.

92 : 154 : 120

Correct option is B

Given:

Initial Salary Ratio = X : Y : Z = 10 : 20 : 20

Increments:

X = 82%, Y = 50%, Z = 19%

Formula Used:

New Salary = Old Salary × (1 + Percentage Increase/100)

Solution:

X's new salary = 10×(1+82100)=10×1.82=18.210 × (1 + \frac{82}{100}) = 10 × 1.82 = 18.2​​

Y's new salary = 20×(1+50100)=20×1.5=3020 × (1 + \frac{50}{100}) = 20 × 1.5 = 30​​

Z's new salary = 20×(1+19100)=20×1.19=23.8 20 × (1 + \frac{19}{100}) = 20 × 1.19 = 23.8​​

New Salary Ratio = 18.2 : 30 : 23.8

Simplified Ratio = 91 : 150 : 119

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