There are three baskets of fruits. 1^{st} basket has twice number of fruits in 2^{nd} basket. 3^{rd}

English

Gujarati

Hindi

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

Share

Similar Questions

The average weight of three boys $A, B$ and $C$ is $54 \frac{1}{3} \,kg,$ while the average weight of three boys $B , D$ and $E$ is $53 \,kg .$ What is the average weight of $A , B , C , D$ and $E$ ?(in $kg$)

medium

A family consists of grand parents, parents and three grand children. The average age of the grand parents is $67\, years,$ that of the parents is $35\, years$ and that of the grand children is $6 \,years.$ What is the average age of the family? (in $years$)

medium

The average age of a group of $18$ persons is $32$ $years$ and $6 \,months.$ If two persons of age $65\, years$ each and one person of age $50\, years$ leave the group, the average age of the remaining persons in the group will be (in $years$)

medium

A man spends $Rs.\,1800$ monthly on an average for the first four months and $Rs.\,2000$ monthly for the next eight months and saves $Rs.\,5600$ a $year$. His average monthly income is (in $Rs.$)

hard

A cricketer whose bowling average is $12.4$ runs per wicket takes $5$ wickets for $26$ runs and thereby decreases his average by $0.4$ The number of wickets taken by him till the last match was

medium