Multiple choice

If Rs. 782 be divided into three parts, proportional to 1/2:2/3:3/4, then the first part is?

  1. Rs. 182

  2. Rs. 190

  3. Rs. 196

  4. Rs. 204

  5. None of these
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The ratio 1/2:2/3:3/4 can be simplified by multiplying by the least common multiple of the denominators (12), resulting in 6:8:9. The total parts are 6+8+9 = 23. The first part is (6/23) * 782 = 6 * 34 = 204.

AI explanation

To divide the amount into parts proportional to 1/2:2/3:3/4, first convert the ratio to whole numbers by multiplying by the least common multiple of the denominators, which is 12. This gives a simplified ratio of 6:8:9, making the total number of parts 23. The value of one part is 782 / 23 = 34. The first part is 6 * 34, which equals Rs. 204.

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