Work and Wages problems
- 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?
Options- A. 5 : 6
- B. 3 : 2
- C. 1 : 6
- D. 5 : 7 Discuss
Correct Answer: 5 : 6
Explanation:
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
- 2. 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?
Options- A. 3 : 5
- B. 5 : 3
- C. 2 : 5
- D. 5 : 2 Discuss
Correct Answer: 5 : 3
Explanation:
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
- 3. 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.
Options- A. A = ? 800 and B = ? 100
- B. A = ? 500 and B = ? 400
- C. A = ? 600 and B = ? 300
- D. A = ? 300 and B = ? 600 Discuss
Correct Answer: A = ? 500 and B = ? 400
Explanation:
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.
- 4. 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.
Options- A. ? 90
- B. ? 75
- C. ? 95
- D. ? 65 Discuss
Correct Answer: ? 90
Explanation:
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
- 5. 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?
Options- A. ? 750
- B. ? 350
- C. ? 4751
- D. ? 900 Discuss
Correct Answer: ? 750
Explanation:
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
- 6. A can complete a piece of work in 10 days, while B alone can complete it in 15 days. They work together for 5 days and rest of the work is done by C in 2 days. If they receive $ 450 for the whole work, how should they divide the money?
Options- A. $250, $100, $100
- B. $225, $150, $75
- C. $200, $150, $100
- D. $175, $175, $100 Discuss
Correct Answer: $225, $150, $75
Explanation:
- 7. Two men, A and B, working together, completed a piece of work. If worked individually, it would have taken them 30 and 40 days to complete the work. If they have received a payment of $2100, then B's share is:
Options- A. $900
- B. $1200
- C. $800
- D. $1300 Discuss
Correct Answer: $900
Explanation:
- 8. A can do a piece of work in 8 days. A undertook to it for $320. With the help of B, he finishes the work in 6 days. B's share is:
Options- A. $80
- B. $240
- C. $100
- D. $120 Discuss
Correct Answer: $80
Explanation:
- 9. If 6 persons working 8 hours a day earn $8400 per week, then 9 persons working 6 hours a day will earn per week:
Options- A. $8400
- B. $16800
- C. $9450
- D. $16200 Discuss
Correct Answer: $9450
Explanation:
- 10. 3 persons undertake to complete a piece of work for $1,200. The first person can complete the work in 8 days, second person in 12 days and third person in 16 days. They complete the work with the help of a fourth person in 3 days. What does the fourth person get?
Options- A. $180
- B. $200
- C. $225
- D. $250 Discuss
Correct Answer: $225
Explanation:
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