## Shortcut Rules to Solve Problems on Work And Wages

## Effective for IBPS PO - SBI PO Exam

**Dear Reader,**

Here we will start a series of Quantitative Aptitude Shortcut Tricks for your upcoming SBI - IBPS - SSC and Other Government Competitive Exams. We will try to cover up all topics of the quantitative Aptitude Sections from which question was generally asked.

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**Trick - 1**

- A can do a work in x days and B can do the same work in y days. If the contract for the work is Rs.X, and both of them work together, then the share of A and B is given by

**Trick - 2**

- A,B and C can do a work in x,y and z days respectively. If doing that work together they get an amount of Rs. X, then the

Share of A = Rs.$\left(
\frac{Xyz}{xy+xz+yz} \right),$

Share of B = Rs.$\left(
\frac{Xxz}{xy+xz+yz} \right)$ and

Share of C = Rs.$\left(
\frac{Xxy}{xy+xz+yz} \right)$ and ratio of their shares is given by A:B:C=yz:xz:xy

**Trick - 3**

- A person A can do a work in x days. With the help of a another person B , he can do the same work in y days. If they get Rs. X for that work, then the share of A and B is given by Rs.$\left[ \frac{Xy}{x} \right]$ and $Rs.\left[ \frac{X\left( x-y \right)}{x} \right]$ respectively

**Trick - 4**

- A, B and C contract a work for Rs.X. If together A and B are supposed to do $\frac{x}{y}$ of the work, then the share of C is given by

$Rs.\left[
X\left( 1-\frac{x}{y} \right) \right]$

**Trick -5**

- x1 men and y1 boys can earn Rs. X1 in d1 days, if x2 men and y2 boys can earn Rs.X2 in d2 days, then the following relationship is obtained, $\frac{men}{boys}=\left[ \frac{{{X}_{1}}{{y}_{2}}{{d}_{2}}-{{X}_{2}}{{y}_{1}}{{d}_{1}}}{{{X}_{2}}{{x}_{1}}{{d}_{1}}-{{X}_{1}}{{x}_{2}}{{d}_{2}}} \right]$

**Trick -6**

- A and B undertake to do a work for Rs.X. A can do it alone in x days and B in y days. If with the assistance of a boy they finish the work in 'd' days, then the share that A gets is Rs.$\left( \frac{dX}{x} \right)$ , B gets is Rs.$\left( \frac{dX}{y} \right)$ and the Boy gets is Rs.$X\left[ 1-\left( \frac{x+y}{xy} \right)d \right]$ And the ratio of shares is given by A:B;Boy = dy:dx:xy - d (x+y)

**Questions for Practice**

**Q1. A can do a work in 6 days and B can do the same work in 5 days. The contract for the work is Rs.220. How much shall B get if both of them work together?**

Q2. A,B and C can do a work in 6,8 and 12 days respectively. Doing that work together they get an amount of Rs.1350. What is the share of B in that amount ?

Q2. A,B and C can do a work in 6,8 and 12 days respectively. Doing that work together they get an amount of Rs.1350. What is the share of B in that amount ?

**Q3. A man can do a work in 10 days. With the help of a boy, he can do the same work in 6 days. If they get Rs.50 for that work, what is the share of that boy ?**

Q4. A, B and C contract a work for Rs.550.Together A and B are supposed to do $\frac{7}{11}$ of the work. How much does C get ?

Q4. A, B and C contract a work for Rs.550.Together A and B are supposed to do $\frac{7}{11}$ of the work. How much does C get ?

Q5. 3 men and 4 boys can earn Rs.756 in 7 days. 11 men and 13 boys can earn Rs.3008 in 8 days, In what time will 7 men with 9 boys earn Rs.2480 ?

Q5. 3 men and 4 boys can earn Rs.756 in 7 days. 11 men and 13 boys can earn Rs.3008 in 8 days, In what time will 7 men with 9 boys earn Rs.2480 ?

**Q6. A and B undertake to do a work for Rs.56. A can do it alone in 7 days and B in 8 days. If with the assistance of a boy they finish the work in 3 days, then the Boy gets Rs....**

__Answers__

**Answer 1. Rs.120**

**Answer 2. Rs.450**

**Answer 3. Rs.20**

**Answer 4. Rs.200**

**Answer 5. 10 days**

**Answer 6. Rs.11**

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