# arsh and naman contract to do work together for rs. 300. arsh alone can do it in 8 days and naman alone in 12 days. but with the help of prateek, they finished it in 4 days. what is the share of prateek?

### Mohammed

Guys, does anyone know the answer?

get arsh and naman contract to do work together for rs. 300. arsh alone can do it in 8 days and naman alone in 12 days. but with the help of prateek, they finished it in 4 days. what is the share of prateek? from screen.

## A alone can complete a piece of work of Rs. 300 in 6 days; but by engaging an assistant,the work is completed in 4 days. Find the share to be received by the assistant.

A alone can complete a piece of work of Rs. 300 in 6 days; but by engaging an assistant,the work is completed in 4 days. Find the share to be received by the

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A alone can complete a piece of work of Rs. 300 in 6 days; but by engaging an assistant,the work is completed in 4 days. Find the share to be received by the assistant.

Updated On: 27-06-2022

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## [Solved] A and B undertake a piece of work for Rs. 300. A can do it i

Given: A and B undertake a piece of work for Rs. 300 A can do it in 20 days B can do it in 60 days Calculation: A’s efficiency = 60/20 = 3 B&

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### A and B undertake a piece of work for Rs. 300. A can do it in 20 days and B can do it in 60 days. With the help of C, they finish it in 10 days. How much should C be paid for her contribution?

Rs. 100 Rs. 200 Rs. 300 Rs. 250 Rs. 150

Answer (Detailed Solution Below)

Option 1 : Rs. 100 Detailed Solution

Download Solution PDF

**Given:**

A and B undertake a piece of work for Rs. 300

A can do it in 20 days

B can do it in 60 days

**Calculation:**

A’s efficiency = 60/20 = 3

B’s efficiency = 60/60 = 1

Combined Efficiency of A, B, and C = 60/10= 6

C’s efficiency = 6 – 3 -1 = 2

C contributed 1/3 of the total work done.

**∴ C should be paid 1/3 of the total amount = 300/3 = Rs. 100**

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## More Work and Wages Questions

**Q1.**A and B undertake to do a piece of work for Rs. 18,750. A can do it in 20 days and B can do it in 30 days. With the help of C, they finished it in 8 days. How much C should be paid for his work in proportion?

**Q2.**The daily wages of men and women are in the ratio 4 ∶ 3. 15 men and 25 women together earn Rs. 5,400. Find the total wages of one man and 5 women.

**Q3.**'A' alone can complete a work for Rs. 6,500 in 15 days. With the help of 'B', the work is completed in 12 days. The share of 'B' is:

**Q4.**A and B together can do a piece of work in 24 days. B and C together can do it in 36 days. If A is thrice as good a workman as C, in how many days can B alone do the work?

**Q5.**A and B worked together and received a total of Rs. 18,000 for 15 days. A's efficiency in the work was 5 times that of B's. The daily wage of A (in Rs.) was:

**Q6.**Ajeet and Bharni can complete a work in 12 days and 16 days. If they work together to complete the task and get Rs. 2100, then find the share of Bharni.

**Q7.**'A’ alone can complete a piece of work for Rs. 4,800 in 16 days, but by engaging an assistant, the work is completed in 12 days, Find the share to be received by the assistant.

**Q8.**4 men and 5 women can earn Rs. 8,800 in 8 days. 7 men and 10 women can earn Rs. 10,250 in 5 days. In how many days will 8 men and 12 women earn Rs. 21,600?

**Q9.**2 men and women together can complete a piece of work in 14 days, while 4 women and 2 men together can do it in 8 days. If a man gets Rs. 600 per day how much should a woman get per day ?

**Q10.**A girl writes 4 pages in 1 hour after that she takes break for 10 minutes. At what time she writes 48 pages if she started at 8:00 AM.

## More Time and Work Questions

**Q1.**If seven persons can build a house in 30 days, how long will it take three persons to build the same house, provided that they all work at the same rate?

**Q2.**A, B and C can complete a work in 12, 16 and 24 days respectively. B and C worked together for 4 days then C left the work and A replaced him. In how many days will the remaining work be completed?

