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If A is 20% more than B and 20% less than C, then how many percent is B less than C?

Question

If A is 20% more than B and 20% less than C, then how many percent is B less than C?

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Solution

Sure, let's solve this step by step:

Step 1: Let's assume the value of B is 100 (this makes calculations easier and doesn't affect the percentage difference we're trying to find).

Step 2: Since A is 20% more than B, A = 100 + 20% of 100 = 120.

Step 3: If A is 20% less than C, it means C is 25% more than A (because if you decrease a number by 20% and then increase the result by 25%, you get back the original number). So, C = 120 + 25% of 120 = 150.

Step 4: Now, we need to find how much percent B is less than C. The difference between B and C is 50 (150 - 100).

Step 5: To find this as a percentage of C, we divide the difference by C and multiply by 100. So, (50 / 150) * 100 = 33.33%.

So, B is 33.33% less than C.

This problem has been solved

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