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A’s salary is 50% more than B’s.How much percent is B’s salary less than A’s?33 14%33 13%33 12%33%

Question

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Solution

1. Break Down the Problem

We need to find what percentage B's salary is less than A's salary given that A's salary is 50% more than B's.

2. Relevant Concepts

Let:

  • B B = B's salary
  • A A = A's salary

Given:
A=B+0.5B=1.5B A = B + 0.5B = 1.5B

We need to find the percentage that B B is less than A A : Percentage less=(ABA)×100 \text{Percentage less} = \left( \frac{A - B}{A} \right) \times 100

3. Analysis and Detail

Substituting A A : Percentage less=(1.5BB1.5B)×100 \text{Percentage less} = \left( \frac{1.5B - B}{1.5B} \right) \times 100 =(0.5B1.5B)×100 = \left( \frac{0.5B}{1.5B} \right) \times 100 =(0.51.5)×100 = \left( \frac{0.5}{1.5} \right) \times 100 =(13)×10033.33% = \left( \frac{1}{3} \right) \times 100 \approx 33.33\%

4. Verify and Summarize

The calculation shows that B's salary is approximately 33.33% 33.33\% less than A's salary.

Final Answer

B's salary is 33% less than A's salary.

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