## Shortcut Tricks To Solve Problem 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 question was generally asked.

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**Trick - 1**

- If a merchant, by selling N articles, gains or loses the cost price of n articles, the gain or loss per cent is given by the

**Trick - 2**

- If an item is bought at the rate of X item for a rupee, then the number of items sold for a rupee in order to gain x% is

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

**Trick - 3**

- A shopkeeper sold an article for Rs. A after given x% discount on the labelled price and made y% profit on the cost price. Had he not given the discount, the percentage profit would have been

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

**Trick - 4**

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

$\left[
\frac{x}{100+x}\times 100 \right]%$

**Trick -**

**5**

- A businessman marks an article at Rs.A and allows x% discount . He gains y%. If the cost price of the article is Rs.B, then the selling price of the article can be calculated from the equation given

$\frac{A(100-x)}{100}=\frac{B(100+y)}{100}=selling price$

**Trick - 6**

- A dealer sells an item for Rs.A, making a profit of x%, and he sells another item at a loss of y%, and on the whole he makes neither profit nor loss, then the cost of the second table is Rs.

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

**Questions for Practice****Q1. By selling 66 metres of cloth a person gains the cost price of 22 metres. Find the gain per cent.**

Q2. If oranges are bought at the rate of 30 for a rupee, how many must be sold for a rupee in order to gain 25% ?

Q2. If oranges are bought at the rate of 30 for a rupee, how many must be sold for a rupee in order to gain 25% ?

**Q3. A shopkeeper sold an article for Rs. 400 after given 20% discount on the labelled price and made 30% profit on the cost price. What would have been the percentage profit, had he not given the discount ?**

**Q4. If a merchant estimates his loss as 10% of the selling price, what is his real loss percent ?**

**Q5. A discount of 16% on the marked price of a book enables a man to buy a pen which costs RS.80, How much did he pay for the book ?**

**Q6. A dealer sells a table for Rs.400, making a profit of 25%. He sells another table at a loss of 10 %, and on the whole he makes neither profit nor loss. What did the second table cost him ?**

__Answers__**Answer 1.**

**$33\frac{1}{3}%$**

**Answer 2. 24**

**Answer 3. 62.5%**

**Answer 4.**

**$9\frac{1}{11}%$**

**Answer 5. Rs. 420**

**Answer 6. Rs. 800**

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