Question 1

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

Accepted Answer

Step 1: A and B work together for 12 days to complete the work. Step 2: A's daily wage = ₹500, B's daily wage = ₹700. Step 3: Work is paid in the ratio of daily wages (since both work for same duration). Ratio of payment = A's wage : B's wage = 500 : 700 = 5 : 7. Step 4: Total parts = 5 + 7 = 12. Step 5: B's share = (7/12) × 14,400 = 7 × 1,200 = ₹8,400. Therefore, B will receive ₹8,400.

Question 2

Three workers A, B, and C are paid in the ratio 2:3:5 for a job. If the total payment is ₹1000, how much does C receive?

Accepted Answer

Step 1: Let the payments be 2x, 3x, and 5x respectively. Step 2: Total = 2x + 3x + 5x = 10x = ₹1000. Step 3: x = ₹100. Step 4: C's payment = 5x = 5 × ₹100 = ₹500.

Question 3

Three workers X, Y, and Z are paid in the ratio 2:3:5 for completing a task. If the total payment is ₹1000, how much does Z receive?

Accepted Answer

Step 1: Payment ratio = 2:3:5. Step 2: Total parts = 2 + 3 + 5 = 10. Step 3: Z's share = (5/10) × 1000 = ₹500.

Question 4

A worker is paid ₹480 for 6 days of work. At the same rate, how much will he earn for 9 days of work?

Accepted Answer

Step 1: Daily wage = ₹480 ÷ 6 = ₹80 per day. Step 2: Wage for 9 days = ₹80 × 9 = ₹720.

Question 5

A contractor hires 15 workers to complete a road in 20 days. If he wants to complete the same road in 12 days, how many additional workers must he hire (assuming all workers work at the same rate)?

Accepted Answer

Step 1: Total work = 15 workers × 20 days = 300 worker-days. Step 2: For 12 days: Required workers = 300 ÷ 12 = 25 workers. Step 3: Additional workers needed = 25 − 15 = 10 workers.

Question 6

Two workers, P and Q, are paid ₹600 and ₹900 respectively for a job. If P completes 40% of the work and Q completes 60%, what is the ratio of their work rates?

Accepted Answer

Step 1: P's work = 40%, Q's work = 60%. Step 2: Work rate is proportional to work completed (assuming same time). Step 3: Ratio of work rates = P's work : Q's work = 40 : 60 = 2 : 3.

Question 7

A job is divided among 4 workers in the ratio 1:2:3:4. If the total payment for the job is ₹2000, how much more does the worker with the highest share earn compared to the worker with the lowest share?

Accepted Answer

Step 1: Ratio = 1:2:3:4. Step 2: Total parts = 1 + 2 + 3 + 4 = 10. Step 3: Lowest share (1 part) = (1/10) × 2000 = ₹200. Step 4: Highest share (4 parts) = (4/10) × 2000 = ₹800. Step 5: Difference = 800 − 200 = ₹600.

Question 8

A contractor hires 15 workers to complete a road in 24 days. After 8 days, he hires 5 additional workers. In how many more days will the road be completed?

Accepted Answer

Step 1: Total work = 15 workers × 24 days = 360 worker-days. Step 2: Work completed in 8 days = 15 × 8 = 120 worker-days. Step 3: Remaining work = 360 - 120 = 240 worker-days. Step 4: After hiring 5 more workers, total workers = 15 + 5 = 20. Step 5: Days needed = 240 ÷ 20 = 12 days.

Question 9

A and B are paid in the ratio 3:5 for a job. If the total payment is ₹4,800 and they complete the work in 20 days, what is A's daily wage?

Accepted Answer

Step 1: A and B are paid in ratio 3:5, so A's share = 3/(3+5) × 4,800 = 3/8 × 4,800 = ₹1,800. Step 2: B's share = 5/8 × 4,800 = ₹3,000. Step 3: A's daily wage = 1,800 ÷ 20 = ₹90 per day.

Question 10

Two workers, P and Q, are paid in the ratio of their work rates. P can complete a job in 10 days, and Q can complete it in 15 days. If the total payment for the job is ₹5000, how much will Q receive?

Accepted Answer

Step 1: Work rate of P = 1/10 per day. Work rate of Q = 1/15 per day. Step 2: Ratio of work rates = (1/10) : (1/15) = 3 : 2. Step 3: Payment is distributed in the ratio of work rates. Step 4: Q's share = (2/(3+2)) × 5000 = (2/5) × 5000 = ₹2000.

Question 11

A group of workers can complete a project in 18 days working 8 hours per day. If the same group works 6 hours per day, how many days will it take to complete the project, assuming the work rate per hour remains constant?

Accepted Answer

Step 1: Total work = 18 days × 8 hours/day = 144 hours of work. Step 2: If working 6 hours per day, number of days = 144 hours ÷ 6 hours/day = 24 days.

Question 12

Three workers X, Y, and Z are hired for a project. X and Y together earn ₹1200 per day. Y and Z together earn ₹1400 per day. X and Z together earn ₹1300 per day. If the project requires 15 days of combined work (where all three work together), what is the total wage bill?

Accepted Answer

Step 1: Let daily wages be x, y, z for X, Y, Z respectively. From given: x + y = 1200, y + z = 1400, x + z = 1300. Step 2: Add all three equations: 2(x + y + z) = 3900, so x + y + z = 1950. Step 3: Total wage for 15 days = 1950 × 15 = ₹29,250.

Question 13

A and B together earn ₹1200 per day. A works for 5 days and B works for 7 days, earning a total of ₹7800. If A's daily wage is ₹x, what is the value of x?

Accepted Answer

Step 1: Let A's daily wage = ₹x, then B's daily wage = ₹(1200 - x). Step 2: Total earnings equation: 5x + 7(1200 - x) = 7800. Step 3: 5x + 8400 - 7x = 7800. Step 4: -2x = -600. Step 5: x = 300.

Question 14

A contractor hires workers on the condition that each worker will be paid ₹500 per day if they work, or ₹100 per day as a penalty if they don't work. After 20 days, a worker receives ₹6800. For how many days did the worker actually work?

Accepted Answer

Step 1: Let x = days worked, then (20 - x) = days not worked. Step 2: Total payment = 500x + 100(20 - x) = 6800. Step 3: 500x + 2000 - 100x = 6800. Step 4: 400x = 4800. Step 5: x = 12 days.

SSC CHSL Work & Wages

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