In a coconut grove, (x+2) trees yield 60 nuts per year, x trees yield 120, nuts per year, and (x-2)

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In a coconut grove, $(x+2)$ trees yield $60$ $nuts$ per $year,$ $x$ trees yield $120\, nuts$ per $ year,$ and $(x-2)$ trees yield $180 \,nuts$ per $year$. If the average yield per $year$ per tree be $100,$ find the value of $x .$

A

$4$

B

$2$

C

$8$

D

$6$

Solution

$\frac{(x+2) \times 60+x \times 120+(x-2) \times 180}{x+2+x+x-2}=100$

$x=4$

Standard 13

Quantitative Aptitude

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