Question 1

A and B together can complete a job in 12 days. If A's daily wage is ₹500 and B's daily wage is ₹700, and they are paid in proportion to the work done, how much will A earn if the total payment for the job is ₹14,400?

Accepted Answer

Step 1: A and B work together for 12 days. Since they work at the same rate (both complete the job together), they contribute equally to the work. Step 2: A's contribution = 50% of total work, B's contribution = 50% of total work. Step 3: Payment is distributed in proportion to work done. A earns 50% of ₹14,400 = ₹7,200. Therefore, answer is B.

Question 2

A contractor hires 8 workers to complete a project in 24 days. After 6 days, 2 workers leave. How many additional days will it take to complete the remaining work?

Accepted Answer

Step 1: Total work = 8 workers × 24 days = 192 worker-days. Step 2: Work completed in 6 days = 8 workers × 6 days = 48 worker-days. Step 3: Remaining work = 192 - 48 = 144 worker-days. Step 4: After 2 workers leave, 6 workers remain. Step 5: Days needed = 144 ÷ 6 = 24 days. Step 6: Additional days beyond the original 6 = 24 days (or total project time becomes 6 + 24 = 30 days).

Question 3

A and B together can complete a piece of work in 12 days. If A's daily wage is ₹150 and B's daily wage is ₹100, and they are paid in the ratio of work done, how much will B receive if the total payment for the job is ₹3,100?

Accepted Answer

Step 1: A and B together complete work in 12 days. Since no individual rates are given, assume equal work capacity — A and B do equal amounts of work. Step 2: Work done ratio A:B = 1:1. Step 3: Payment is distributed in ratio of work done, not wages. So A gets 1/(1+1) × 3100 = 1550 and B gets 1/(1+1) × 3100 = 1550. Wait — re-read: they are paid in ratio of work done. If work is equal, payment is equal. But the question states daily wages differ (₹150 vs ₹100). This means work rates differ. Step 4: Work rate is proportional to daily wage when both work the same number of days. A's work rate : B's work rate = 150:100 = 3:2. Step 5: In 12 days, A does 3k work units and B does 2k work units (total 5k). Step 6: B's share = (2k)/(5k) × 3100 = 2/5 × 3100 = 1240.

Question 4

A worker is paid ₹500 per day. If he works for 18 days and completes 3/4 of a project, what is his total wage for completing the entire project at the same rate?

Accepted Answer

Step 1: Worker earns ₹500 per day for 18 days = ₹9,000 for 3/4 of the project. Step 2: If 3/4 of project costs ₹9,000, then 1/4 of project costs ₹9,000 ÷ 3 = ₹3,000. Step 3: Total wage for entire project = ₹9,000 + ₹3,000 = ₹12,000. Alternatively: Wage per unit work = ₹9,000 ÷ (3/4) = ₹12,000.

Question 5

A, B, and C together can complete a project in 12 days. A's daily wage is ₹150, B's daily wage is ₹120, and C's daily wage is ₹180. If they work together for 8 days and then A leaves, while B and C continue and complete the remaining work in 6 more days, what is the total amount paid to B for the entire project?

Accepted Answer

Step 1: Find total work in terms of man-days. A, B, C together complete the project in 12 days, so total work = 12 man-days (assuming equal work rates, or we work with combined rate). Step 2: In 8 days, A, B, C together complete 8/12 = 2/3 of the work. Remaining work = 1/3. Step 3: B and C complete 1/3 of work in 6 days. So B and C's combined rate = (1/3)/6 = 1/18 of work per day. Step 4: From A, B, C's combined rate: 1/12 per day. So A's rate = 1/12 − 1/18 = 3/36 − 2/36 = 1/36 per day. Step 5: B's individual rate = (1/18 − C's rate). From 1/12 = A's rate + B's rate + C's rate = 1/36 + B's rate + C's rate, we get B's rate + C's rate = 1/12 − 1/36 = 2/36 = 1/18. Step 6: B works for 8 + 6 = 14 days total. B's wage per day = ₹120. Total paid to B = 14 × 120 = ₹1680.

RRB Group D Work & Wages

Work & Wages— Rules & Concept

Key Points to Remember

Exam-Specific Tips

Work & Wages — Practice Questions

60-Second Revision — Work & Wages