Question Bank › General Aptitude › Simplification › ABC26GN1246ABC26GN1246 · Simplification Subject: General Aptitude · Chapter: Simplification · Exam: · Marks: · Difficulty:
A sum of ₹ 750 is distributed among $A, B, C$ and $D$ in such a manner that $A$ gets as much as $B$ and $C$ together, $B$ gets $₹ 125$ more than $C$ and $D$ gets as much as $C$. What is $A^{\prime}$ 's share?
(a) ₹ 100
(b) ₹ 225
(c) ₹ 275
(d) ₹ 325
Answer Explanation Let D's share $=₹ x$. Then, C's share $=₹ x$. B's share $=₹(x+125)$. A's share $=₹(x+x+125)$ $$=₹(2 x+125) .$$ $\therefore \quad(2 x+125)+(x+125)+x+x=750$ $$\begin{aligned} & \Leftrightarrow \quad 5 x=500 \\ & \Leftrightarrow \quad x=100 \end{aligned}$$ Hence, A's share $=2 x+125=₹(2 \times 100+125)$ $$=₹ 325 .$$
Explanation as extracted from the printed page; notation may be imperfect.
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