A students first reduced a number by 20% and then increased it again by 20% . If the difference between the two new figures was 8, then the original number was -

A students first reduced a number by 20% and then increased it again by 20% . If the difference between the two new figures was 8, then the original number was - Correct Answer 200

Let, the original number = 100 20% reduced = 100 - 100 of 20% = 80  Then, 20% increased = 80 + 80 of 20% = 96 The difference = 100 - 96 = 4  4 difference then original number = 100 1 difference then original number = 100/4 8 difference then original number = (100×8)/4 = 200 
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