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If decreasing 110 by x% gives the same result as increasing 50 by x%, then x% of 650 is what percentage (correct to the nearest integer) more than (x - 10)% of 780 ?

Question

If decreasing 110 by x% gives the same result as increasing 50 by x%, then x% of 650 is what percentage (correct to the nearest integer) more than (x - 10)% of 780 ?

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Solution

Sure, let's solve this step by step.

Step 1: Let's first find the value of x. According to the problem, decreasing 110 by x% gives the same result as increasing 50 by x%. This can be written as:

110 - (110 * x/100) = 50 + (50 * x/100)

Solving this equation for x gives x = 60.

Step 2: Now, we need to find x% of 650 which is (60/100) * 650 = 390.

Step 3: Next, we find (x - 10)% of 780 which is (50/100) * 780 = 390.

Step 4: Finally, we need to find how much percentage 390 is more than 390. Since both numbers are the same, the percentage increase is 0%.

So, 60% of 650 is 0% more than 50% of 780.

This problem has been solved

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