Bissoy.com
Doctors Medicines MCQs Q&A

P, Q and R can complete a piece of work together in 4 days. P alone can complete it in 8 days while R alone can complete it in 10 days. If the total wages to be paid to complete the work is Rs.2,000, how much wages are paid to Q to complete the work ?

P, Q and R can complete a piece of work together in 4 days. P alone can complete it in 8 days while R alone can complete it in 10 days. If the total wages to be paid to complete the work is Rs.2,000, how much wages are paid to Q to complete the work ? Correct Answer Rs. 200

Given:

P, Q and R can complete a piece of work together in 4 days.

P alone can complete the work in 8 days.

R alone can complete the work in 10 days.

Total wages to be paid to complete the work is Rs.2,000.

Concepts used:

1 day work done by individual = Work/time

Time = Work/Efficiency

Calculation:

1 day work of P = 1/8

1 day work of R = 1/10

Let Q alone complete a piece of work in x days.

P, Q and R can complete a piece of work together in 4 days.

⇒ (1/8) + (1/10) + (1/x) = 1/4

⇒ 9/40 + (1/x) = 1/4

⇒ 1/x = (1/4) – (9/40)

⇒ x = 40 days

Ratio of efficiency of P, Q and R = 1/8 ∶ 1/40 ∶ 1/10 = 5 ∶ 1 ∶ 4

Total wages to be paid to complete the work is Rs.2,000.

Wages paid to Q if he alones complete the work = 1/(5 + 4 + 1) × Rs. 2,000 = Rs. 200

∴ Q will earn Rs. 200 if he alone would complete the work. 

Related Questions

Given below are two quantities. Based on the given information, you have to determine the relation between the two quantities. Quantity A: P, Q and R can complete a piece of work alone in 10, 15 and 20 days respectively. They started together but P left after some days due to which the wages paid to P and R are same. If the work lasts 6 days, find after how many days P left. Quantity B: The sum and difference of wages of X and Y is Rs. 1120 and Rs. 160. Find the number of days in which X will complete the work alone if Y alone does it in 4 days. 
In the following question, two statements are numbered as A and B. On solving these statements, we get quantities A and B respectively. Solve both quantities and choose the correct option. Quantity A: A can do a piece of work in 10 days and B can do the same work in 15 days. They start working together and after 4 days, A left the work. Find in how many days the total work will be completed. Quantity B: P can do a piece of work in 15 days and Q can do the same work in 25 days. They start working together and after 5 days, Q left the work. Find in how many days the remaining work will gets completed.
A, B and C can together complete a work in 20 days. On the other hand, B and C can together complete the work in 30 days, while C can complete the work alone in 50 days. If A left when the work was 20% complete, while B left when the work was 50% complete, and C completed rest of the work alone, in how many days will the work be complete?
Given below are two quantities named A & B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers. Quantity A: A and B together, B and C together and C and A together can complete a piece of work in 10, 12 and 20 days respectively. In how many days can B finish the work alone? Quantity B: P & Q working alone can complete a wok in 20 and 30 days respectively. They started together but after 9 days P left, in how many days will the total work be completed?
A alone can do a piece of work in 10 days, A and B together can do the same piece of work in 20/3 days. A, B and C together can do the same piece of work in 40/7 days. In how many days can B and C together do the same piece of work?
Given below are two quantities named A and B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers. Quantity A: M and N can complete the work in 10 and 20 days respectively. They started doing work together but after 4 days M left the work. In what time N can complete the remaining work? Quantity B: A and B can together complete the work in 12 days. A alone can complete the work in 30 days. If B works for first 4 days alone and then A joins the work, in how many days remaining work will be complete?
Each of the question below consists of a question and three statements number I, II and III given below it. You have to decide whether the data provided in the statement are sufficient to answer the question. Two person X and Y together can make 25% of total number of bricks in 4.8 days. Another person Z can make 50 bricks in a day. What is the time taken by person X and Z together to make the total number of bricks? I. Dimensions of a brick is (3cm × 4cm × 5cm) while the dimension of a cuboids when all the bricks are put together is (72cm × 80cm × 50cm) and ratio of number of days taken by X and Y alone to make the total number of bricks is 3 : 2. II. The total number of bricks is 4800 and person Y can make 150 bricks in day. III. Total volume of all the bricks together is 1.008m3 and dimension of a bricks is (5cm × 6cm × 7cm) and time taken by Z to make total number of bricks is 200 % more than the total time taken by person Y to make total number of bricks.
G and J together can complete a piece of work in 8 days, J and K together can complete same piece of work in 12 days while G and K together can complete the work in 20 days. In how many days will the work be completed if all individuals – G, J and K work together?
K and L can complete a piece of work together in 15 days. K starts working and works for 10 days to complete two-fifth piece of work. L completes the remaining piece of work. The per-day wages paid to L  is Rs. 200. How much does L earn from completion of the remaining piece of work?
Choose the correct option from the following Quantity I: If A and B can do a piece of work in 10 days, B and C in 12 days and if all three are together then said work is done in 8 days. In how many days would C and A complete the work if working together? Quantity II: A can do a piece of work in 2/5th of work in 10 days and B can do 1/2 of the same work in 8 days. If both of them are working together then in how many days would the work get completed?