If P (P > 0) is the least possible number that must be subtracted from 7, 9 and 12 so that the resulting numbers are in continued proportion, then the value of P2 + 1 is:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 10.
Given, (7 - P) : (9 - P) : : (9 - P) : (12 - P)
⇒ (7 - P)(12 - P) = (9 - P)(9 - P)
⇒ 84 - 19P + P2 = 81 - 18P + P2
⇒ P = 3
Now, P2 + 1 = 9 + 1 = 10