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CA Foundation · Quantitative Aptitude · Ratio and Proportion, Indices and Logarithms

If p/q = r/s = 3/4, which of the following equals (p + r)/(q + s)?

The value is 3/4. When ratios are equal, the sum of the antecedents divided by the sum of the consequents equals the common ratio. For example, p=3, q=4, r=6, s=8 give 9/12 = 3/4.

  1. A3/7
  2. B3/4Correct
  3. C7/4
  4. D4/3

Explanation

If the ratios are equal, the sum of the antecedents over the sum of the consequents equals the common ratio. Take p=3, q=4, r=6, s=8: (3+6)/(4+8)=9/12=3/4. Option A wrongly adds the numerator and denominator of the ratio.

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