## Shortcut Rules to Solve Problems on Profit and Loss

### 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 questions was generally asked.

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**Trick - 1**

- A sells a goods to B at a loss of x% and B sells it to C at a loss y%.If C pays Rs.X for it,then the price at which A buys is Rs.

**Trick - 2**

- When there are two successive loss of X% and Y%,then the resultant loss percent is given by

$\left[ x+y-\frac{xy}{100} \right]$

**Trick - 3**

- A sells a goods to B at a profit of X% and B sells it to C at a loss of Y%. If C pays Rs. X for it,then the price at which A buys is Rs.

\[\left[ \frac{{{100}^{2}}X}{(100+x)(100-y)} \right]\]

**Trick - 4**

- If a person sells a goods at a loss of X%. Had he been able to sell it at a gain of Y%, it would have fetched Rs.X more than it did, then the cost price is given by Rs.

$\begin{align}
& \frac{x}{x+y}\times 100 \\
& \\
\end{align}$

**Trick -5**

- A sells a goods to B at a profit of x% and B sells it to C at a profit of y%. If C pays Rs.X for it,then the cost price for A is Rs.

\[\left[ \frac{{{100}^{2}}X}{(100+x)(100+y)} \right]\]

**Trick -6**

- When there are two successive profits of X% and Y%, then the resultant profit percent is given by

$\left[ x+y+\frac{xy}{100} \right]$

__Questions For Parctice__**Q1. A sells a horse to B at a loss of 20% and B sells it to C at a loss of 25%. If c pays Rs.900 for it,at what price did a buys ?**

**Q2. A sells a goods to B at a loss of 20% and B sells it to C at a loss of 25%. Find the resultant loss percent ?**

**Q3. A sells a bicycle to B at a profit of 30%, and B sells it to C at a loss of 20%. If C pays Rs. 520 for it, at what price did A buy ?**

**Q4. A man sold a horse at a loss of 7%. Had he been able to sell it at a gain of 9%, it would have fetched Rs. 64 more than it did. What was the cost price ?**

**Q5. A sells a good to B at a profit of 20% and B sells it to C at a profit of 25%. If C pays Rs.225 for it, what was the cost price for A ?**

**Q6. A sells a bicycle to B at a profit of 20% and B sells it to C at a profit of 25%. Find the resultant profit percent ?**

__Answers__**Answer 1. Rs.1500**

**Answer 2. 40%**

**Answer 3. Rs. 500**

**Answer 4. Rs. 400**

**Answer 5. Rs. 1500**

**Answer 6. 50%**

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