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The salary of A is 20% lower than B’s salary and the salary of C is 56.25% greater than A’s salary. By how much percent the salary of B is less than the salary of C.

Question

The salary of A is 20% lower than B’s salary and the salary of C is 56.25% greater than A’s salary. By how much percent the salary of B is less than the salary of C.

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Solution

Let's break this down:

  1. Let's assume B's salary is 100 (this makes it easier to calculate percentages).
  2. A's salary is 20% lower than B's, so A's salary is 80 (100 - 20% of 100).
  3. C's salary is 56.25% greater than A's, so C's salary is 125 (80 + 56.25% of 80).
  4. Now, we need to find out how much less B's salary is compared to C's. This is calculated as the difference between C's and B's salaries, divided by C's salary, times 100 to get the percentage. So, (125 - 100) / 125 * 100 = 20%.

So, B's salary is 20% less than C's salary.

This problem has been solved

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