Ratios & Proportion
Aptitude

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Q.

There is certain numbers of toys in the box. They are divided into such a way that the person who gets  (dfrac{1}{4})

of the whole gets thrice of what the others get on an average. Find the number of people amongst whom the toys are distributed?

 A.

8

 B.

10

 C.

12

 D.

9

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Solution:
Option(B) is correct

If the person who gets \(\dfrac{1}{4}\) of the whole gets thrice of what the others get on an average, each one will get = \(\dfrac{1}{3}\times \dfrac{1}{4}=\dfrac{1}{12}\) of the whole.

Therefore, if there are $k$ persons other than the person who gets one-fourth, then

\(\begin{align*} \dfrac{1}{4}+\dfrac{k}{12}&=1\\ k&=9 \end{align*}\)

Hence, total number of people = 10.


(2) Comment(s)


Navjot Kaur
 ()

please explain the answer in detail



Anu
 ()

please explain the answer to this question