Learn and practice the chapter "Work and Wages" with these solved Aptitude Questions and Answers. Each question in the topic is accompanied by a clear and easy explanation, diagrams, formulae, shortcuts and tricks that help in understanding the concept.
Use of Work and Wages Questions
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1. Starting on Monday morning Ram can finish a task by Friday evening while Shyam takes 2 days more to get over with the same task. They take up a project together and are paid Rs 480/- for it. How much should be Shyam's share in the earnings?
a. Rs. 180
b. Rs. 200
c. Rs. 280
d. Rs. 300
Answer: b. Rs. 200
Explanation:
Tip:
Share of Income ∝
1
Number of days OR Time taken
∴ If ratio of time taken is a : b or
a
, then share of income is b : a or
b
b
a
Understand this problem as,
Ram can do a work in 5 days (Mon - Fri) while Shyam finishes it in 7 days.
Ratio of days of Ram to Shyam = 5:7
So their share of income will be → Ram's Income: Shyam's income = 7:5
∴ Shyam's income =
5
x 480 = Rs. 200
5+7
2. Working individually Piky, Quiky and Riky finish an assignment in 7, 8 and 11 days respectively. They work together on a project and are paid 1105 silver coins for it. Find the share of each of them in the earnings.
Let us consider Piky to be P, Quicky to be Q and Riky to be R.
Now, P takes 7 days; Q takes 8 days and R takes 11 days to complete the job
Ratio of days taken is P:Q:R = 7:8:11
Tip:
If ratio of time taken is a : b : c, then share of income is in ratio
bc : ac : ca
Easy way to remember -
Share of 'a' will only have 'bc' and not 'a'
Share of 'b' will only have 'ac' and not 'b'
Share of 'c' will only have 'ab' and not 'c'
Hence, Ratio of income share is
Income of P : Income of Q : Income of R = 8 x 11 : 7 x 11 : 7 x 8 = 88 : 77 : 56
Share of P =
88
x Total Amount =
88
x 1105 = 440
88+77+56
221
Share of Q =
77
x 1105 = 385
221
Share of R =
56
x 1105 = 280
221
3. Daily wages of men are 500% those of women. Two groups of 22 women each earn Rs 29568 while working for 8 weeks. Some men work on a similar project for 2 days less than 7 weeks and earn Rs 16920. How many men worked on the project?
a. 5 men
b. 6 men
c. 8 men
d. 9 men
Answer: b. 6 men
Explanation:
Some simplifications from the question:
i. Men's wage are 500% of women => Men's wages are 5 times that of women.
ii. Two groups of 22 women = 44 women
iii. 8 weeks = 56 days
iv. 2 days less than 7 weeks = 47 days
1 day wage of 44 women =
Rs.29568
56 days
1 day wage of 1 woman =
29568
= Rs. 12
56 days x 44 women
1 day wage of 1 man = 5 x 12 = Rs. 60
Using above concept,
1 day wage of 1 man =
Rs.16920
= Rs. 60
47 days x Number of Men
∴ Number of men =
16920
= 6 men
47x 60
4. Two friends Raman and Vaman work together on an assignment and take 10 days to finish it and were paid Rs 1155/- for it. If Raman was to work alone, he would take 15 days to finish the assignment. Find their share of each of them in the earnings.
a. Raman = Rs. 770; Vaman = Rs. 385
b. Raman = Rs. 605; Vaman = Rs. 550
c. Raman = Rs. 550; Vaman = Rs. 605
d. Raman = Rs. 385; Vaman = Rs. 770
Answer: a. Raman = Rs. 770; Vaman = Rs. 385
Explanation:
Raman's 1 day work =
1
15
(Raman + Vaman)'s 1 day work =
1
= 1 day work of Raman + 1 day work of Vaman
10
∴ 1 day work of Vaman =
1
-
1
=
1
10
15
30
Ratio of 1 day work of Raman and Vaman is given by Raman : Vaman =
1
:
1
= 2:1
15
30
If you work more you get proportionately more money
∴ Share of Raman : Share of Vaman = 2 : 1
Share of Raman =
2
x Total Amount =
2
x 1155 = Rs. 770
2+1
3
Share of Vaman =
1
x 1155 = Rs. 385
3
5. P and Q begin with the assignment and finish a particular part of the work. R works alone on the remaining 3/5 of the project. They are paid a total of 640 Rs for the complete work. What should be R's share in the earnings?
a. Rs. 256
b. Rs. 340
c. Rs. 384
d. Rs. 420
Answer: c. Rs. 384
Explanation:
R finishes 3/5th of the work so remaining work = 1 -
3
=
2
5
5
R does 3/5th of the work so share of R in income =
