Question

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 ?

• A. Rs 7371
• B. Rs 8645
• C. Rs 9000
• D. Rs 9500

Answer 1

Answer: (A)

Rs 7371

Given Man : Woman : Child = 3 : 2 : 1 $\Rightarrow$ M = 3K, W = 2K, C = K, where K is a constant $\Rightarrow$ M = 3C, W = 2C
$\therefore$ 20M + 30W + 36C = 60C + 60C + 36C = 156C and 15M + 21W + 30C = 45C + 42C + 30C = 117C
It is given that (20 men + 30 women + 36 children) = 156 children earn Rs.78 per day
$\Rightarrow$ 1 child earns Rs. $\frac{78}{156}$ per day = Rs.$\frac{1}{2}$ per day $\therefore$ (15 men + 21 women + 30 Children) = 117
Children should get $(Rs.\frac{1}{2}\times 117)$ per day i.e., Rs.$(\frac{1}{2}\times 117\times 18\times 7)$ = Rs. 7371 in 18 weeks