More Questions from Ratio and Proportion

Sanjay and Suresh together weigh 120 kg. Sanjay weighs 30 kg more than Suresh. What is the ratio of Suresh’s weight to Sanjay’s weight (expressed as a decimal)?

Aptitude Ratio and Proportion Difficulty: Easy
Choose an option
  • A
    0.4
  • B
    0.6
  • C
    0.3
  • D
    0.25
  • E
    0.5

Answer

Correct Answer: 0.6

Explanation

Introduction / Context: This is a linear equation problem. We convert the statements into algebra, find individual weights, and then compute the requested ratio as a decimal.

Given Data / Assumptions: Total weight = 120 kg; Sanjay = Suresh + 30 kg.

Concept / Approach: Solve for Suresh and Sanjay directly, then compute Suresh/Sanjay as a decimal.

Step-by-Step Solution: Let Suresh = s; Sanjay = s + 30. Sum: s + (s + 30) = 120 ⇒ 2s = 90 ⇒ s = 45. Sanjay = 45 + 30 = 75. Ratio (Suresh/Sanjay) = 45 / 75 = 3/5 = 0.6.

Verification / Alternative check: Check totals: 45 + 75 = 120 and difference is 30, both conditions satisfied.

Why Other Options Are Wrong: 0.4, 0.3, 0.25, 0.5 are not equal to 45/75.

Common Pitfalls: Using Sanjay/Suresh instead of Suresh/Sanjay, or miscomputing the decimal form.

Final Answer: 0.6

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