## Work and Wages

#### Work and Wages

1. Shantanu can do a piece of work in 12 days and Manu can do the same work in 10 days. If they work together, in what ratio Shantanu and Manu will receive their wages?

1. Shantanu's 1 day's work = 1/2
Manu's 1 day's work =1/10
Shantanu's share : Manu's share =(1/12) : (1/10)

##### Correct Option: A

Shantanu's 1 day's work = 1/2
Manu's 1 day's work =1/10
Shantanu's share : Manu's share =(1/12) : (1/10)
= (5/60) : (6/60)
= 5 : 6

1. A can do a piece of work in 9 days and B can do the same work in 15 days. if they work together, in what ratio A and B will receive their wages?

1. A's 1 day's work = 1/9
B's 1 day's work = 1/15
A's share : B's share = (1/9) : (1/15)

##### Correct Option: B

A's 1 day's work = 1/9
B's 1 day's work = 1/15
A's share : B's share = (1/9) : (1/15)
= (5/45) : (3/45)
= 5 : 3

1. A alone can do a piece of work in 8 days while B alone can do it in 10 days. If they together complete this work and get ₹ 900 as their remuneration, then find the share of both the persons.

1. A' s 1 day's work = 1/8
B' s 1 day's work = 1/10
∴ A' s share : B' s share
= 1/8 : 1/10 = 5/40 : 4/40 = 5 : 4
Let A' s share = 5k
and B' s share = 4k.
According to the question,
5k + 4k = 900

##### Correct Option: B

A' s 1 day's work = 1/8
B' s 1 day's work = 1/10
∴ A' s share : B' s share
= 1/8 : 1/10 = 5/40 : 4/40 = 5 : 4
Let A' s share = 5k
and B' s share = 4k.
According to the question,
5k + 4k = 900
⇒ 9k = 900
∴ k = 100
∴ A' s share = 5k = 5 x 100 = ₹ 500
and B' s share = 4k = 4 x 100 = ₹ 400.

1. A alone can do a piece of work in 3 days, while B alone can do the same work in 2 days. If they work together to complete the work, their total wages is fixed ₹ 225. Find the share of A.

1. A's 1 day's work = 1/3
B's 1 day's work = 1/2
A's share : B's share = 1/3 : 1/2 = 2/6 : 3/6
= 2 : 3

##### Correct Option: A

A's 1 day's work = 1/3
B's 1 day's work = 1/2
A's share : B's share = 1/3 : 1/2 = 2/6 : 3/6
= 2 : 3
Share of A = (2/5) x 225 = ₹ 90

1. P, Q and R enter into a contract for a piece of the work for ₹ 1100. P and Q together are supposed to do 7/22 of the work. How much does R get?

1. Work done by (P + Q) = 7/22
Work done by R = 1 - (7/ 22) = (22-7)/22 = 15/22
∴ (P + Q)'s share : R's share = (7/22) : (15/22)

##### Correct Option: A

Work done by (P + Q) = 7/22
Work done by R = 1 - (7/ 22) = (22-7)/22 = 15/22
∴ (P + Q)'s share : R's share = (7/22) : (15/22) = 7 : 15
R's share = (15/22) x 1100 = 15 x 50 = ₹ 750