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The salaries of X, Y and Z are in the ratio 2 : 3 : 5. By what percentage is the salary of Z more than that of X?
100
200
120
150
- To find by what percentage Z's salary is more than X's salary, we must first assume the salaries are multiples of a common variable.
- Let the salaries be: X = 2k, Y = 3k, Z = 5k.
- The difference between Z and X's salaries = 5k - 2k = 3k.
- The percentage increase of Z's salary over X's is calculated as: (Difference/Original value) × 100 = (3k / 2k) × 100.
- Simplifying gives us (3/2) × 100 = 150%.
- Option 1, 100: Incorrect. This would imply Z's salary is equal to or only slightly more than X's, which is not the case.
- Option 2, 200: Incorrect. This suggests Z's salary is twice that of X's plus an additional X's salary.
- Option 3, 120: Incorrect. This implies that Z's salary is around 1.2 times more than X's.
- Option 4, 150: Correct. This means Z's salary is 150% more than X's.
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