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:
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 39.46%
According to the question
180 × (100 - x)% = 60 × (100 + x)%
3 × (100 - x) = 100 + x
4x = 200
x = 50
Now,
50 % × 410 = 205 is more than 70 % × 210= 147
Required % = ((205 - 147)/147) × 100
= (58/147) × 100
= 39.46%