Answer

Verified

482.7k+ views

Hint: In this question the percentage of loss can be calculated as \[{\text{Loss% = 100}} \times \dfrac{{{\text{Loss}}}}{{{\text{CP}}}}\]. The vendor gets loss when the cost price is greater than selling price. So, use this concept to reach the solution to the question.

Complete step-by-step answer:

Let selling price of 1 lemon = x

So, selling price (SP) of 45 lemons = 45 x

Given loss = selling price of 3 lemons = 3 x

We know that cost price (CP) = selling price (SP) + loss

= 45 x + 3 x

= 48 x

Consider, \[{\text{Loss% = 100}} \times \dfrac{{{\text{Loss}}}}{{{\text{CP}}}}\]

\[

{\text{Loss% = 100}} \times \dfrac{{3x}}{{48x}} \\

{\text{Loss% = 100}} \times \dfrac{1}{{16}} \\

\therefore {\text{Loss% = 100}} \times 0.625 = 6.25\% \\

\]

Thus, loss percent is 6.25%.

Note: Always remember that cost price (CP) is the amount we pay to buy an item at which it is available. Similarly selling price (SP) is the rate at which an article is sold. There is a profit when the selling price is more than the cost price and there is loss when the cost price is more than the selling price.

Complete step-by-step answer:

Let selling price of 1 lemon = x

So, selling price (SP) of 45 lemons = 45 x

Given loss = selling price of 3 lemons = 3 x

We know that cost price (CP) = selling price (SP) + loss

= 45 x + 3 x

= 48 x

Consider, \[{\text{Loss% = 100}} \times \dfrac{{{\text{Loss}}}}{{{\text{CP}}}}\]

\[

{\text{Loss% = 100}} \times \dfrac{{3x}}{{48x}} \\

{\text{Loss% = 100}} \times \dfrac{1}{{16}} \\

\therefore {\text{Loss% = 100}} \times 0.625 = 6.25\% \\

\]

Thus, loss percent is 6.25%.

Note: Always remember that cost price (CP) is the amount we pay to buy an item at which it is available. Similarly selling price (SP) is the rate at which an article is sold. There is a profit when the selling price is more than the cost price and there is loss when the cost price is more than the selling price.

Recently Updated Pages

The aqueous solution of aluminium chloride is acidic due to

In order to prevent the spoilage of potato chips they are packed in plastic bags in an atmosphere of

When NaCl is dissolved in water the sodium ion becomes

Give the summary of the story the enchanted pool class 10 english ICSE

What is the message of the poem Nine Gold Medals class 10 english ICSE

Which body formulates the foreign policy of India class 10 social science ICSE

Trending doubts

Who was the Governor general of India at the time of class 11 social science CBSE

How do you graph the function fx 4x class 9 maths CBSE

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths

One Metric ton is equal to kg A 10000 B 1000 C 100 class 11 physics CBSE

In Indian rupees 1 trillion is equal to how many c class 8 maths CBSE

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Which snake builds a nest class 11 biology CBSE

What organs are located on the left side of your body class 11 biology CBSE

What is the z value for a 90 95 and 99 percent confidence class 11 maths CBSE