Question 1

A man and a boy received ₹ 1400 as wages for 10 days for the work they did together. The man's efficiency in the work was six times that of the boy. What is the daily wages of the boy?

Accepted Answer

The ratio of efficiency of man to boy = 6 : 1 Efficiency ∝ Wages ∴ Boy's share = [1 / (1+6)] x 1400 (1/7) x 1400 = ₹ 200 Now, they worked for 10 days. ∴ Daily wages of a boy = 200/10 = ₹ 20

Question 2

A can do a piece of work in 3 days while B can do the same work in 4 days. If they work together for a total wages of ₹ 2800. how much does A get?

Accepted Answer

A's 1 day's work = 1/3 B's 1 day's work = 1/4 A's share : B's share = (1/3) : (1/4) = (4/12) : (3/12) = 4 : 3 A's share = (4/7) x 2800 = 4 x 400 = ₹ 1600

Question 3

A person can do a piece of work in 26 days and an another person can do the same work in 39 days. If they work together, then by what per cent the wages of 1 st person is more than that of 2nd person?

Accepted Answer

Let 1st person be X and 2nd person be Y. Then, X's 1 day's work = 1/26 Y's 1 day's work = 1/39 X's share : Y's share = 1/26 : 1/39 = 3/78 : 2/78 = 3 : 2 Difference of ratio = 3 - 2 = 1 ∴ Required percentage = (1/2) x 100% = 50% ∴ 1 st person's wages is 50 % more than the 2nd person's wages.

Question 4

A alone can finish a work in 2 days, while B alone can finish it in 3 days. if they work together to finish it, them out of total wages of ₹ 6000, what will be the 20% of A's share?

Accepted Answer

A's 1 day's work = 1/2 B's 1 day's work = 1/3 A's share : B's share = 1/2 : 1/3 = 3/6 : 2/6 = 3 : 2 A's share (3/5) x 6000 = 3 x 1200 = ₹ 3600 ∴ 20% of A's share 3600 x (20/100) = ₹ 720

Question 5

Vandana can do a piece of work in 10 days. With the help of Ruchi, she can do the same work in 6 days. If they get ₹ 200 for that work, then what will be the share of Ruchi in the received remuneration?

Accepted Answer

Vandana's 1 day's work = 1/10 (vandana + Ruchi)'s 1 day work =1/6 ∴ Ruchi's 1 day's work = 1/6 - 1/10 = (10 - 6)/ (6 x 10) = 4 / 60 = 1/15 ∴ Vandana's share : Ruchi's share = 1/10 : 1/15 = 3/30 : 2/30 = 3 : 2 Ruchi's share = 2/5 x 200 = ₹ 80

Question 6

A sum of money is sufficient to pay A's wages for 21 days and B's wages for 28 days. The same money is sufficient to pay the wages of both for?

Accepted Answer

A's 1 day's work = 1/21 B's day's work = 1/28 ∴ Same money is sufficient to pay the wages of both for = 1 / [(1/21) + (1/28)] = (21 x 28) / (21 + 28) = (21 x 28) / 49 = 3 x 4 = 12 days

Question 7

Amit, Vipul and Kapil can do a piece of work in 12, 16 and 24 days, respectively. If they complete the work together and get an amount of ₹ 2700, then what is the share of Vipul in that amount?

Accepted Answer

1 day's work of Amit = 1/12 1 day's work of Vipul = 1/16 1 day's work of Kapil = 1/24 Amit's share : Vipul's share : Kapil's share = (1/12) : (1/16) : (1/24) = 4/48 : 3/48 : 2/48 = 4 : 3 : 2 Now, Vipul's share = (3/9) x 2700 =3 x 300 = ₹ 900

Question 8

A, B and C completed a work costing ₹ 1800. A worked for 6 days, B worked for 4 days and C worked for 9 days. If their daily wages are in the ratio of 5 : 6 : 4, how much amount will be received by A?

Accepted Answer

Ratio of the wages of A, B and C = 5 : 6 : 4 A's share : B's share : C ' share = (6 x 5) : (4 x 6) : (9 x 4) =30 : 24 : 36 = 5 : 4 : 6 ∴ A's share = (5/15) x 1800 = ₹ 600

Question 9

A and B undertaken to do a piece of work for ₹ 1200. A alone can do it in 8 days, while B can do it in 6 days. With the help of C, they complete it in 3 days. Find C's share.

Accepted Answer

According to the question. 1/A + 1/B + 1/C= 1/3 ⇒ 1/8 + 1/6 + 1/C = 1/3 ⇒ 1/C = 1/3 - (1/8 + 1/6) = 1/24 ∴ Ratio in share of A, B and C = (1/8) : (1/6) : (1/24) = (3/24) : (4/24) : (1/24) = 3 : 4 : 1 ∴ C's share = 1 / 3 + 4 + 1 x 1200 = ₹ 150

Question 10

A person was appointed for a 50 days job on a condition that he will be paid ₹ 12 for every working day but he will be fined ₹ 6 for every day he remains absent. After the completion of the work, he got ₹ 420. For how many days. he did not work?

