If decreasing 180 by x% gives the same result as increasing 60 by x%, then x% of 410 will be more than (x + 20)% of 210 (correct to two decimal places) by:

39.46%

ATQ ,

180 × \(\frac{(100-x)}{100}\) = 60 ×\(\frac{(100+x)}{100}\)

 18000 - 180x = 6000 + 60x

 x = 50

But,

 50% of 410 = \(\frac{(50)}{100}\) × 410 = 205

 (50 + 20)% of 210 = \(\frac{(70)}{100}\) × 210 = 147

 Required percentage =  \(\frac{(205 - 147)}{147}\) × 100

= 39.46%