ABC26GN1247 · Simplification

Subject: General Aptitude · Chapter: Simplification · Exam: · Marks: · Difficulty:

A bonus of ₹ 1000 is to be divided among three people so that Rohit receives twice as much as Sachin, who receives one-fifth as much as Gagan. How much money should Gagan receive?
(a)₹ 100
(b)₹ 250
(c)₹ 375
(d)₹ 625
Answer
Answer (as printed): D
Explanation
Let Gagan's share $=₹ x$. Then, Sachin's share $=₹\left(\frac{x}{5}\right)$ and Rohit's share $=₹\left(\frac{2 x}{5}\right)$. $$\therefore \quad \frac{2 x}{5}+\frac{x}{5}+x=1000 \Leftrightarrow 8 x=5000 \Leftrightarrow x=625 .$$

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

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