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Vicky's salary is 75% more than Ashu's. Vicky got a raise of 40% on his salary while Ashu got a raise of 25% on his salary. By what percent is Vicky's salary more than Ashu's?
Answer & Solution
Correct Answer:
Option
A
Let Ashu's salary = 100; Ashu's salary after rise = 125
Then Vicky's salary = 175
Vicky's salary after rise of 40% = 245
[As 10% of Vicky's salary is 17.5 then 40% = 17.5 × 4 = 70]
Difference between Vicky's salary and Ashu's salary = 245 - 125 = 120
% more Vicky's salary than Ashu's = $$\frac{{120 \times 100}}{{125}} = 96\% $$
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LoginAccording to the given information, Vicky's salary is 75% more than Ashu's salary. This can be expressed as:
Vicky's salary = Ashu's salary + 75% of Ashu's salary
= x + 0.75x
= 1.75x
Now, Vicky gets a raise of 40% on his salary, so his new salary becomes:
New salary of Vicky = Vicky's salary + 40% of Vicky's salary
= 1.75x + 0.4 * 1.75x
= 1.75x + 0.7x
= 2.45x
Similarly, Ashu gets a raise of 25% on his salary, so his new salary becomes:
New salary of Ashu = Ashu's salary + 25% of Ashu's salary
= x + 0.25x
= 1.25x
Now, we need to calculate the percentage by which Vicky's salary is more than Ashu's. This can be calculated using the formula:
Percentage increase = [(New salary of Vicky - New salary of Ashu) / New salary of Ashu] * 100
Percentage increase = [(2.45x - 1.25x) / 1.25x] * 100
= (1.2x / 1.25x) * 100
= 0.96 * 100
= 96%
Therefore, Vicky's salary is 96% more than Ashu's salary.
The correct answer is A. 96%.