# Quantitative Aptitude Shortcut Tricks - 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 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
$\left[ \frac{n}{N}\times 100 \right]%$

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% ?

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 ?

Answer 1. $33\frac{1}{3}%$
Answer 4. $9\frac{1}{11}%$