If (x+10)% of240 is 70% more than x%of 180% ,then 15% of (x+20)% is what percent less than 25% of x?
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Answer:
16%
Step-by-step explanation:
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?
Given, 240×(x+10)%=180×x%+(180×x%)60%Given, 240×(x+10)%=180×x%+(180×x%)60%
240×(x+10)%=180×x%(1+60%)240×(x+10)%=180×x%(1+60%)
240×(x%+10%)=180x%(160%)240×(x%+10%)=180x%(160%)
240x%+24=(180x%)160%240x%+24=(180x%)160%
240x%+24=288x%240x%+24=288x%
48x%=2448x%=24
x%=2448=0.5=50%x%=2448=0.5=50%
Check, 240(50+10)%=180×50%+(180×50%)60%Check, 240(50+10)%=180×50%+(180×50%)60%
144=144144=144
Next, (x+20)15%=(50+20)15%=70×15%=10.5Next, (x+20)15%=(50+20)15%=70×15%=10.5
25%x=12.525%x=12.5
less % is 100%−10.512.5=100%−10.5×812.5×8100%−84%=16%
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