Al's salary is first increased by 25% and then decreased by 20%. The result is the same as Brian's salary increased by 20% and then reduced by 25%. What is the ratio of Brian's salary to Al's salary?13 Mark For ReviewA) B) C) D)
Question
Al's salary is first increased by 25% and then decreased by 20%. The result is the same as Brian's salary increased by 20% and then reduced by 25%. What is the ratio of Brian's salary to Al's salary?13 Mark For ReviewA) B) C) D)
Solution
Let's denote Al's initial salary as A and Brian's initial salary as B.
- Al's salary is first increased by 25%, which means it becomes A * 1.25.
- Then, it is decreased by 20%, which means it becomes A * 1.25 * 0.8 = A * 1.0 = A.
Similarly,
- Brian's salary is first increased by 20%, which means it becomes B * 1.2.
- Then, it is decreased by 25%, which means it becomes B * 1.2 * 0.75 = B * 0.9.
According to the problem, these two final salaries are equal, so we have A = B * 0.9.
Therefore, the ratio of Brian's salary to Al's salary is B/A = 0.9/1 = 0.9 or 9:10.
Similar Questions
The salaries of A, B and C are in the ratio 4:10:25. If the increments of 30%, 15% and 25% are provided to A, B and C respectively in their salaries, what will be the ratio of their new salaries?
The salaries A, B, C are in the ratio 2 : 3 : 5. If the increments of 15%, 10% and 20% are allowed respectively in their salaries, then what will be new ratio of their salaries?Choices:- 3:3:10 10:11:20 None of these Cannot be determined
Select the correct answerThe income of A, B, and C are in the ratio 3 : 4 : 7. If their incomes be changed such that the new income of A is 50% increased, 25% increased for B and 25% decrease for C. Find the ratio of their new incomes.Options18 : 40 : 2318 : 20 : 2128 : 20 : 2117 : 12 : 21
If the salary of an employee is first increased by 20% and the decreased by 12%, then what is the change in his salary in percent?16% increase16% decrease5.6% increase8% increase
A’s salary is 20% lower than B’s salary, which is 15% lower than C’s salary. By how much percent is C’s salary more than A’s salary?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.