Discussion
A papaya tree was planted two years ago. It grows at the rate of 20 % every year. If at present height of tree is 540 cm, when it was planted, what was its height
Answer: B
The tree was 375 cm tall when planted.
Growing by 20% a year for two years multiplies the height by \(1.2^{2} = 1.44\), so
\[ h = \frac{540}{1.44} = 375\ \text{cm} \]
Check: 375 rises to 450 after one year and to 540 after two. 324 cm comes from removing 40% of 540, two 20% cuts added together; undoing a rise needs division by 1.2 for each year, not a 20% cut. 432 cm is 540 less a single 20%, and 324 mm changes the unit.
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