Multiple choice

Rs. 2,02,800 is divided between Ram and Shyam such that the amount of interest Ram receives on his share in 3 years is the same as that Shyam receives on his share in 6 years. If it is simple interest at a rate of 4% per annum, then Ram's share is (in Rs.)

  1. 1,25,000

  2. 1,35,200

  3. 1,52,000

  4. 1,08,200
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let R be Ram's share, S be Shyam's share. R + S = 202800. Interest: (R * 4 * 3) / 100 = (S * 4 * 6) / 100. 12R = 24S, so R = 2S. 3S = 202800, S = 67600. R = 135200.

AI explanation

Let Ram's share be R and Shyam's share be S, so R + S = 202800. Since their interests are equal, (R * 4 * 3) / 100 = (S * 4 * 6) / 100, which simplifies to R = 2S. Substituting 2S into the first equation gives 3S = 202800, meaning S = 67600. Ram's share is 2 * 67600, which is Rs. 135200.

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