Shortcut tricks on WORK AND WAGES

Fast Track Formulae to solve the QUESTIONS on Work and Wages

1.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
    A's wages = {Total wages /(x + y)} × y
    B's wages = { Total wages / ( x + y)} × x

Q.Akansha can do a piece of work in 6 days, while Vasudha can do the same work in 5 days. If the total amount to be given for this work is 660, then what will be the share of Vasudha, if both work together.
Solution
Time taken by Akansha = 6 days
Therefore 1 days work = 1 / 6
 And
Time taken by Vasudha = 5 days
Therefore 1 days work = 1 / 5

Total amount earned = 660
Ratio of their incomes = 1 / 5 : 1 / 5 = 5 : 6
Therefore
 Vasudha's share ={660 / (5 + 6)} × 6
                            = 360

2. A can do a piece of work in x days. With the help of B, A can do the same work in y days. If they get a for that work, then
Share of A = ay / x
Share of B = a ( x - y) / x

Q. Suresh can do a work in 20 days. Suresh and Surendra together do the same work in 15 days. If they got 400 for that work, then find the share of Suresh and Surendra?
Solution
Here x = 20, y = 15, a = 400
Now, according to the formula
Share of Suresh = ay / x
                           = 400 × 15 / 20
                           = 300
Share of Surendra = a ( x - y) / x
                            = 400 ( 20 - 15) / 20
                            = 100


3. X, Y and Z undertake to do a work for R. If together they do only m/n of the work and rest is done by C alone, then the share of C is given by
                R ( 1 - m / n)

Q. A, B and C undertake to do a work for 480. A and B together do 1/4 of the work and rest is done by the C alone. How much should C get?
Solution
Here R = 480, m = 1, n = 4
Now according to the formula
Share of C = R ( 1 - m / n)
                  = 480 ( 1 - 1 / 4)
                  = 360

Q. 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?
Solution
Shantanu's 1 day's work = 1 / 12
Manu's 1 day's work = 1/10
Shantanu's share : Manu's share
        = 1/12 : 1/10
        = 10 : 12
        = 5 : 6

Q. 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 shares of both the persons.
Solution
Ratio of wages of A and B = 10 : 8
A's wages = { A / (A + B)} × total wages
                 = {10 / (10 + 8)} × 900
                 = 500
Similarly
B's wages = { 8 / (10 + 8)} × 900
                 = 400

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