If (x + 10)% of 300 is 57.5% more than x % of 250, then 15% of x is what percentage less than 20%
of (x + 13)?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. %.
(x + 10)% × 300 = 157.5% × x% × 250
(x + 10)/100 × 300 = 157.5/100 × x/100 × 250
3x + 30 = 3.9375x
x = 30/0.9375 = 32
15% of 32 = 15/100 × 32 = 4.8
20% of (x + 13) = 20/100 × (32 + 13) = 9
Difference = 9 - 4.8 = 4.2
Difference % = (4.2/9) × 100 = %