ABC26GN3078 · Ratio and Proportion

Subject: General Aptitude · Chapter: Ratio and Proportion · Exam: · Marks: · Difficulty:

A man distributes ₹ 165000 among his daughter, wife and son in such a manner that $\frac{1}{2}$ of the daughter's share, $\frac{1}{4}$ of the wife's share and $\frac{1}{5}$ of the son's share are equal. Find the daughter's share.
(a)₹ 15000
(b)₹ 30000
(c)₹ 45000
(d)₹ 60000
Answer
Answer (as printed): B
Explanation
Let $\frac{1}{2} D=\frac{1}{4} W=\frac{1}{5} S=k$. Then, $D=2 k, W=4 k, S=5 k$. So, $D: W: S=2 k: 4 k: 5 k=2: 4: 5$. $$\text { ∴ Daughter's share }=₹\left(165000 \times \frac{2}{11}\right)=₹ 30000 \text {. }$$

Explanation as extracted from the printed page; notation may be imperfect.

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