Multiple choice

Each question contains a statement followed by Quantity I and Quantity II. Read the contents clearly and answer your questions accordingly. \begin{enumerate} \item Quantity I: Ram and Shyam started a business with Rs.4800 and Rs.6400 respectively. Ram invested only 5 months and they divided their shares after a year. The ratio of profit of Ram and Shyam is 3: 8. Then find for how many months Shyam invested the money? \item Quantity II: Pawan and Quasim invested in the ratio of 5: 8. Pawan invested the money for 8 months. The ratio of profit of Pawan and Quasim is 1: 2. Then find for how many months Quasim invested the money?\end{enumerate}

  1. Quantity II > Quantity I

  2. Quantity I ≥ Quantity II

  3. Quantity I > Quantity II

  4. Quantity II ≥ Quantity I

  5. Quantity I = Quantity II or Relation cannot be established
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Quantity I: Profit ratio 3:8 with Ram (4800) investing 5 months. If Shyam (6400) invests x months: (4800*5)/(6400*x) = 3/8. Solving: 24000/6400x = 3/8 → 3*6400x = 192000 → x = 10 months. Quantity II: Pawan (5 parts) invests 8 months, Quasim (8 parts) invests y months. Profit ratio 1:2 gives (5*8)/(8*y) = 1/2 → 40 = 4y → y = 10 months. Both quantities equal 10, so answer is 'equal'. Option E is correct.

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