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)?
- A46
3
2
% - B44
3
1
% - C48
3
2
% - D42
3
1
%
Solution & Step-by-step Explanation
Write down the first relationship:
100
x+10
×300=(1+
100
57.5
)×(
100
x
×250)
3(x+10)=1.575×2.5x
3x+30=3.9375x
30=0.9375x
x=
0.9375
30
=32
Now calculate the two targeted terms:
First Term = 15% of x=0.15×32=4.8
Second Term = 20% of (x+13)=0.20×(32+13)=0.20×45=9
Calculate the percentage difference:
Difference=9−4.8=4.2
Percentage Less=
9
4.2
×100=
9
420
=
3
140
%=46
3
2
%
100
x+10
×300=(1+
100
57.5
)×(
100
x
×250)
3(x+10)=1.575×2.5x
3x+30=3.9375x
30=0.9375x
x=
0.9375
30
=32
Now calculate the two targeted terms:
First Term = 15% of x=0.15×32=4.8
Second Term = 20% of (x+13)=0.20×(32+13)=0.20×45=9
Calculate the percentage difference:
Difference=9−4.8=4.2
Percentage Less=
9
4.2
×100=
9
420
=
3
140
%=46
3
2
%