ABC26GN3094 · Ratio and Proportion

Subject: General Aptitude · Chapter: Ratio and Proportion · Exam: 2008 · Marks: · Difficulty:

Divide ₹ 671 among $A, B$ and $C$ such that if their shares be increased by ₹ 3, ₹ 7 and ₹ 9 respectively the remainder shall be in the ratio 1 : 2 : 3.

(a)₹ 110, ₹ 220, ₹ 336

(b)₹ 112, ₹ 223, ₹ 336

(c)₹ 105, ₹ 223, ₹ 330

(d)None of these

Answer

Answer (as printed): B

Explanation

Remainder $=₹[671+(3+7+9)]=₹ 690$. $$\text { A's share }=₹\left[\left(690 \times \frac{1}{6}\right)-3\right]=₹ 112 .$$ B's share $=₹\left[\left(690 \times \frac{2}{6}\right)-7\right]=₹ 223$. C's share $=₹\left[\left(690 \times \frac{3}{6}\right)-9\right]=₹ 336$.

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

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