Question

If the work done by a man, a woman and a child be in the ratio 3 : 2 : 1 and if there be in the factory 20 men, 30 women and 36 children whose weekly wages amount to Rs. 78, what will be the wages of 15 men, 21 women and 30 children for 2 weeks?
1. Rs. 111
2. Rs. 114
3. Rs. 117
4. Rs. 127

Answer 1

Correct Answer - Option 3 : Rs. 117

Work done ratio of a man, a woman and a child = 3 : 2 : 1

Total work done by 20 men, 30 women and 36 children in 1 week = 3 × 20 + 2 × 30 + 1 × 36

= 60 + 60 + 36 = 156 unit

156 unit = Rs. 78

1 unit = 78/156 = Rs. 1/2

Total work done by 15 men, 21 women and 30 children in 2 week = [3 × 15 + 2 × 21 + 1 × 30] × 2 = [45 + 42 + 30] × 2 = 117 × 2 = 234

234 unit = 234 × (1/2) = Rs. 117