Accepted Answer

Let the person did not work for x days. It means that he worked for (50 - x) days. ∴ Find for being absent = ₹ 6x Wages for working days = 12 (50 - x) According to the question, Received wages = 12(50 - x) - 6x = 420 ⇒ 600 - 12x - 6x = 420 ⇒ 18x = 600 - 420 = 180 ∴ x = 180/18 = 10 days

Question 11

Ram can do a work in 9 days and Shyam in 15 days. If both work together to complete the work, in what ratio should the total earnings be shared?

Accepted Answer

Question 12

Wage of 10 women for 5 days is ₹ 1250. The daily wage of a man is twice that of a woman. How many men must work for 8 days to earn ₹ 1600?

Accepted Answer

Question 13

A, B and C undertake to complete a piece of work for ₹ 2574. A works for 8 days, B for 9 days and C for 12 days to complete the work. If their daily wages are in the ratio of 3 : 5 : 4, what does C get?

Accepted Answer

Question 14

A and B undertake to do a work together for ₹ 600. A alone can do it in 15 days and B in 20 days. But with the assistance of C they finish it in 5 days. How is the money to be divided among them? A , B and C

Accepted Answer

Question 15

A, B and C together earn ₹ 375 in 5 days. A and B together earn ₹ 450 in 10 days. A and C together earn ₹ 200 in 4 days. Find the daily earning of each. A , B and C

Accepted Answer

Question 16

5 men and 6 women can earn ₹ 2160 in 4 days. 8 men and 10 women can earn ₹ 4400 in 5 days. In how many days can 4 men and 9 women earn ₹ 1800?

Accepted Answer

Question 17

A can complete a job in 12 days, while B can complete the job in 15 days. Both of them worked for 5 days, and the rest of the work was finished by C, If their total earning was ₹ 720. Find the wages of B?

Accepted Answer

Question 18

A can finish a work in 15 days. B in 20 days and C in 25 days. All these three worked together and earned ₹ 4700. The share of C is

Accepted Answer

A's 1 day's work = 1/15 B's 1 day's work = 1/20 C's 1 day's work = 1/25 A, B and C worked together. ∴ (A + B + C)'s 1 day's work = (1/15) + (1/20) + (1/25) = (20 + 15 + 12)/ 300 = 47/300 Days taken to complete work by A, B and C working together = 300/47 ∴ Share of C = (1/25) x (300/47) x 47000 = ₹ 1200

Question 19

Ramesh and Suresh undertaken to do a piece of work for ₹ 800. Ramesh alone can do it in 12 days, while Suresh alone can do it in 16 days. With the assistance of a boy, they finish it in 6 days. How should the money be divided?

Accepted Answer

Ramesh's 1 day's work = 1/12 Suresh's 1 day's work = 1/16 (Ramesh + Suresh)'s 1 day work = (1/12) + (1/16) = (16 + 12) / (12 x 16) = 28/192 = 7/48 Given that, (Ramesh + Suresh + Boy)'s 1 day's work = 1/6 ∴ Boy's 1 day's work = (1/6) - (7/48) = (8 - 7)/ 48 = 1/48 ∴ Ramesh's share : Suresh's share : Boy's share = 1/12 : 1/16 : 1/48 = (8/96) : (6/96) : (2/96) = 8 : 6 : 2 = 4 : 3 : 1 Let Ramesh's share be 4k , Suresh's share be 3k and boy's share be k. According to the question, 4k + 3k + k = 800 8k = 800 ∴ k = 800/8 = 100 ∴ Ramesh's share = 4k = 4 x 100 = ₹ 400 Suresh's share = 3k = 3 x 100 = ₹ 300 Boy's share = k = ₹ 100

Question 20

A, B and C can do a piece of work in 20, 24 and 30 days, respectively. They undertook to do the piece of work for ₹ 5400. They begin the work together but B left 2 days before the completion of work and C left 5 days before the completion of work. T…

Accepted Answer

Let the number of days to complete the work be N. According to the question, k/20 + (k - 2)/24 + (k - 5)/ 30 = 1 ⇒ [6k + 5(k - 2) + 4(k - 5)] / 120 = 1 ⇒ 6k + 5k + 4k = 120 + 10 + 20 ⇒ 15k = 150 ∴ k = 10 ∴ Work done by A = 10/20 = 1/2 ∴ Share of A from the assured money = (1/2) x 5400 = ₹ 2700

Work and Wages Questions