Question

21. By selling 36 oranges, a vendor suffers a loss equal to the selling price of 4 oranges. Find his
loss per cent.
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Answer 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 is helpful for you.

Answer 2

Answer:

11 1/9 %

Step-by-step explanation:

Loss of SP of 36 oranges = SP of 4 oranges

Let CP of 36 oranges be ₹ 108

CP of 4 oranges = ₹ 12

SP = CP - loss = ₹ 108 - ₹ 12 = ₹ 96

Loss percent = 12/108 x 100 = 100/9 = 11 1/9 %