If A is 25% more than B and B is 15% less than C, then A:B:C=?
- A83:81:67
- B83:87:69
- C85:68:80
- D75:81:69
Solution & Step-by-step Explanation
Let C=100.
Since B is 15% less than C:
B=100−15=85
Since A is 25% more than B:
A=85×(1+
100
25
)=85×1.25=106.25
Now, construct the ratio A:B:C:
A:B:C=106.25:85:100
To simplify into integers, multiply the entire ratio by 4:
A:B:C=(106.25×4):(85×4):(100×4)
A:B:C=425:340:400
Divide by 5:
A:B:C=85:68:80
Since B is 15% less than C:
B=100−15=85
Since A is 25% more than B:
A=85×(1+
100
25
)=85×1.25=106.25
Now, construct the ratio A:B:C:
A:B:C=106.25:85:100
To simplify into integers, multiply the entire ratio by 4:
A:B:C=(106.25×4):(85×4):(100×4)
A:B:C=425:340:400
Divide by 5:
A:B:C=85:68:80