If the selling price of a airpod is 73% of the cost price, then find the loss %.

To calculate the Loss we need to know “What is Loss?” When we sold an item or a product less than it’s actual price, then Loss occurs which means the product is sold for a low price than the actual price. Now coming to the formula to calculate Loss we have
Loss(L)= Cost Price (CP) – Selling Price(SP)

Here we can see the new terms “Selling price” and “Actual Price” or “Cost Price.” Let us discuss what they refer to.
Selling Price: The price of the product which was sold by the shopkeeper to the customer for a certain price is known as the selling price. Selling Price can also be written as SP. To calculate the Selling Price, we have a formula i.e.

Selling Price(SP)= Cost Price(CP) – Loss(L)

Cost Price: It is also called Actual Price, which means the actual cost of a product or original cost of a product or an item that was bought from the merchant or retailer. To calculate Cost Price, we have a formula i.e,
Cost Price(CP)= Selling Price(SP) + Loss(L)
In the above, we have discussed the related terms. Let’s discuss more about Loss with some examples covering every detail.

Solved Examples on Loss

1. Find the Loss if
a) SP= 80 and CP= 100
b) SP= 120 and CP= 150
c) SP= 200 and CP= 300

Solution:

a) SP= 80 and CP= 100

We know the formula to calculate the Loss as below
Loss(L)= Cost price (CP) – Selling price(SP).
Substituting the input data in the formula and doing basic math we get
= 100- 80
= 20
Loss= 20.

b) SP= 120 and CP= 150

Formula to calculate the Loss is as under
Loss(L)= Cost price (CP) – Selling price(SP).
Apply the input data you have in the formula and perform basic math
= 150-120
= 30
Loss= 30.

c) SP= 200 and CP= 300

Formula to calculate the Loss is as below
Loss(L)= Cost price (CP) – Selling price(SP).
Substitute the input information we have to find out the Loss
= 300- 200
= 100
Loss= 100.

2. A shopkeeper bought 5 dozens bananas for Rs 300 and sold them at Rs 250. How much he loses?

Solution:
The cost price of bananas= Rs 300
The selling price of bananas= Rs 250
Formula for Loss(L)= Cost Price (CP) – Selling Price(SP).
= Rs 300- Rs 250
= Rs 50.
Loss= Rs 50.

How to Calculate the Loss Percent?

Loss percent is the percent which is expressed as the percentage of the cost price. The formula of Loss Percent is
Loss %= (Loss/ Cost Price)×100. Cost Price is always considered for reference to determine whether you got Loss or Profit. We have listed few examples explaining the process on how to find the Loss Percentage. They are as such

1. Find Loss % if
a) SP= 80 and CP= 100
b) SP= 120 and CP= 150
c) SP= 200 and CP= 300

Solution:

a) SP= 80 and CP= 100
Formula to calculate the Loss(L)= Cost price (CP) – Selling price(SP).
= 100- 80
= 20
Loss= 20.
After finding the Loss we can determine the Loss % easily
Loss %= (Loss/ Cost Price)×100.
= (20/100) × 100
= 20%

b) SP= 120 and CP= 150
Formula to calculate the Loss(L)= Cost price (CP) – Selling price(SP).
= 150-120
= 30
Loss= 30.
Substitute the Loss value in th Loss % formula we have the equation as such
Loss%= (Loss/ Cost price)×100.
= (30/150)×100
= (1/5)×100
= 20%

c) SP= 100 and CP= 200

Apply the given input data in the formula for
Loss(L)= Cost price (CP) – Selling price(SP).
= 200- 100
= 100
Loss = 100.
Substitute the Loss in the Loss % we have the equation as such
Loss %= (Loss/ Cost Price)×100.
= (100/200)×100
= (1/2)×100
= 50.

2. A man purchased a scooter for Rs 50,000 and after two years he sold it for Rs 30,000. Find Loss and Loss percent.

Solution:

The cost price of a scooter = Rs 50,000
The selling price of a scooter= Rs 30,000
Loss(L)= Cost price (CP) – Selling Price(SP).
Substitute the input values in the formula of Loss we have
= Rs 50,000 – Rs 30,000
= Rs 20,000.

Apply the Loss in the Loss Formula we have
Loss %= (Loss/ Cost price)×100.
= (20,000/50,000)×100
= (2/5)×100
= 2×20
= 40%.

In Maths, Loss percentage formula is the formula to calculate the percentage loss happened in any business. We also state it as percentage loss. Loss is defined as the difference between the cost price and the selling price. And the percentage loss is the per cent of loss in terms of actual cost price. In businesses, profit and loss are the common terms which are used. Profit is basically the amount gained by businessmen in a business. Before, getting ahead to know the formula for percentage loss, let us know first the formula of Loss.

Loss = Cost Price – Selling Price

or

Loss = C.P. – S.P.                               (C.P.>S.P.)

Where C.P. is the actual price of the product or commodity and S.P. is the sale price at which the product has been sold to the customer.

If the cost price is more than the selling price of a product in a business, it is called a loss, whereas if the cost price is less than the selling price then profit is gained.

Since, Loss =  C.P. – S.P.                 (CP > SP)

The formula for loss percentage is given by;

Loss percentage = (Loss × 100) / C.P

Note:

Sometimes they give a loss percentage to find the cost price and selling price. From C.P and S.P, we can calculate profit and loss.

• Loss = cost price- selling price
• Selling Price is denoted by S.P and cost Price is denoted by C.P

Also, read:

• Profit
• Profit and Loss Formula
• Profit Loss Percentage
• Markup

Examples

Q.1: Find the loss and loss percentage provided that the cost price is Rs. 50 and the selling price is Rs. 45.

Solution:

Given: Cost Price, C.P = Rs. 50

Selling Price, S. P = Rs. 45.

We know that the formula to find loss is

Loss = cost price- selling price

Loss = 50 – 45 = 5

Therefore, the loss is Rs. 5.

The formula to find loss percentage is

Loss percentage = (Loss × 100) / C.P

Loss % = (5 × 100) / 50

Loss % = 500 / 50

Loss % = 10

Therefore, the loss percentage is 10%.

Q.2: If a house was bought by a man for Rupees 50 Lakhs and he sold it in 45 Lakhs. what is a gain percentage from this business?

Solution: Cost Price = Rs. 5000000

Selling Price = Rs. 4500000

Since the cost price is more than the selling price, therefore, the person has gained a loss here.

Loss = Rs. 5000000 – Rs.4500000 = Rs. 500000

Hence, the man had a loss of five lakh rupees here. Now to calculate its percentage, we have the formula:

Loss percentage = (Loss x 100) / CP

Loss % = (500000 x 100)/5000000 = 10%

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