Question 1

Shantanu can do a piece of work in 12 days and Manu can do the same work in 10 days. If they work together, in what ratio Shantanu and Manu will receive their wages?

Accepted Answer

Shantanu's 1 day's work = 1/2 Manu's 1 day's work =1/10 Shantanu's share : Manu's share =(1/12) : (1/10) = (5/60) : (6/60) = 5 : 6

Question 2

A can do a piece of work in 9 days and B can do the same work in 15 days. if they work together, in what ratio A and B will receive their wages?

Accepted Answer

A's 1 day's work = 1/9 B's 1 day's work = 1/15 A's share : B's share = (1/9) : (1/15) = (5/45) : (3/45) = 5 : 3

Question 3

A alone can do a piece of work in 8 days while B alone can do it in 10 days. If they together complete this work and get ₹ 900 as their remuneration, then find the share of both the persons.

Accepted Answer

A' s 1 day's work = 1/8 B' s 1 day's work = 1/10 ∴ A' s share : B' s share = 1/8 : 1/10 = 5/40 : 4/40 = 5 : 4 Let A' s share = 5k and B' s share = 4k. According to the question, 5k + 4k = 900 ⇒ 9k = 900 ∴ k = 100 ∴ A' s share = 5k = 5 x 100 = ₹ 500 and B' s share = 4k = 4 x 100 = ₹ 400.

Question 4

A alone can do a piece of work in 3 days, while B alone can do the same work in 2 days. If they work together to complete the work, their total wages is fixed ₹ 225. Find the share of A.

Accepted Answer

A's 1 day's work = 1/3 B's 1 day's work = 1/2 A's share : B's share = 1/3 : 1/2 = 2/6 : 3/6 = 2 : 3 Share of A = (2/5) x 225 = ₹ 90

Question 5

P, Q and R enter into a contract for a piece of the work for ₹ 1100. P and Q together are supposed to do 7/22 of the work. How much does R get?

Accepted Answer

Work done by (P + Q) = 7/22 Work done by R = 1 - (7/ 22) = (22-7)/22 = 15/22 ∴ (P + Q)'s share : R's share = (7/22) : (15/22) = 7 : 15 R's share = (15/22) x 1100 = 15 x 50 = ₹ 750

Question 6

A can complete a piece of work in 10 days, while B alone can complete it in 15 days. They work together for 5 days and rest of the work is done by C in 2 days. If they receive $ 450 for the whole work, how should they divide the money?

Accepted Answer

Question 7

Two men, A and B, working together, completed a piece of work. If worked individually, it would have taken them 30 and 40 days to complete the work. If they have received a payment of $2100, then B's share is:

Accepted Answer

Question 8

A can do a piece of work in 8 days. A undertook to it for $320. With the help of B, he finishes the work in 6 days. B's share is:

Accepted Answer

Question 9

If 6 persons working 8 hours a day earn $8400 per week, then 9 persons working 6 hours a day will earn per week:

Accepted Answer

Question 10

3 persons undertake to complete a piece of work for $1,200. The first person can complete the work in 8 days, second person in 12 days and third person in 16 days. They complete the work with the help of a fourth person in 3 days. What does the four…

Accepted Answer

Question 11

Samiara, Mahira and Kiara rented a set of DVDs at a rent of ₹ 578. If they used it for 8 hours, 12 hours and 14 hours respectively, what is Kiara's share of rent to be paid?

Accepted Answer

Question 12

A daily-wage laborer was engaged for a certain number of days for ₹ 5,750; but being absent on some of those days he was paid only ₹ 5,000. What was his maximum possible daily wage?

Accepted Answer

It is required to find the highest common factor of 5750 and 5000, because his daily wage is their common factor. Hence, the daily wage is ₹ 250.

Question 13

A can do a work in 12 days and B in 16 days. If both of them work together to do the work and get ₹ 2100, find the share of each.

Accepted Answer

A can do a work in 12 days. ∴ Work done by A = 1/12 B can do a work in 16 days. ∴ Work done by A = 1/16 Ration of Work done by A : Ration of Work done by B = 1/12 : 1/16 Ration of Work done by A : Ration of Work done by B = 4 : 3 A's shares = 2100 x 4/7 = 300 x 4 = ₹ 1200 B's share = 2100 x 3/7 = 300 x 3 = ₹ 900

Question 14

A can do a work in 20 days. After 5 days he is joined by B and they together finish the work in next 10 days. If the total amount paid for the work is ₹ 1600, find the share of each.

Accepted Answer

Question 15

A, B and C contract to do a work for ₹ 4200. A can do the work in 6 days, B in 10 days and C in 12 days. If they work together to do die work, what is the share of each? A B C

Accepted Answer

A, B and C contract to do a work for ₹ 4200. A can do the work in 6 days, B in 10 days and C in 12 days. From given question, As we know that A can do the work in 6 days. A can do 1/6 work in one day. B can do the same work in 10 days. B can do 1/10 work in one day. C can do the same work in 12 days. C can do 1/12 work in one day. Work done shared by A : B : C = 1/6 : 1/10 : 1/12 Multiply by 60, we will get, Work done shared by A : B : C = 10 : 6 : 5 Let us assume ration variable is P. According to question, 10P + 6P + 5P = 4200 ⇒ 21P = 4200 ⇒ P = 200 A's share = 10P = 10 x 200 = ₹ 2000 B's share = 6P = 6 x 200 = ₹ 1200, C's share = 5P = 5 x 200 = ₹ 1000

Question 16

2 men and 1 woman can complete a piece of work in 14 days while 4 women and 2 men can do the same work in 8 days. If a man gets ₹ 60 per day, what should be the wages per day of a woman?

Accepted Answer

Question 17

A, B and C undertake to do a job for ₹ 1110. A can do the job in 12 days, B in 15 days and C in 18 days. What does C get?

Accepted Answer

Question 18

A man and a boy received ₹ 800 as wages for 5 days for the work they did together. The man's efficiency in the work was three times that of the boy. What are the daily wages of the boy?

Accepted Answer

Question 19

A can do a work in 15 days. A and B together do the same work in 10 days. If they are paid ₹ 1500 for the work, how should the money be divided between A and B?

Accepted Answer

Question 20

A, B and C undertake to do a work for ₹ 480. A and B together do 5/ 8 of the work and the remaining work is done by C alone. How much should C get?

Accepted Answer

Work and Wages Questions