## Shortcut Rules to Solve Problems on Profit and loss - 3

## 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.

**Note:**The page may takes sometime to load the Quantitative formula's. If you face any problem just comment below the posts.

Trick - 1

- If a man purchases 'x' items for Rs. 'y' and sells 'y' items Rs. 'x' then the profit or loss[depending upon the respective(+ve) or(-ve) sign in the final result] made by him is

$\frac{{{x}^{2}}-{{y}^{2}}}{{{y}^{2}}}\times
100$

Trick - 2

- If a merchant, by selling N articles ,loses the selling price of n articles, then the loss percent is

$\left[ \frac{n}{N+n}\times 100 \right]percent$

Trick - 3- If a merchant, by selling his goods, has a gain of x% of the selling price, then his real gain percent on the cost price is

$\left[ \frac{x}{100-x}\times 100 \right]percent$

Trick - 4- A person marks his goods x% above the cost price but allows y% discount for cash payment .If he sells the article for Rs. X, then the cost price is

X$\left( \frac{100}{100+x} \right)\left( \frac{100}{100-y}
\right)$

Trick - 5- By selling a certain item at the rate of ‘ X’ items a rupee, a man loses x%. If he wants to gain y%, then the number of items should be sold for a rupee is

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

Trick - 6- A dealer buys an item at x% discount on its original price. If he sells it at a y% increase on the original price , then the percent profit he gets is

$\left( \frac{y+x}{100-x} \right)\times 100$

**Questions for Practice**

**Q1. If a man purchases 11 oranges for Rs.10 and sells 10 oranges for Rs.11. How much profit or loss does he makes ?**

**Q2. By selling 66 metres of cloth, I lose the selling price of 22 metres. Find the loss percent.**

**Q3. . If a merchant estimates his profit as 20% of the selling price, what is his real profit percent?**

**Q4. Satish marks his goods 25% above the cost price but allows 12.5% discount for cash payment . If he sells the article for Rs. 875, find his cost price.**

**Q5. By selling oranges at 32 a rupee, a man loses 40%. How many for a rupee should he sell in order to gain 20%?**

**Q6. A dealer bought a horse at 20% discount on its original price.He sold in at 40% increase on the original price. What percentage profit did he get.**

__Answers__**Answer 1. 21%**

**Answer 2. 25%**

**Answer 3. 25%**

**Answer 4. Rs.800**

**Answer 5. 16**

**Answer 6. 75%**

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