If a number is first increased by 15%, then reduced by 15%, it results in 782. If the same number is first reduced by 25%, then increased by 25% and again reduced by 20%, then what will be the resulting number?

600

Let the number of 100x

Number after increased by 15% = 100x × \(\frac{23}{20}\)

= 115x

Number after decreased by 15% =  115x ×  \(\frac{17}{20}\)

= 97.75x

According to question ,

97.75x = 782

x = \(\frac{782}{97.75}\) = 8

100x = 800

New number after reduced by 25%

25% = \(\frac{1}{4}\)

4R = 800 , 1R = 200

New value = 3R = 3 × 200 = 600

Again , New number after increased by 25% = 600 ×\(\frac{3}{4}\) = 750

New number after reduced by 20% = 750 × \(\frac{4}{5}\) = 600