If a ∶ b = c ∶ d, then which of the following ratio is equal to a ∶ c?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. a + b ∶ c + d.
Calculations:
⇒ a ∶ b = c ∶ d
Can be written as
⇒ a/b = c/d or ---- (1)
⇒ a/c = b/d
Adding 1 on both sides in equation (1) we get
⇒ a/b + 1 = c/d + 1
⇒ (a + b)/b = (c + d)/d
⇒ (a + b)/(c + d) = b/d
We know that, a/c = b/d
Hence, a/c = (a + b) : (c + d)