# Moderate Ratios & Proportion Solved QuestionAptitude Discussion

 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

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.

Navjot Kaur
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Anu
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