Math, asked by DipenSharma, 6 months ago

By selling 36 oranges , a vendor suffers a loss equal to the selling price of 4 oranges . Find his loss %.​

Answers

Answered by Anonymous
1

Step-by-step explanation:

Let c.p of 1 orange = x

therfore c.p of 36 oranges = 36x

let s.p per orange = s

therefore sp of 36 oranges = 36s

loss as given = sp of 4 oranges = 4s

but as per definition of loss,

LOSS= C.P-S.P

i.e. 4s = 36x - 36s

4s + 36s = 36x

40s = 36x

therefore : s = 9x/10

now, loss% = loss X 100 / C.P

loss% = 4s X 100 / 36x

substitute  s = 9x/10

loss% = 4 X 9x/10 X100 /36x

        = 10

therefore loss is 10%   hope this helps u

Answered by SparklingThunder
0

 \huge  \purple{ \underline{ \boxed{ \red{ \mathbb{ANSWER : }}}}}

 \red{ \textsf{Loss percentage =  \orange{10 \% }}}

 \huge  \purple{ \underline{ \boxed{ \red{ \mathbb{EXPLANATION : }}}}}

 \red{ \textsf{Let x be the price of an orange . }}

 \green{ \mathbb{ACCORDING \:  TO  \: QUESTION :}}

 \red { \textsf{Cost Price = 36x+4x = 40x}}

 \red{ \textsf{Selling Price=36x}}

  \red{\mathsf{Loss \:  Percentage =  \frac{Cost Price - Selling Price }{Cost Price}  \times 100 }}

\red{\mathsf{Loss \:  Percentage = \frac{4 \cancel{x}}{40 \cancel{x}}  \times 100}}

\red{\mathsf{Loss \:  Percentage = \frac{100}{10} }}

\red{  \colorbox{yellow}{\boxed{\mathsf{Loss \:  Percentage = 10\%}}}}

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