**Q3.**Ram and Rahim together have Rs. 1210. If

13

of Ram's money is equal to

25

of Rahim's amount, then what is the amount (in Rs.) that Rahim has?

**Q4.**P, Q, R can do a piece of work in 40 days, 90 days and 36 days, respectively. P started the work. Q joined him after 7 days. If R joined them after 8 days from the beginning, then for how many days did R work?

**Q5.**Pipe A can fill 50% of a tank in 4 hours and pipe B can completely fill the same tank in 12 hours. If both the pipes are opened at the same time, then in how much time will the empty tank be completely filled?

**Q6.**A man can do a work in 20 days and a woman can do the same work in 30 days. In how many days will 2 men and 3 women do the work?

**Q7.**A and B undertake to do a piece of work for Rs. 18,750. A can do it in 20 days and B can do it in 30 days. With the help of C, they finished it in 8 days. How much C should be paid for his work in proportion?

**Q8.**8 men or 12 women can do a piece of work in 24 days. In how many days can the work be done by 8 men and 12 women?

**Q9.**A group of men can do a job in 25 days. But 10 men did not turn up for the job and the remaining men did the job in 30 days. The original number of men in group was

**Q10.**10 workers working with same speed were deployed to construct a structure. 2 workers left on the 2nd day, another 2 left on the 3rd day and this went on till the work is completed. As a result 2 more days were needed to complete the work. Select the number of days that were needed if 10 workers worked for all days.

## More Quantitative Aptitude Questions

**Q1.**At what rate of interest per annum, simple interest on Rs. 2560 will be Rs. 1728 in 4

12 years.

**Q2.**A boat travel 240 km downstream in 3 hours and the time is taken by the boat to travel the same distance in upstream in 6 hours. Find the speed of stream (in kmph).

## Work and Wages: Formulas Shortcuts with Solved Examples

Questions based on work and wages are extremely easy to solve and students should surely attempt these questions in competitive examinations. Attempting easy questions helps students to increase/maximize their score in entrance examinations.

## Work and Wages

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**Basic Concept with Examples**

## Basic Concept with Examples

### FORMULAS:

**1)**Total Wage = Total number of days × Wage of 1 day of a person

**Example: If Arjun's monthly wage is Rs 4200 and he worked for 30 days, then his daily wage is calculated as**

4200 = 30 × Wage of 1 day of a person (Daily Wage)

Daily Wage = 4200/30 = Rs 140

**2)**Wage is directly proportional to the work done. It means, more money is received for more work and less money is received for less work.

**3)**Wage is indirectly proportional to the time taken by the individual.

**4)**Wage is directly proportional to 1 day work of each individual.

**Example: If Karan can do a piece of work in 10 days and Arjun can do the same piece of work in 15 days.**

Then, ratio of Karan and Arjun's wage will be 15:10 = 3:2

**5)**If A and B can do a piece of work in x and y days respectively, the ratio of their wages will be y:x. Then the wages earned by A and B will be

Wage of A = Total wages × y/(x + y)

Wage of B = Total wages × x/(x + y)

Q1) A, B and C contract to do a work for Rs 6500. A can do the work in 10 days, B in 15 days and C in 20 days. If they work together to do the work, what is the share of B?1) Rs 2000 2) Rs 3000 3) Rs 1500 4) Rs 2500 **Solution:**

Work = LCM(10, 15, 20) = 60 units

Work done in a day: A = 6 units/day, B = 4 units/day, C = 3 units/day

Share of B = (4/13) × 6500 = Rs 2000

Q2) A can finish a work in 15 days, B in 20 days and C in 25 days. All these three worked together and earned Rs 4700. The share of C isHence, option 1. 1) Rs 1200 2) Rs 1500 3) Rs 1800 4) Rs 2000 **Solution:**

