The work done by a man, a woman and a child is in the ratio of 3: 2: 1 and the wages that they receive are proportional to the work done by them in a week. There are 20 men, 30 women and 36 children in a factory. Their weekly wages amount to Rs.780. What will be the wages of 15 men, 21 women and 30 children for a month, which is made of 4 working weeks?
The work done by a man, a woman and a child is in the ratio of 3: 2: 1 and the wages that they receive are proportional to the work done by them in a week. There are 20 men, 30 women and 36 children in a factory. Their weekly wages amount to Rs.780. What will be the wages of 15 men, 21 women and 30 children for a month, which is made of 4 working weeks?
The correct option is C 2340
Let M, W and C be the weekly wages for a man, a woman and a child respectively.
20M + 30W + 36C = 780 --(1)
Since their wages are proportional to the work done by them per week,
M : W : C = 3 : 2 : 1 i.e. M = 3C and W = 2C
Using this in (1)
156C = 780 or C = 5, W = 10, M = 15
In 4 weeks (one month)
15 men will earn: 4 × 15 × 15 = 900
21 women will earn: 4 × 21 × 10 = 840
30 children will earn: 4 × 30 × 5 = 600
Total wages = 900 + 840 + 600 = Rs. 2340
2340
Let M, W and C be the weekly wages for a man, a woman and a child respectively.
20M + 30W + 36C = 780 --(1)
Since their wages are proportional to the work done by them per week,
M : W : C = 3 : 2 : 1 i.e. M = 3C and W = 2C
Using this in (1)
156C = 780 or C = 5, W = 10, M = 15
In 4 weeks (one month)
15 men will earn: 4 × 15 × 15 = 900
21 women will earn: 4 × 21 × 10 = 840
30 children will earn: 4 × 30 × 5 = 600
Total wages = 900 + 840 + 600 = Rs. 2340
