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If x is 25% more than y , then y is 25% less than x.True or false?TrueFalseMARKS[1]

Question

If x is 25% more than y , then y is 25% less than x.True or false?TrueFalseMARKS[1]

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Solution

False. If x is 25% more than y, then y is 20% less than x, not 25%. Here's why:

Let's say y = 100 (just to keep the numbers simple).

If x is 25% more than y, then x = 100 + 25% of 100 = 125.

Now, to find out what percent less y is than x, we need to find the difference between x and y, divide by x, and then multiply by 100% to convert to a percentage.

So, the difference between x and y is 125 - 100 = 25.

Then, we divide this difference by x (which is 125), so 25 / 125 = 0.2.

Finally, we multiply by 100% to convert to a percentage, so 0.2 * 100% = 20%.

So, y is 20% less than x, not 25%.

This problem has been solved

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