A number is decreased by 25% and then increased by 25%. What is the final value in terms of the original number? (2023)
Practice Questions
1 question
Q1
A number is decreased by 25% and then increased by 25%. What is the final value in terms of the original number? (2023)
Original number
Less than original
More than original
None of the above
Let the original number be x. After a 25% decrease, it becomes 0.75x. After a 25% increase, it becomes 0.75x * 1.25 = 0.9375x, which is less than the original number.
Questions & Step-by-step Solutions
1 item
Q
Q: A number is decreased by 25% and then increased by 25%. What is the final value in terms of the original number? (2023)
Solution: Let the original number be x. After a 25% decrease, it becomes 0.75x. After a 25% increase, it becomes 0.75x * 1.25 = 0.9375x, which is less than the original number.
Steps: 6
Step 1: Let the original number be x.
Step 2: Calculate 25% of x. This is 0.25x.
Step 3: Decrease the original number by 25%. This means you subtract 0.25x from x: x - 0.25x = 0.75x.
Step 4: Now, take the new value (0.75x) and calculate 25% of it. This is 0.25 * 0.75x = 0.1875x.
Step 5: Increase the new value (0.75x) by 25%. This means you add 0.1875x to 0.75x: 0.75x + 0.1875x = 0.9375x.
Step 6: The final value after both operations is 0.9375x, which is less than the original number x.
