A number is first increased by 40% and then it is increased by 30%. What is the net percentage increase?

82% 96% 72% 70%

82%

Let Initial Number = 100x According to question , New number = 100x × \(\frac{100+40}{100}\) × \(\frac{100+30}{100}\) = 100x × \(\frac{140}{100}\) × \(\frac{130}{100}\) = 182x Required percentage = \(\frac{182x - 100x }{100x}\) × 100 = 82%