A number is increased by 70 % and then decreased by 70 %. Find the net increase or decrease per cent. a) 25 b) 56 c) 45 c) 49 e) 98 

1 Answer

Answer :

Answer: D

Let the number be 100.

Increase in the number = 70 % = 40 % of 100

 = (40/100 × 100)

 = 70

Therefore, increased number = 100 + 70 = 170

This number is decreased by 70 %

Therefore, decrease in number = 70 % of 170

 = (70/100 × 170)

 = 11900/100

 = 119

Therefore, new number = 170 - 119 = 51

Thus, net decreases = 100 - 51 = 49

Hence, net percentage decrease = (49/100 × 100)

 = (4900/100)

 = 49 %

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