Multiple choice

The total number of men, women and children working in a factory is 18. They earn Rs 4000 in a day. If the sum of the wages of all men, all women and all children is in the ratio of 18: 10: 12 and if the wages of an individual man, woman and child is in the ratio 6: 5 : 3, then how much a woman earn in a day?

  1. Rs 150

  2. Rs 100

  3. Rs 180

  4. Rs 220

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

Let total wages for men, women, children be 18x, 10x, 12x. Total = 40x = 4000, so x = 100. Women's total = 1000. Individual wages are 6k, 5k, 3k. Total people = 18x/(6k) + 10x/(5k) + 12x/(3k) = 900/k = 18, so k = 50. One woman earns 5k = Rs 250. Since 250 is not in options, answer is None of these (option E).

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