Question : The salaries of X, Y, and Z are in the ratio 8 : 5 : 12. If their salaries are increased by 10%, 20%, and 30% respectively, then what will be the ratio of their increased salaries?
Option 1: 22 : 15 : 39
Option 2: 25 : 48 : 59
Option 3: 24 : 47 : 58
Option 4: 11 : 25 : 36
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Correct Answer: 22 : 15 : 39
Solution : Let the original salaries be 8$x$, 5$x$ and 12$x$. After the increment, ⇒ X's new salary $=8x + \frac{10}{100}×8x = 8x + 0.1 × 8x = 8.8x$ ⇒ Y' new salary $=5x + \frac{20}{100} ×5x = 5x + 0.2 × 5x = 6x$ ⇒ Z' new salary $=12x + \frac{30}{100} ×5x = 12x + 0.3 × 5x = 15.6x$ So, the ratio of X, Y, and Z's salaries $=8.8x:6x:15.6x = \frac{8.8x}{6x} : \frac{6x}{6x} : \frac{15.6x}{6x} = \frac{22}{15} : 1 : \frac{26}{15} = 22 : 15 : 39$ Hence, the correct answer is 22 : 15 : 39.
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Question : If (x + y) : (y + z) : (z + x) = 3 : 5 : 7 and (x + y + z) = 45, then what is the value of z?
Option 1: 18
Option 2: 30
Option 3: 27
Option 4: 20
Question : The salaries of Kabir and Vicky are in the ratio 5 : 2. If the increments of 20% and 12% are allowed respectively in their salaries, then what will be the new ratio of their salaries?
Option 1: 25 : 73
Option 2: 81 : 28
Option 3: 75 : 28
Option 4: 91 : 25
Question : The ratio of the salaries of Abhi and Monu is 6 : 11. If their salaries are increased by 10% and 12%, respectively, then what will be the new ratio of their salaries?
Option 1: 12 : 13
Option 2: 5 : 3
Option 3: 17 : 23
Option 4: 15 : 28
Question : A certain amount of money is divided among x, y, and z. If x receives 25% more than y and y receives 25% less than z, then x : y : z is equal to:
Option 1: 14 : 12 : 13
Option 2: 15 : 12 : 16
Option 3: 10 : 9 : 12
Option 4: 12 : 10 : 11
Question : If X : Y = 2 : 3 and Y : Z = 6 : 7, then what is the value of (X + Z) : Y?
Option 1: 17 : 14
Option 2: 17 : 15
Option 3: 11 : 6
Option 4: 11 : 8
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