Question

A number is increased by 40% and then decreased by 40%. Find the net increase and decrease percentage.

Answer 1

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$<b><i><Marquee><font face=Lucida Calligraphy size=3>Answer is C. </Marquee>$

$Full Explanation:</b> Let the number be 100. Increase in the number = 40 % = 40 % of 100                                = (40/100 × 100)                                = 40 Therefore, increased number = 100 + 40 = 140 This number is decreased by 40 % Therefore, decrease in number = 40 % of 140                                              = (40/100 × 140)                                              = 5600/100                                              = 56 Therefore, new number = 140 - 56 = 84 Thus, net decreases = 100 - 84 = 16 Hence, net percentage decrease = (16/100 × 100) %                                                = (1600/100) %                                                = 16 % <b>Ans. 16 percent$