Question Bank • QB_GA_ADV_106 MCQ • 1 Mark

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Ratios & Percentages

Question Statement:

A farm equipment dealer offers two successive discounts of $20\%$ and $10\%$ on the list price of a tractor implement. What is the single equivalent discount percentage?

Options:

  • (A) $30\%$
  • (B) $28\%$
  • (C) $26\%$
  • (D) $25\%$

Answer Key:

B

Step-by-Step Solution & Explanation

**Method 1: Successive Discount Formula** $D_{\text{eq}} = d_1 + d_2 - \frac{d_1 d_2}{100} = 20 + 10 - \frac{20 \times 10}{100} = 30 - 2 = 28\%$ **Method 2: Base-100 Calculation** Let list price $= 100$. 1. After $20\%$ discount: $100 \times 0.80 = 80$. 2. After $10\%$ discount: $80 \times 0.90 = 72$. Total discount $= 100 - 72 = 28\%$. Option **B** is correct.
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