A no. Is first increased by 25% and then decrease by 25% . Find net increase or decrease percentage

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Solution

Dear student,
$L e t t h e o r i g i n a l n u m b e r b e' x' W h e n i t i n c r e a s e d b y 25 % = x + 25 % o f x = x + \frac{25}{100} \times x = x + \frac{x}{4} = \frac{5 x}{4} W h e n i t i s d e c r e a s e d 25 % = \frac{5 x}{4} - 25 % o f \frac{5 x}{4} = \frac{5 x}{4} - \frac{25}{100} \times \frac{5 x}{4} = \frac{5 x}{4} - \frac{1}{4} \times \frac{5 x}{4} = \frac{5 x}{4} - \frac{5 x}{16} = \frac{20 x - 5 x}{16} = \frac{15 x}{16} % c h a n g e = \frac{\frac{15 x}{16} - x}{x} \times 100 = \frac{\frac{15 x - 16 x}{16}}{x} \times 100 = \frac{- x}{16 x} \times 100 = - \frac{100}{16} = - 6.25 % - v e s i g n s h o w s t h e n e t d e c r e a s e i n n u m b e r t h u s t h e n e t d e c r e a s e % i s 6.25 %$

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