A garden has 2000 trees. 12% of these are mango trees, 18% lemon and the rest are orange trees. Find the number of orange trees.

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Solution

$Let the number of orange trees be x . It is given that there are 2, 000 trees . While 12 % of them are mango trees, 18 % are lemon trees and the rest are orange trees . Now, (12 % o f 2000) + (18 % o f 2000) + x = 2000 \Rightarrow \frac{12}{100} \times 2000 + \frac{18}{100} \times 2000 + x = 2000 \Rightarrow 240 + 360 + x = 2000 \Rightarrow 600 + x = 2000 \Rightarrow x = 2000 - 600 \Rightarrow x = 1400 ∴ There are 1, 400 orange tree s .$

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