Work and Wages problems
- 1. A man and a boy received ? 1400 as wages for 10 days for the work they did together. The man's efficiency in the work was six times that of the boy. What is the daily wages of the boy?
Options- A. ? 10
- B. ? 15
- C. ? 20
- D. ? 30 Discuss
Correct Answer: ? 20
Explanation:
The ratio of efficiency of man to boy
= 6 : 1
Efficiency ? Wages
? Boy's share = [1 / (1+6)] x 1400
(1/7) x 1400 = ? 200
Now, they worked for 10 days.
? Daily wages of a boy = 200/10 = ? 20
- 2. A can do a piece of work in 3 days while B can do the same work in 4 days. If they work together for a total wages of ? 2800. how much does A get?
Options- A. ? 1200
- B. ? 1900
- C. ? 1300
- D. ? 1600 Discuss
Correct Answer: ? 1600
Explanation:
A's 1 day's work = 1/3
B's 1 day's work = 1/4
A's share : B's share
= (1/3) : (1/4) = (4/12) : (3/12)
= 4 : 3
A's share = (4/7) x 2800
= 4 x 400
= ? 1600
- 3. A person can do a piece of work in 26 days and an another person can do the same work in 39 days. If they work together, then by what per cent the wages of 1 st person is more than that of 2nd person?
Options- A. 25%
- B. 35%
- C. 15%
- D. 50% Discuss
Correct Answer: 50%
Explanation:
Let 1st person be X and 2nd person be Y.
Then, X's 1 day's work = 1/26
Y's 1 day's work = 1/39
X's share : Y's share
= 1/26 : 1/39 = 3/78 : 2/78 = 3 : 2
Difference of ratio = 3 - 2 = 1
? Required percentage = (1/2) x 100% = 50%
? 1 st person's wages is 50 % more than the 2nd person's wages.
- 4. 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?
Options- A. ? 720
- B. ? 350
- C. ? 820
- D. ? 420 Discuss
Correct Answer: ? 720
Explanation:
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
- 5. 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?
Options- A. ? 120
- B. ? 100
- C. ? 60
- D. ? 80 Discuss
Correct Answer: ? 80
Explanation:
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
- 6. 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?
Options- A. 241/2 days
- B. 12 days
- C. 121/4 days
- D. 14 days Discuss
Correct Answer: 12 days
Explanation:
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
- 7. 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?
Options- A. ? 450
- B. ? 1000
- C. ? 225
- D. ? 900 Discuss
Correct Answer: ? 900
Explanation:
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
- 8. 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?
Options- A. ? 600
- B. ? 500
- C. ? 900
- D. ? 450 Discuss
Correct Answer: ? 600
Explanation:
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
- 9. A and B undertaken to do a piece of work for ? 1200. A alone can do it in 8 days, while B can do it in 6 days. With the help of C, they complete it in 3 days. Find C's share.
Options- A. ? 450
- B. ? 300
- C. ? 150
- D. ? 100 Discuss
Correct Answer: ? 150
Explanation:
According to the question.
1/A + 1/B + 1/C= 1/3 ? 1/8 + 1/6 + 1/C = 1/3
? 1/C = 1/3 - (1/8 + 1/6) = 1/24
? Ratio in share of A, B and C
= (1/8) : (1/6) : (1/24)
= (3/24) : (4/24) : (1/24)
= 3 : 4 : 1
? C's share = 1 / 3 + 4 + 1 x 1200 = ? 150
- 10. A person was appointed for a 50 days job on a condition that he will be paid ? 12 for every working day but he will be fined ? 6 for every day he remains absent. After the completion of the work, he got ? 420. For how many days. he did not work?
Options- A. 15 days
- B. 5 days
- C. 10 days
- D. 20 days Discuss
Correct Answer: 10 days
Explanation:
Let the person did not work for x days.
It means that he worked for (50 - x) days.
? Find for being absent = ? 6x
Wages for working days = 12 (50 - x)
According to the question,
Received wages = 12(50 - x) - 6x = 420
? 600 - 12x - 6x = 420
? 18x = 600 - 420 = 180
? x = 180/18 = 10 days
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