## FORMULAS:1) Total Wage = Total number of days × Wage of 1 day of a personExample: If Arjun's monthly wage is Rs 4200 and he worked for 30 days, then his daily wage is calculated
as4200 = 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 Hence, option 1. 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 is1) 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 Hence, option 1. 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.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 Hence, option 3. 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?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 WagesQ5) 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 Hence, option 4. 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?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 Hence, option 1. 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?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 Hence, option 4. 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 3760.1) 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. Hence, option 1. 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.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.1) Rs 60 2) Rs 50 3) Rs 30 4) Rs 40 Solution: A + B + C = Rs 150/day A + C = Rs 100/day B + C = Rs 100/day A + C + B + C = Rs 200/day 150 + C = 200 i.e. C = Rs 50/day Hence, option 2. Q11) 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 Rs 5400. They began the work together but B left 2 days before the completion of work and C left 5 days
before the completion of the work. The share of A from the assured money is1) Rs 2700 2) Rs 540 3) Rs 1800 4) Rs 600 Solution: Work = LCM(20, 24, 30) = 120 units Work done in a day: A = 6 units/day, B = 5 units/day, C = 4 units/day Work is completed in 'n' days. 6n + 5(n - 2) + 4(n - 5) = 120 i.e. n = 10 Work done by A = 6n = 6×10 = 60 units Share of A = (60/120) × 5400 = Rs 2700 Hence, option 1. Q12) 2 men and 1 woman can do 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 Rs 90 per day, what should be the wages per day of a women?1) Rs 48 2) Rs 60 3) Rs 72 4) Rs 135 Solution: Work done by a man in a day = m units Work done by a women in a day = w units As 2 men and 1 woman can do a piece of work in 14 days so, Work = (2m + w)×14 As 2 men and 4 women can do a piece of work in 8 days so, Work = (2m + 4w)×8 (2m + 4w)×8 = (2m + w)×14 3w = 2m w = (2/3)m As work done by a women in a day is 2/3 rd of the work done by a man in a day so, wage per day of a women is (2/3)×90 = Rs 60 Hence, option 2. |