The population of a village is 11000. If the number of children increases by 11% and the number of adults increases by 20%, the population becomes 12660. Find the population of children and adults separately in the village.
A7000, 4000
B4500, 6500
C6000, 5000 ✓ Correct
D5500, 5500
Correct answer: (C) 6000, 5000
Explanation
Children are 6000 and adults are 5000.
Let children be c and adults be 11000 - c.
After growth, 1.11c + 1.20(11000 - c) = 12660.
1.11c + 13200 - 1.20c = 12660.
-0.09c = -540, so c = 6000.
Adults = 11000 - 6000 = 5000.
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