# Shortcut Tricks to Solve - Profit and Loss - 1

## Shortcut Rules to Solve Problems on Profit and Loss

### Effective for IBPS PO - SBI PO Exam

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

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 ?