## Profit & Loss Concepts for SSC And Railway Exam:

Quantitative Aptitude is an equally important section for SSC CGL, CHSL, MTS exams and has an even more abundant importance in some other exams conducted by SSC. Generally, there are questions asked related to basic concepts and formulas of Profit & Loss.

To let you make the most of QUANT section, we are providing important facts related to Profit & Loss. Also, Railway Exam is nearby with bunches of posts for the interested candidates in which quantitative aptitude is a major part. We have covered important notes and questions focusing on these prestigious exams. We wish you all the best of luck to come over the fear of Mathematics section.

Profit & Loss

1. Gain percent

Gain % = (Gain × 100)/(C.P.)
Loss percent

Loss% = (Loss × 100)/(C.P.)

2. When the selling price and gain percent are given:

C.P.= (100/(100+Gain%))×S.P.

3. When the cost and gain percent are given:

S.P=((100+Gain%)/100)×C.P.

4. When the cost and loss percent are given:

S.P.=((100-Loss%)/100)×C.P

5. When the selling price and loss percent are given.

C.P=(100/(100-Loss%))×S.P

6. If a man buys x items for Rs. y and sells z items for Rs. w, then the gain or loss percent made by him is

(xw/zy-1)×100%

7. If the cost price of m articles is equal to the selling price of n articles, then % gain or loss

= ((m - n)/n) × 100
[If m > n, it is % gain and if m < n, it is % loss]

8. If an article is sold at a price S.P.₁, then % gain or % loss is x and if it is sold at a price S.P.₂, then % gain or % loss is y. If the cost price of the article is C.P., then

(S.P₁)/(100+x)=(S.P₂)/(100+y)=(C.P.)/100=(S.P_1-S.P_2)/(x-y)
Where x or y is –ve, if it indicates a loss, otherwise it is +ve.

9. If ‘A’ sells an article to ‘B’ at a gain/loss of m% and ‘B’ sells it to ‘C’ at a gain/loss of n% If ‘C’ pays Rs. z for it to ‘B’ then the cost price for ‘A’ is

where m or n is –ve, it indicates a loss, otherwise, it is +ve.

10. If ‘A’ sells an article to ‘B’ at a gain/loss of m% and ‘B’ sells it to ‘C’ at a gain/loss of n%, then the resultant profit/loss percent is given by

(m+n+mn/100)
where m or n is –ve, if it indicates a loss, otherwise it is +ve.

11. When two different articles are sold at the same selling price, getting gain/loss of x% on the first and gain/loss of y% on the second, then the overall% gain or % loss in the transaction is given by

The above expression represents overall gain or loss accordingly as its sign is +ve or –ve.

12. When two different articles are sold at the same selling price getting a gain of x% on the first and loss of x% on the second, then the overall% loss in the transaction is given by

(x/10)² %
Note that in such questions there is always a loss.

13. A merchant uses faulty measure and sells his goods at gain/loss of x%. The overall % gain/loss(g) is given by

(100+g)/(100+x)=(True measure)/(Faulty measure)
Note: If the merchant sells his goods at cost price, then x = 0.

14. A merchant uses y% less weight/length and sells his goods at gain/loss of x%. The overall % gain/loss is given by

[((y+x)/(100-y))×100]%

15. A person buys two items for Rs. A and sells one at a loss of l% and other at a gain of g%. If each item was sold at the same price, then

(a) The cost price of the item sold at loss

(b) The cost price of the item sold at gain

16. If two successive discounts on an article are m% and n%, respectively, then a single discount equivalent to the two successive discounts will be

(m+n-mn/100)%

17. If three successive discounts on an article are l%, m% and n%, respectively, then a single discount equivalent to the three successive discounts will be

18. A shopkeeper sells an item at Rs. z after giving a discount of d% on labeled price. Had he not given the discount, he would have earned a profit of p% on the cost price.
The cost price of each item is given by

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