If (x + 20)% of 250 is 25% more than x% of 220, then 10% of (x+50) is what per cent less than 15% of x?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 16
Concept
Basic Percentage
Application
(x + 20)% of 250 = 125% of x% of 220
(x + 20)% × 250 = 125% × x% × 220
(x + 20)/100 × 250 = 125/100 × x/100 × 220
(x + 20) = 5 × x/100 × 22
(x + 20) = x/20 × 22
x + 20 = 11x/10
11x/10 – x = 20
x/10 = 20
x = 200
10% of (x + 50)
10/100 × 250
25
15% of x
15/100 × 200
30
Required percent = (30 – 25)/30 × 100
Required percent = 5/30 × 100
Required percent = 50/3 = 16