Question

on selling 36 oranges a vendor loses the selling price of 4oranges find loss percent

Answer 1

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%

Answer 2

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

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

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

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

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

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

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

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

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

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

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