Finding Profit or Loss

Finding Profit or Loss – Basic Concept, Formulas, Tricks, Examples | Profit and Loss Problems with Solutions PDF

Profit and loss are one we see in our daily life when we go shopping. It is to determine the price of goods or products in the market and understand how profitable or lost a business is. As we discussed in the previous topics, a product has cost price and selling price. There are some important terms for finding profit or loss they are cost price, selling price, list price, fixed price, margin, etc.

We can find the profit or loss of a product with the help of the formula using cost price and selling price. Build your self-confidence by solving the questions given in the below section. If you solve those questions you can be sure about solving any type of question on finding loss or profit.

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Basic Concepts of Profit or Loss

Profit: The price gained by selling a good or profit with more than its cost price is known as profit.
Loss: The price the seller obtained after selling the goods with less than the cost price is known as loss.
Selling Price: The amount for the product which is sold by the seller is known as the selling price. It is denoted by S.P.
Cost Price: The amount paid for the raw material and product to purchase is known as the cost price. It is denoted by C.P.

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Profit and Loss Formula

  • When the selling price is greater than the cost price then
    Profit = selling price – cost price
  • When the selling price is less than the cost price
    Loss = cost price – selling price
  • Percentage Profit(%) = Profit/Cost Price × 100
  • Percentage Loss(%) = Loss/Cost Price × 100

Profit and Loss Questions with Solutions

The students of 5th grade can make their preparation easy by practicing the question and answers on finding profit or loss. This will help you to score good marks in the exams.

Example 1.
If Riya buys paddy at Rs. 287 per kg and she sells it at Rs. 300 per kg she makes a profit or loss?
Solution:
Riya buys a paddy ( cost price ) = Rs. 287
She sells at ( selling price ) = Rs. 300
Here selling price is greater than cost price
So, profit = selling price – cost price
300 – 287 = 13
Profit = Rs. 13
Thus the profit is Rs. 13

Example 2.
Rao buys carrots from the former for Rs. 180 and for cleaning purposes he spent Rs. 20 and for packing he sent Rs. 20 and he sold it for Rs. 200. Find that he have a profit or loss?
Solution:
Given,
Rao buys carrots from the former = Rs. 180
Rao used for cleaning purposes = Rs. 20
He spent for packing purposes = Rs. 20
Total money he spent to buy a carrots = 180 + 20 + 20 = 220
He sold for = 200
Here selling price is less than the cost price
Loss = cp – sp
220 – 200 = 20
Loss = 20
Therefore Rao has a loss of Rs. 20

Example 3.
If Sita buys a bar of gold at $840 per gram and she sells it at $984 per gram she makes a profit or loss?
Solution:
Given,
Sita buy a gold = $840
She sells it = $984
Here selling price is greater than the cost price.
Profit = sp – cp
$984 – $840 = $144
Profit = $144
Therefore Sita has a profit of $144.

Example 4.
If Milky buys a cycle for $28000 and she sold at $25000 she makes a profit or loss?
Solution:
Given,
Milky buy a cycle = $28000
She sold = $25000
Here selling price is less than the cost price
Loss = cp – sp
28000 – 25000 = 3000
Loss = $3000
Thus Milky makes a loss of $3000 on cycle.

Example 5.
Roman buy a ticket at a cost of $68 and he sold it for $72 that he makes a profit or loss?
Solution:
Given,
Roman buy a ticket at a cost = $68
Roman sold a ticket at a cost = $72
Here selling price is greater than the cost price
So, profit = sp – cp
72 – 68 = 4
Profit = 4
Thus Roman makes a profit of $4.

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Points to Remember:

  • For Loss, the C.P should be more than the S.P.
  • For Profit, the C.P should be less than the S.P.
  • The percentage value for profit and loss is calculated in terms of C.P.

FAQs on Profit Loss Formula

1. What is the profit and loss percentage formula?

The formula for profit percentage is P% = profit/C.P × 100
The formula for loss percentage is L% = loss/C.P × 100

2. What is the Selling Price Formula?

Selling Price = Cost Price + Profit

3. What is Profit Loss Formula?

The formula which is used to find the profit loss is
Profit = Selling Price – Cost price
Loss = Cost Price – Selling Price

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