Question

By selling 36 oranges a dealer suffers loss equal to selling price of 4 orange.Find his loss per cent.

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%