Work and Wages
- A, B and C completed a work costing ₹ 1800. A worked for 6 days, B worked for 4 days and C worked for 9 days. If their daily wages are in the ratio of 5 : 6 : 4, how much amount will be received by A?
-
View Hint View Answer Discuss in Forum
Ratio of the wages of A, B and C = 5 : 6 : 4
A's share : B's share : C ' share
= (6 x 5) : (4 x 6) : (9 x 4)Correct Option: A
Ratio of the wages of A, B and C = 5 : 6 : 4
A's share : B's share : C ' share
= (6 x 5) : (4 x 6) : (9 x 4)
=30 : 24 : 36 = 5 : 4 : 6
∴ A's share = (5/15) x 1800 = ₹ 600
- Amit, Vipul and Kapil can do a piece of work in 12, 16 and 24 days, respectively. If they complete the work together and get an amount of ₹ 2700, then what is the share of Vipul in that amount?
-
View Hint View Answer Discuss in Forum
1 day's work of Amit = 1/12
1 day's work of Vipul = 1/16
1 day's work of Kapil = 1/24
Amit's share : Vipul's share : Kapil's share
= (1/12) : (1/16) : (1/24)Correct Option: D
1 day's work of Amit = 1/12
1 day's work of Vipul = 1/16
1 day's work of Kapil = 1/24
Amit's share : Vipul's share : Kapil's share
= (1/12) : (1/16) : (1/24) = 4/48 : 3/48 : 2/48 = 4 : 3 : 2
Now, Vipul's share = (3/9) x 2700
=3 x 300 = ₹ 900
- A sum of money is sufficient to pay A's wages for 21 days and B's wages for 28 days. The same money is sufficient to pay the wages of both for ?
-
View Hint View Answer Discuss in Forum
A's 1 day's work = 1/21
B's day's work = 1/28
∴ Same money is sufficient to pay the wages of both for
= 1 / [(1/21) + (1/28)] = (21 x 28) / (21 + 28)Correct Option: B
A's 1 day's work = 1/21
B's day's work = 1/28
∴ Same money is sufficient to pay the wages of both for
= 1 / [(1/21) + (1/28)] = (21 x 28) / (21 + 28)
= (21 x 28) / 49
= 3 x 4 = 12 days
- Vandana can do a piece of work in 10 days. With the help of Ruchi, she can do the same work in 6 days. If they get ₹ 200 for that work, then what will be the share of Ruchi in the received remuneration?
-
View Hint View Answer Discuss in Forum
Vandana's 1 day's work = 1/10
(vandana + Ruchi)'s 1 day work =1/6
∴ Ruchi's 1 day's work
= 1/6 - 1/10 = (10 - 6)/ (6 x 10) = 4 / 60 = 1/15
∴ Vandana's share : Ruchi's share
= 1/10 : 1/15 = 3/30 : 2/30 = 3 : 2Correct Option: D
Vandana's 1 day's work = 1/10
(vandana + Ruchi)'s 1 day work =1/6
∴ Ruchi's 1 day's work
= 1/6 - 1/10 = (10 - 6)/ (6 x 10) = 4 / 60 = 1/15
∴ Vandana's share : Ruchi's share
= 1/10 : 1/15 = 3/30 : 2/30 = 3 : 2
Ruchi's share = 2/5 x 200 = ₹ 80
- A alone can finish a work in 2 days, while B alone can finish it in 3 days. if they work together to finish it, them out of total wages of ₹ 6000, what will be the 20% of A's share?
-
View Hint View Answer Discuss in Forum
A's 1 day's work = 1/2
B's 1 day's work = 1/3
A's share : B's share = 1/2 : 1/3 = 3/6 : 2/6 = 3 : 2Correct Option: A
A's 1 day's work = 1/2
B's 1 day's work = 1/3
A's share : B's share = 1/2 : 1/3 = 3/6 : 2/6 = 3 : 2
A's share (3/5) x 6000 = 3 x 1200 = ₹ 3600
∴ 20% of A's share 3600 x (20/100) = ₹ 720
