If (x+10)% of 240 is 60% more than x% of 180, then 15% of (x+20) is what percent less than 25% of x?
Answers
Answer:
refer the above pic and in first step we take 1.6 because the left side equation is 60% more than right. so to make both equal we multiply right side with 1.6
Given : (x+10)% of 240 is 60% more than x% of 180,
To Find : 15% of (x+20) is what percent less than 25% of x
Solution:
(x+10)% of 240 is 60% more than x% of 180,
(x+10)% of 240
= ((x + 10)/100 ) * 240
= 2.4x + 24
x% of 180
= (x /100) 180
= 1.8x
60% more than x% of 180
= 1.8x + (60/100)1.8x
= 1.8x(1.6)
= 2.88x
2.88x = 2.4x + 24
=> 0.48x = 24
=> x = 50
15% of (x+20)
= (15/100) (50 + 20)
= 10.5
25% of x = (25/100)50 = 12.5
12.5 - 10.5 = 2
(2/12.5) * 100
= 16 %
Hence 15% of (x+20) is 16 percent less than 25% of x
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