P and Q can do a work in 12 days and 9 days, respectively. They both worked together and earned ₹63,000. The share of P (in ₹) is:
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 27,000.
P and Q can do a work in 12 days and 9 days, respectively
LCM(12, and 9) = 36
The efficiency of P = 36/12 = 3 units
The efficiency of Q = 36/9 = 4 units
Thus,
⇒ 3x + 4x = 63000
⇒ 7x = 63000
⇒ x = 9000
Thus, The share of P = 3x = ₹27000