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If A's salary is 50% more than that of B...

If A's salary is 50% more than that of B, than B's salary is less than A's by.
यदि A का वेतन B से 50% अधिक है तो B का वेतन A से कितने प्रतिशत कम है?

A

`33%`

B

`40 1/3 %`

C

`45 1/3 %`

D

`33 1/3 %`

Text Solution

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The correct Answer is:
To solve the problem, we need to determine how much less B's salary is compared to A's salary in percentage terms, given that A's salary is 50% more than B's salary. ### Step 1: Define the Salaries Let B's salary be represented as \( B \). ### Step 2: Calculate A's Salary Since A's salary is 50% more than B's salary, we can express A's salary as: \[ A = B + 0.5B = 1.5B \] ### Step 3: Find the Difference in Salaries Now, we need to find the difference between A's salary and B's salary: \[ \text{Difference} = A - B = 1.5B - B = 0.5B \] ### Step 4: Calculate the Percentage Difference To find out how much less B's salary is compared to A's salary in percentage, we use the formula: \[ \text{Percentage Difference} = \left( \frac{\text{Difference}}{A} \right) \times 100 \] Substituting the values we have: \[ \text{Percentage Difference} = \left( \frac{0.5B}{1.5B} \right) \times 100 \] ### Step 5: Simplify the Expression Now, we can simplify the expression: \[ \text{Percentage Difference} = \left( \frac{0.5}{1.5} \right) \times 100 = \left( \frac{1}{3} \right) \times 100 \approx 33.33\% \] ### Conclusion Thus, B's salary is approximately 33.33% less than A's salary. ---

To solve the problem, we need to determine how much less B's salary is compared to A's salary in percentage terms, given that A's salary is 50% more than B's salary. ### Step 1: Define the Salaries Let B's salary be represented as \( B \). ### Step 2: Calculate A's Salary Since A's salary is 50% more than B's salary, we can express A's salary as: \[ ...
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