Work and Wages problems
- 1. Ram can do a work in 9 days and Shyam in 15 days. If both work together to complete the work, in what ratio should the total earnings be shared?
Options- A. 3 : 5
- B. 5 : 3
- C. 2 : 3
- D. None of these Discuss
Correct Answer: 5 : 3
Explanation:
- 2. Wage of 10 women for 5 days is ? 1250. The daily wage of a man is twice that of a woman. How many men must work for 8 days to earn ? 1600?
Options- A. 7
- B. 6
- C. 5
- D. 4 Discuss
Correct Answer: 4
Explanation:
- 3. A, B and C undertake to complete a piece of work for ? 2574. A works for 8 days, B for 9 days and C for 12 days to complete the work. If their daily wages are in the ratio of 3 : 5 : 4, what does C get?
Options- A. ? 987
- B. ? 1035
- C. ? 1100
- D. None of these Discuss
Correct Answer: None of these
Explanation:
- 4. A and B undertake to do a work together for ? 600. A alone can do it in 15 days and B in 20 days. But with the assistance of C they finish it in 5 days. How is the money to be divided among them?
A , B and C
Options- A. 200 , 200 , 200
- B. 200 , 250 ,150
- C. 200 , 150 , 250
- D. 150 , 200 , 250 Discuss
Correct Answer: 200 , 150 , 250
Explanation:
- 5. A, B and C together earn ? 375 in 5 days. A and B together earn ? 450 in 10 days. A and C together earn ? 200 in 4 days. Find the daily earning of each.
A , B and C
Options- A. 25 , 30 , 20
- B. 20 , 25 , 30
- C. 30 , 25 , 20
- D. 30 , 20 , 25 Discuss
Correct Answer: 20 , 25 , 30
Explanation:
- 6. 5 men and 6 women can earn ? 2160 in 4 days. 8 men and 10 women can earn ? 4400 in 5 days. In how many days can 4 men and 9 women earn ? 1800?
Options- A. 3
- B. 4
- C. 5
- D. 6 Discuss
Correct Answer: 3
Explanation:
- 7. A can complete a job in 12 days, while B can complete the job in 15 days. Both of them worked for 5 days, and the rest of the work was finished by C, If their total earning was ? 720. Find the wages of B?
Options- A. ? 95
- B. ? 100
- C. ? 104
- D. ? 240 Discuss
Correct Answer: ? 240
Explanation:
- 8. A can finish a work in 15 days. B in 20 days and C in 25 days. All these three worked together and earned ? 4700. The share of C is
Options- A. ? 1200
- B. ? 1500
- C. ? 1800
- D. ? 2000 Discuss
Correct Answer: ? 1200
Explanation:
A's 1 day's work = 1/15
B's 1 day's work = 1/20
C's 1 day's work = 1/25
A, B and C worked together.
? (A + B + C)'s 1 day's work = (1/15) + (1/20) + (1/25)
= (20 + 15 + 12)/ 300
= 47/300
Days taken to complete work by A, B and C working together = 300/47
? Share of C = (1/25) x (300/47) x 47000
= ? 1200
- 9. Ramesh and Suresh undertaken to do a piece of work for ? 800. Ramesh alone can do it in 12 days, while Suresh alone can do it in 16 days. With the assistance of a boy, they finish it in 6 days. How should the money be divided?
Options- A. Ramesh = ? 100, Suresh = ? 300 and boy = ? 400
- B. Ramesh = ? 200, Suresh = ? 200 and boy = ? 400
- C. Ramesh = ? 400, Suresh = ? 300 and boy = ? 100
- D. Ramesh = ? 300, Suresh = ? 400 and boy = ? 100 Discuss
Correct Answer: Ramesh = ? 400, Suresh = ? 300 and boy = ? 100
Explanation:
Ramesh's 1 day's work = 1/12
Suresh's 1 day's work = 1/16
(Ramesh + Suresh)'s 1 day work = (1/12) + (1/16)
= (16 + 12) / (12 x 16)
= 28/192
= 7/48
Given that, (Ramesh + Suresh + Boy)'s
1 day's work = 1/6
? Boy's 1 day's work = (1/6) - (7/48) = (8 - 7)/ 48 = 1/48
? Ramesh's share : Suresh's share : Boy's share = 1/12 : 1/16 : 1/48
= (8/96) : (6/96) : (2/96)
= 8 : 6 : 2
= 4 : 3 : 1
Let Ramesh's share be 4k , Suresh's share be 3k and boy's share be k.
According to the question,
4k + 3k + k = 800
8k = 800
? k = 800/8 = 100
? Ramesh's share = 4k = 4 x 100 = ? 400
Suresh's share = 3k = 3 x 100 = ? 300
Boy's share = k = ? 100
- 10. A, B and C can do a piece of work in 20, 24 and 30 days, respectively. They undertook to do the piece of work for ? 5400. They begin the work together but B left 2 days before the completion of work and C left 5 days before the completion of work. The share of A from the assured money is
Options- A. ? 2700
- B. ? 540
- C. ? 1800
- D. ? 600 Discuss
Correct Answer: ? 2700
Explanation:
Let the number of days to complete the work be N.
According to the question,
k/20 + (k - 2)/24 + (k - 5)/ 30 = 1
? [6k + 5(k - 2) + 4(k - 5)] / 120 = 1
? 6k + 5k + 4k = 120 + 10 + 20
? 15k = 150
? k = 10
? Work done by A = 10/20 = 1/2
? Share of A from the assured money
= (1/2) x 5400
= ? 2700
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