Work = LCM(15, 20, 25) = 300 units

Work done in a day: A = 20 units/day, B = 15 units/day, C = 12 units/day

Share of C = (12/47) × 4700 = Rs 1200

Q3) A and B undertake to do a piece of work for Rs 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 the share of C.Hence, option 1. 1) Rs 450 2) Rs 300 3) Rs 150 4) Rs 100 **Solution:**

Work = LCM(8, 6, 3) = 24 units

Work done in a day: A = 3 units/day, B = 4 units/day, A + B + C = 8 units/day

C = 1 unit/day

C = (1/8) × 1200 = Rs 150

Q4) Ram can do a work in 20 days. Ram and Shyam together do the same work in 15 days. I they are paid Rs 400 for the work, what is the share of each?Hence, option 3. 1) Rs 300, Rs 100 2) Rs 200, Rs 200 3) Rs 250, Rs 150 4) Rs 350, Rs 50 **Solution:**

Work = LCM(15, 20) = 60 units

Work done in a day: Ram = 3 units/day

Ram + Shyam = 4 units/day i.e. Shyam = 1 unit/day

Share of Ram = (3/4) × 400 = Rs 300

Share of Shyam = (1/4) × 400 = Rs 100

Hence, option 1.

### Download: Practice Questions on Work and Wages

Q5) A, B and C undertake to do a piece of work for Rs 660. A and B together do 8/11 of the work and the rest is done by C alone. How much should C get?1) Rs 160 2) Rs 200 3) Rs 190 4) Rs 180 **Solution:**

As A and B together do 8/11 of the work so, C does 3/11 of the work.

Share of C = (3/11) × 660 = Rs 180

Q6) A, B and C undertake to do a piece of work for Rs 480. A and B together do 1/4 of the work and the rest is done by C alone. How much should C get?Hence, option 4. 1) Rs 360 2) Rs 120 3) Rs 240 4) Rs 180 **Solution:**

As A and B together do 1/4 of the work so, C does 3/4 of the work.

Share of C = (3/4) × 480 = Rs 360

Q7) Wages of 20 boys for 15 days is Rs 9000. The daily wage of a man is 1.5 times that of a boy. How many men must work for 30 days to earn Rs 13500?Hence, option 1. 1) 12 men 2) 20 men 3) 16 men 4) 10 men **Solution:**

Wages of 20 boys for 15 days is Rs 9000

Wage of 1 boy for 15 days is Rs 450

Wage of 1 boy for a day is Rs 30

Wage of a man for a day is Rs 45

Wage of a man for 30 days is Rs 1350

So, 10 men earn Rs 13500 in 30 days

Q8) 4 men and 6 boys earn Rs 1600 in 5 days. 3 men and 7 boys earn Rs 1740 in 6 days. In how many days will 7 men and 6 boys earn Rs 3760.Hence, option 4. 1) 8 days 2) 10 days 3) 6 days 4) 12 days **Solution:**

Wage of a man per day = Rs m

Wage of a boy per day = Rs b

4 men and 6 boys earn Rs 1600 in 5 days i.e. Rs 320 in a day

4m + 6b = 320 i.e. 2m + 3b = 160 – eq 1

3 men and 7 boys earn Rs 1740 in 6 days i.e. Rs 290 in a day

3m + 7b = 290 – eq 2

From equation 1, 2 b = 20, m = 50

7 men and 6 boys earn 7×50 + 6×20 = Rs 470 in a day i.e. Rs 3760 in 8 days.

Q9) A, B and C together earn Rs 640 in 8 days. A and C together earn Rs 250 in 5 days. B and C together earn Rs 420 in 6 days. Find the daily earning of C.Hence, option 1. 1) Rs 60 2) Rs 40 3) Rs 80 4) Rs 50 **Solution:**

A + B + C = Rs 80/day

A + C = Rs 50/day B + C = Rs 70/day

A + C + B + C = Rs 120/day

80 + C = 120 i.e. C = Rs 40/day

Hence, option 2.

**Q10) A, B and C together earn Rs 1500 in 10 days. A and C together earn Rs 800 in 8 days. B and C together earn Rs 900 in 9 days. Find the daily earning of B.**

Guys, does anyone know the answer?