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:
Answer & explanation
Correct answer: option 4
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%