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SPEEDY Railway Book (English)

Shortcut Tricks to Solve - Profit and Loss - 2


Shortcut Rules to Solve Problems on Profit and Loss - 2

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 certain article is bought at the rate of 'A' for a rupee, then to gain x% , the article must be sold at the rate of 
$\left( \frac{100}{100+x} \right)\times A$ for a rupee (remember the rule of fraction). 

Trick - 2

  • A man purchases a certain number of article at x rupee and the same number at y a rupee. He mixes them together and sells them at z a rupee. Then , his gain or loss % 
$=\left[ \frac{2xy}{z(x+y)}-1 \right]\times 100$  according as the sign is +ve or -ve. 

Trick - 3

  • A man buys n items of A and m items of B  for Rs. P, and sells the items of A at a profit of x% and the items of B at a profit of y%, and his whole gain is Rs. X, then the price he pays for
(1) one item of A is $\left[ \frac{100X-Py}{n(x-y)} \right]$ 

(2) one item of B is $\left[ \frac{Px-100X}{m(x-y)} \right]$ 

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

Trick - 4

  • An article is sold at P% profit. If its cost price and selling price are increased by Rs. C and Rs. S respectively and percentage profit decreases by p%, then the cost price of that article is

$\left[ \frac{c(P-p)-100(s-c)}{p} \right]$

Trick - 5

  • A dealer sells an article at a profit of x%. If he reduces the price by Rs.X, he makes a profit of y%, then the cost price and the initial selling price of the article are Rs. $\left[ \frac{100X}{x-y} \right]$ and Rs. $\left[ \frac{(100+x)X}{x-y} \right]$ respectively.

Trick - 6

  • If x part is sold at m% loss and the other rest part y is sold at n% profit and Rs. P is overall loss, then the value of total consignment is Rs. 

$\left( \frac{P\times 100}{xm-yn} \right)$

Questions for Practice

Q1.  If toffees are bought at the rate of 25 for a rupee, how many must be sold for a rupee so as to gain 25%

Q2. A man purchases a certain number of mangoes at 3 per rupee and the same number at 4 per rupee. He mixes them together and sells them at 3 per rupee. What is the gain or loss %.   

Q3. A man buys 5 horses and 7 oxen for Rs. 5850. He sells the horses  at a profit of 10% and the oxen at a profit of 16%, and his whole gain is Rs. 711. What price does he pay for a horse and a ox ?

Q4. An article is sold at 25% profit. If its cost price and selling price are increased by Rs. 20 and Rs. 4 respectively, the percentage profit decreases by 15%. Find  the cost price.

Q5. A hawker sells oranges at a profit of 40%. If he reduces the selling price of each orange by30 paise, he earns a profit of 25%. Find the cost price and the initial selling price of each orange.

Q6. $\frac{2}{3}$ of a consignment was sold at 6% loss and the rest at a profit of 3%. If there was an overall loss of Rs.540, find the value of the consignment.


Answer 1. 20                                  
Answer 2. $14\frac{2}{7}%$ 
Answer 3.  Price of horse = Rs. 750 and Price of Ox = Rs. 300
Answer 4. Rs. 120
Answer 5. 280 paise
Answer 6. Rs. 18000
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