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1.
A students first reduced a number by 20% and then increased it again by 20% . If the difference between the last number and the original number is 8, then the original number was :
- A. 200
- B. 200
- C. 200
- D. 200
Answer: Option A
Explanation:
Let, the original number = 100
20% reduced = 100 - 100 of 20% = 80
Then, 20% increased = 80 + 80 of 20% = 96
The difference = 96-80 = 16
16 difference then original number = 100
1 difference then original number = 100/16
8 difference then original number = (100×8)/16 = 50
20% reduced = 100 - 100 of 20% = 80
Then, 20% increased = 80 + 80 of 20% = 96
The difference = 96-80 = 16
16 difference then original number = 100
1 difference then original number = 100/16
8 difference then original number = (100×8)/16 = 50
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