If P : Q = 3 : 2, then what is the value of (P + Q) : (P – Q)?
2021
If P : Q = 3 : 2, then what is the value of (P + Q) : (P – Q)?
- A.
5 : 1
- B.
6 : 1
- C.
4 : 5
- D.
4 : 1
Attempted by 259 students.
Show answer & explanation
Correct answer: A
Given ratio: P : Q = 3 : 2.
Let P = 3k and Q = 2k, where k is a common variable.
Substitute these into the expression (P + Q) : (P - Q):
Numerator (P + Q) = 3k + 2k = 5k.
Denominator (P - Q) = 3k - 2k = k.
The new ratio is 5k : k.
Dividing both by k, we get 5 : 1.
Final Answer: Option 1 (5:1)