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4.Average
hard
There are three baskets of fruits. The $1^{st}$ basket has twice the number of fruits in the $2^{nd}$ basket. The $3^{rd}$ basket has three-fourths of the fruits in the first. The average of the fruits in all the baskets is $30 .$ What is the number of fruits in the first basket ?
A
$20$
B
$30$
C
$35$
D
$40$
Solution
Let, the number of fruits in the second basket be $x$.
Therefore, the number of fruits in the first basket $=2 x$
So, the number of fruits in the third basket
$=2 x \times \frac{3}{4}=\frac{3}{2} x$
$2 x+x+\frac{3}{2} x=30 \times 3$
$\Rightarrow \frac{4 x+2 x+3 x}{2}=90$
$\frac{9 x}{2}=90$
$9 x=180$
$x=\frac{180}{9}=20$
Hence, the number of fruits in the first basket $=2 x=2 \times$ $20=40$
Standard 13
Quantitative Aptitude
