Question

In a basket, $\frac{3}{4}th$ of the total fruits are apples, $\frac{2}{3}rd$ of the remaining are peach & the rest 300 are oranges. Find the total number of fruits in the basket.

• A. 2000
• B. 2400
• C. 3000
• D. 3600

Answer 1

The correct option is D 3600

Let the total number of fruits be x, then
According to the given condition
$x=\frac{3}{4}x+\frac{1}{4}x\times \frac{2}{3}=300$

$x=\frac{3}{4}x+\frac{x}{6}+300$

$x=\frac{9x+2x+3600}{12}$
$12x=11x+3600$
$x=3600$