At present, the number of trees in a village is 52,020. It increases annually at the rate of 2%. What was the number of trees in the village two years ago?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e 50,000
Let's assume the number of trees in the village two years ago is 'y'.
At present, the number of trees in a village is 52,020. It increases annually at the rate
2%.
y of (100 + 2)% of (100 + 2)% = 52020
y of 102% of 102% = 52020
y × 102 /100 × 102 /100 = 52020
y × 1.02 × 1.02 = 52020
1.0404y = 52020
number of trees in the village two years ago
y = 50000