Multiple choice

The work done by a man, a woman and a child are in the ratio 3 : 2 : 1 if the daily wages of 20 men, 30 women and 36 children amount to Rs 78 , what will be the wages of 15 men, 21 women and 30 children for 18 weeks ?

  1. Rs 7371

  2. Rs 8645

  3. Rs 9000

  4. Rs 9500
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A Correct answer
AI explanation

Using the ratio method, let the daily wages of a man, a woman, and a child be 3x, 2x, and 1x respectively. The total daily wage for 20 men, 30 women, and 36 children is 60x plus 60x plus 36x, which equals 156x, so 156x equals 78 and x equals 0.5. The daily wage for 15 men, 21 women, and 30 children is 45x plus 42x plus 30x, giving 117x, which is 117 times 0.5, or Rs 58.5 per day, and over 18 weeks, or 126 days, the total wage is 58.5 times 126. The result is Rs 7371.

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