Profit and Loss formula and tricks:- Selling and buying something like any object it is nature of menâ€™s. But taking profit it get something loss. But how we find out profit and loss. We will cover with some solved questions for students.

**Cost price or Purchase Price**

When we buy any product then it is called Cost price or purchase price of this product. For Example: – Mohan bought a pen worth Rs.20, and then the cost price of this pen is Rs.20.

**Sales price or Selling Price**

When we sale or sales by anyone it is called sales price of that product. For Example- Mohan sold his pen Rs.25 rupees, therefore the selling price of this pen will be Rs.25.

**Profit or Gain**

If the selling price of any product is more than the purchase price then there is profit. For Example:- Mohan bought a pen worth Rs.20 rupees and sold this pen is Rs.25, here he get profit .

**Loss**

If selling any product get loss or if the selling price is less than the purchase price then this position is get loss. For Example:- If Rajesh bought a pen worth Rs.20 and sales to anyone Rs.15 then he get loss.

Loss = Cost Price – Sales Price

__Percentage: Profit and Loss__

The meaning of percentage is 100. The meaning of percentage profit and loss is how much profit or loss i made in 100 rupees.

Profit% = profit x 100/CP (Here CP is Cost Price)

Loss% = Loss X 100/CP

__Overhead __

It is expense, when we buy any product then we pay tax or commission and transportation it is overhead expense. These expenses added in Cost price.

__Discount or Rebate__

Discount is remains written with products-price, and given to customers,

Cash Discount:- is given on Cash purchase. Trade Discount: is offered to increase the sales.

## Profit and Loss formula and tricks

Profit & Loss Solved Exaples

**Question 1: **Cost price of a book is Rs.110 and sold it Rs.123.20 then finds the gain or loss?

**Solve:-**

Gain = SP – CP = 123.20 – 110 = 13.20

Gain% = Profit x 100/CP = 13.20 x 100/110 = 12%

**Question 2**: A pen is bought Rs.1960 and sold it Rs.1862. Find out the loss percentage?

**Solve:-**

Loss = CP – SP = 1960 – 1862 = 98

==>% Loss = 98 x 100/1960 = 5%

**Question 3:** The purchase price of 15 articles is equal to the selling price of 12 articles, then find out the profit percentage?

**Solution:**

We have,

SP = 15, CP = 12

Gain = SP- CP = 15 – 12 = 3

Gain% = 3 x 100/12 = 25%

**Question 4**: A fruit-seller bought 6 bananas in Rs.15 and sold it 4 bananas in Rs.12. Find the profit and loss percentage?

**Solution:**

Cp of 6 bananas = 15 ==> 1 banana CP = 15/6 = 2.50

Sp of 4 bananas = 12 ==> 1 banana SP= 12/4 = 3

Gain = 3.00 – 2.50 = 0.50

% Gain = 0.50 x 100/2.50 = 20%

**Question 5**: Aditya sold a cow Rs.525 and get profit 5% then find the cost price of that cow?

**Solution:-**

CP = 100×525/105 =500

**Question 6**: After selling a chair Rs.873 get loss 10%, then find the cost price of the dealer?

**Solution**:-

CP = 100 x 873/90 = 970

**Question 7**: After selling a watch Rs.2880 a man get 10% loss. If he wants to get 5% profit then find the selling price of this watch?

**Solution:-**

CP = 100 x 2880/90 = 3200 if 5% profit then

SP = 105 x 3200/100 = 3360

**Question 8**: If an item is sold 10% profit instead of 5% loss , then dealer get Rs.75 more. Find the cost price of this item?

**Solution:-**

Let the CP of this article is x

==>110x/100 – 95x/100 = 75

==> 110x – 95x /100 = 75

==> 15x = 7500

==> x = 7500/15 = 500

**Question 9**: One man sold two horses on Rs.32500 on each. If he get 15% profit of one horse and other 15% loss then find out the total profit and loss?

**Solution:- **

Loss% = (15/10)2% = 2.25%

**Profit & Loss Selected Objective Questions**

** ****Question 10**: A dishonest shopkeeper declare sells any items in cost prise, but he use 900 gram weight instead of 1 kilogram. Find out his profit %.

**Solution**:

Profit% = {Error X 100/accurate Wt-Error}% = { 100 x 100/(1000-100)}%

==> [100 x 100/900} = 100/9

**Question 11**: A shopkeeper give discount 10% on printed value on an item, but getting 8% profit what is cost price of that item?

**Solution:-**

Let the cost price is = 100, SP = 108 and let the printed value is x

==> x x 90% = 108

==> 90x = 108 x 100 = 10800

==> x = 10800/90 = 120 , means 20% more

**Question 12**: Three respective equivalent discounts are 20%, 10% and 5% and find the discount?

**Solution:-**

Le to be the print value of product is Rs.100

==> SP= 100 x 80% x 90% x95%= {100 x 80/100 x 90/100 x 95/100}

==> 68.40

==> Equivalent discount = 100 – 68.40 = 31.6%

**Question 13**: Minal bought a car Rs.250000 and sold it Rs.348000, then find the Percentage gain of this Car?

(a) 40% (b) **39.2%** (c) 38.4% (d) 38% (e) None of these.

**Question 14**: one trader buys some eggs from Rs.P every dozen and sold it Rs.P/8 each egg. Then find out his profit percentage?

(a) 30% (b) 40% (c) 50% (d) 60%

**Question 15**: One man sold a book worth Rs.891 and get profit 1/10, then what is cost price of this book?

(a) 850 (b) 800 (c) 810 (d) None of these

**Question 16**: One trader bought a rice of 26 kilograms in Rs.2470, and he sold 10 kilogram rice Rs.110 per kilograms. At what rate will he sell the remaining rice to earn a profit of Rs.70?

(a) 90 (b) 95 (c) 85 (d) 75 (e) None of these.

**Profit and Loss basic questions**

**Question 17**: Rajesh buy a cooler for Rs.4700 and spends Rs.800 for repairs on it and sell it or Rs.5800. Then find the gain in percentage?

(a) 20% (b) 60/11% (c) 15% (d) 20%

**Question 18**: A Man sold an item in Rs. 6759 and loss 25%. If he sold at 15% profit then find out the selling price of that item?

(a) 10530 (b) 9950 (c) 10350 (d) 11340 (e) None of these

**Question 19**: Sohan bought a pen worth Rs.75 and sold after time it Rs.90. Then find out his profit?

**Solution:**

==>CP = 75, SP = 90, Gain = SP – CP = 90 – 75 = 15

**Question 20**: In summer season archana buy a refrigerator in Rs.4000 and it sold it after end of season Rs.3500. Then find the loss?

**Solution:- **

==> CP= 4000, SP=3500,

Loss= CP-SP = 4000-3500 = 500

- Read also:- Linear Equation with solved question paper.

**Question 21**: Mohini bought an air cooler in Rs.5000 and sold it after 6 months in RS.4000, then find his profit and loss percentage?

**Solution:-**

Loss = 5000 – 4000 = 1000

==>% Loss = 1000 x 100/5000 = 20%

Question 22: Hari buy a cycle for Rs.1400 and sells it at a loss of 15%. Find the selling price of this cycle?

Solution:-

S.P. = 85% of Rs. 1400 = Rs. | 85 | x 1400 | = Rs. 1190 | ||

100 |