## Profit and Loss Example

We can find the cost Price of an article using this Formula we are follow some important facts and formula without this we are not able to calculate any Loss percent of any articles using shortcut tricks.

when we purchase some item and then sell it we make profit or loss some time it depends on the cost price and selling price of an particular item. This type of problem are given in Quantitative Aptitude which is a very essential paper in banking exam. Under below given some more example for your better practice.

**Example 1 :**

If the C.P is 75% of the selling price, then What is the profit percent ?

**Answer :**

Let S.P = Rs 100,

Then C.P = 75

Profit = Rs 25

Profit% = ?

= 25x 100 / 75

= 100 / 3 = 33.3

**Profit % = 33.3**

**Example 2 :**

Find the single discount equivalent to a series discount of 30%, 20% and 10%.

**Answer :**

Let price be Rs. 100.

Then Net S.P = ( 90 x 80 x 70 / 100 x 100 x 100 ) x 100

= 36 x 7 / 5

= 252 / 5

= 50.4

**Required Discount is = ( 100 – 50.4 ) = 49.6**

**Example 3 :**

A Farmer purchased a cow and carriage for Rs. 3500. He sold the cow at a gain of 35% and the carriage at loss of 10%, So gaining 2% on the entire. Find the cost of the cow.

**Answer :**

We consider C.P of the cow Rs. x

Then C.P of the Carriage Rs. ( 3500 – x )

So,

35% of x – 10% of ( 3500 – x ) = 2% of 3500

( 35x / 100 ) – 10( 3500 – x ) / 100 = 2 x 3500 / 100

( 7x / 20 ) – ( 3500 – x ) / 10 = 70

7x – 2x 7000 = 1400

5x = 5600

x = 5600 / 5

**x = 1400.**

the cost of the cow is 1400.

**Example 4:**

If the cost price of 14 pens is equal to the selling price of 8 pens, the gain percent is :

**Answer :**

Let C.P of each pen is Rs. 1.Then

C.P of 8 pens = Rs. 8 : S.P price of 8 pens = Rs. 14

Gain % = 6 x 100 / 8 = 75%

the gain percent is 75%.

**Example 5 :**

The Profit gained by selling an item for Rs.630 is equal to the loss incurred if the same article is sold for Rs. 370. To gain 50% profit what would be the sale price ?

**Answer:**

Let C.P price be x

Then

630 – x = x – 370

2x =1000

x = 500

Required S.P = 150% of 500

= 150 x 500 / 100

= 750

the sale price for making 50% profit is 750.