The average weight of a group of 12 girls is 48 kg. If 2 girls R and S replace P and Q. the new average weight becomes 45 kg. The weight of P = the weight of Q. The weight of R = the weight of S. Another girl T, is included in the group and the new average weight becomes 46 kg. The weight of T = the weight of R. What is the weight of P (in kg)?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 76.
Total weight of 12 girls = 12 × 48 = 576
Given, 576 - P - Q + R + S = 12 × 45 = 540
Also, 576 - 2P + 2R = 540
⇒ P - R = 18
Now, 540 + T = 13 × 46 = 598
So, weight of T = 598 - 540 = 58 kg
Weight of P = 58 + 18 = 76 kg