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A number on subtracting 15 from it, reduces to its 80%, what is 40% of that number?40

Question

A number on subtracting 15 from it, reduces to its 80%, what is 40% of that number?40

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Solution

Sure, let's solve this step by step:

  1. Let's assume the number we are looking for is X.

  2. According to the problem, if we subtract 15 from X, it becomes 80% of X. We can write this as an equation: X - 15 = 0.80X

  3. To solve for X, we first get rid of the decimal in 0.80X by multiplying every term in the equation by 100. This gives us: 100X - 1500 = 80X

  4. Next, we subtract 80X from both sides of the equation to get: 20X = 1500

  5. Finally, we divide both sides of the equation by 20 to solve for X: X = 1500 / 20 = 75

So, the number we are looking for is 75.

  1. The problem also asks for 40% of this number. We find this by multiplying 75 by 0.40: 75 * 0.40 = 30

So, 40% of the number is 30.

This problem has been solved

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