A is 20% more than B, B is 25% more than C, C is 60% less than D and D is 20% more than E. Based on the above information, which of the following is true?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. “A is 40% less than D”
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Concept |
Understanding |
Application |
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Percentage |
Given: A = 1.2B, B = 1.25C, C = 0.4D, D = 1.2E Suppose E = 100; then D = 120, C = 0.4 × 120 = 48 B = 1.25 × 48 = 60 A = 1.2 × 60 = 72 |
Option 1: C is 24% less than A. C = 48, A = 72 24% less than A = 0.76 × 72 = 54.72 ≠ C (Given statement is false) Option 2: A is 40% less than D. A = 72, D = 120 40% less than D = 120 × 0.6 = 72 = A (Given statement is true) Option 3: E is 28% more than A. E = 100, A = 72 28% more than A = 1.28 × 72 = 92.16 ≠ E (Given statement is false) Option 4: D is 60% less than B. Since D = 120, B = 60 (Given statement is false) |