If decreasing 120 by x% gives the same result as increasing 40 by x%, then x% of 210 is how much percent less than (x + 20)% of 180?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 
%
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Application |
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120 × (1 - x/100) = 40 × (1 + x/100) ⇒ 3 – 3x/100 = 1 + x/100 ⇒ 2 = 4x/100 ⇒ x = 50 Now x% i.e. 50% of 210 = 210 × 0.5 = 105 (x + 20)% i.e. 70% of 180 = 180 × 0.7 = 126 Required percentage = [(126 -105)/126] × 100 = 2100/126 = 100/6 = |