Instead of increasing a number successively by 20 percent and 30 percent, it is decreased by 22 percent. Resultant value is what percentage of the required correct value?

55 percent 60 percent 48 percnet 50 percent

60 percent

Let initial value = 100x Required correct value = 100x × \(\frac{120}{100}\) × \(\frac{120}{100}\) = 156x Wrong value = 100x × \(\frac{78}{100}\) = 78x Required Percentage = \(\frac{78x}{156x}\) × 100 = 50%