Question Bank • QB_EXP_GA_PRC_003 MCQ • 1 Mark

Section 8: General Aptitude

Quantitative: Percentages, Profit-Loss, Ratios & Averages

Subtopic: Rule of alligation in mixtures

Question Statement:

In what ratio must two grain varieties costing $\text{Rs. } 25/\text{kg}$ and $\text{Rs. } 40/\text{kg}$ be blended together to produce a mixture worth $\text{Rs. } 30/\text{kg}$?

Options:

  • (A) $2 : 1$
  • (B) $1 : 2$
  • (C) $3 : 2$
  • (D) $5 : 3$

Answer Key:

A

Step-by-Step Solution & Explanation

Applying the rule of alligation: $\frac{Q_{\text{cheaper}}}{Q_{\text{dearer}}} = \frac{C_{\text{dearer}} - M}{M - C_{\text{cheaper}}} = \frac{40 - 30}{30 - 25} = \frac{10}{5} = \frac{2}{1}$ Hence, the required ratio is $2 : 1$.
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