Multiple choice

The ratio of the price of a motorcycle to that of a bicycle is 31 : 2. If the motorcycle costs Rs. 14,500 more than the bicycle, what is the cost of the bicycle?

  1. Rs. 1000

  2. Rs. 2000

  3. Rs. 500

  4. Rs. 1500

  5. None of these
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A Correct answer
Explanation

Let the price of the motorcycle be 31x and the bicycle be 2x. The difference is 31x - 2x = 29x = 14500. Thus, x = 14500 / 29 = 500. The cost of the bicycle is 2x = 2 * 500 = 1000.

AI explanation

Let the cost of the motorcycle be 31x and the cost of the bicycle be 2x. The difference in their costs is 31x minus 2x, which equals 29x. Given that this difference is Rs. 14,500, we have 29x = 14500, making x equal to 500. The cost of the bicycle is 2x, which is 2 times 500, resulting in Rs. 1000.

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