## Work and Wages

#### Work and Wages

1. A can do a work in 12 days and B in 16 days. If both of them work together to do the work and get ₹ 2100, find the share of each.

1. A can do a work in 12 days.
∴ Work done by A = 1/12
B can do a work in 16 days.
∴ Work done by A = 1/16
Ration of Work done by A : Ration of Work done by B = 1/12 : 1/16
Ration of Work done by A : Ration of Work done by B = 4 : 3

##### Correct Option: C

A can do a work in 12 days.
∴ Work done by A = 1/12
B can do a work in 16 days.
∴ Work done by A = 1/16
Ration of Work done by A : Ration of Work done by B = 1/12 : 1/16
Ration of Work done by A : Ration of Work done by B = 4 : 3
A’s shares = 2100 x 4/7 = 300 x 4 = ₹ 1200
B’s share = 2100 x 3/7 = 300 x 3 = ₹ 900

1. A, B and C contract to do a work for ₹ 4200. A can do the work in 6 days, B in 10 days and C in 12 days. If they work together to do die work, what is the share of each?
A B C

1. A, B and C contract to do a work for ₹ 4200. A can do the work in 6 days, B in 10 days and C in 12 days.
From given question, As we know that
A can do the work in 6 days.
A can do 1/6 work in one day.
B can do the same work in 10 days.
B can do 1/10 work in one day.
C can do the same work in 12 days.
C can do 1/12 work in one day.
Work done shared by A : B : C = 1/6 : 1/10 : 1/12

##### Correct Option: D

A, B and C contract to do a work for ₹ 4200. A can do the work in 6 days, B in 10 days and C in 12 days.
From given question, As we know that
A can do the work in 6 days.
A can do 1/6 work in one day.
B can do the same work in 10 days.
B can do 1/10 work in one day.
C can do the same work in 12 days.
C can do 1/12 work in one day.
Work done shared by A : B : C = 1/6 : 1/10 : 1/12
Multiply by 60, we will get,
Work done shared by A : B : C = 10 : 6 : 5
Let us assume ration variable is P.
According to question,
10P + 6P + 5P = 4200
⇒ 21P = 4200
⇒ P = 200
A’s share = 10P = 10 x 200 = ₹ 2000
B’s share = 6P = 6 x 200 = ₹ 1200,
C’s share = 5P = 5 x 200 = ₹ 1000

1. A can do a work in 20 days. After 5 days he is joined by B and they together finish the work in next 10 days. If the total amount paid for the work is ₹ 1600, find the share of each.

1. A works for total (5 + 10) = 15 days

 A’s work for 15 days = 15 = 3 . 20 4

 ∴ B’s share of work = 1 - 3 = 1 . 4 4

##### Correct Option: C

A works for total (5 + 10) = 15 days

 A’s work for 15 days = 15 = 3 . 20 4

 ∴ B’s share of work = 1 - 3 = 1 . 4 4

 A’s share: B’s share = 3 : 1 = 3 : 1 4 4

 ∴ A’s share = 3 × ₹ 1600 = ₹ 1200 3 + 1

A’s share = × ₹ 1600 = ₹ 1200
B’s share = ₹ (1600 – 1200) = ₹ 400.

1. 2 men and 1 woman can complete a piece of work in 14 days while 4 women and 2 men can do the same work in 8 days. If a man gets ₹ 60 per day, what should be the wages per day of a woman?

1. ( 2 men and 1 woman )’ s one day’s work = 1/ 14
In other words, 2 × 14 men and 1 × 14
women can complete the work in one day.......................................................( i)
( 4 women and 2 men )’ s one day’s work = 1/ 8
In other words, 4 × 8 women and 2 × 8 men can complete the work in one day......................... ( ii)
Now, from equations (i) and (ii),
28 men and 14 women = 16 men and 32 women

##### Correct Option: C

(2 men and 1 woman)’ s one day’s work = 1/ 14
In other words, 2 × 14 men and 1 × 14
women can complete the work in one day......................................( i)
(4 women and 2 men)’ s one day’s work = 1/ 8
In other words, 4 × 8 women and 2 × 8 men can complete the work in one day.......................................................( ii)
Now, from equations (i) and (ii),
28 men and 14 women = 16 men and 32 women
12 men = 18 women
18 women will get = ₹ 12 × 60 per day.

 1 woman will get = ₹ 12 × 60 = ₹ 40 per day. 18

1. A daily-wage laborer was engaged for a certain number of days for ₹ 5,750; but being absent on some of those days he was paid only ₹ 5,000. What was his maximum possible daily wage?

1. It is required to find the highest common factor of 5750 and 5000, because his daily wage is their common factor.

##### Correct Option: B

It is required to find the highest common factor of 5750 and 5000, because his daily wage is their common factor.
Hence, the daily wage is ₹ 250.