Question

a vendor buys lemon at rupees 25 per dozen and sells them at the rate of 5 for rupees 12 find his gain or loss percent

Answer 1

It is given that a vendor buys lemon at rupees 25 per dozen.

So, 12 lemons cost ₹25

Therefore, 1 lemon would cost ₹25/12

Now,

SP of 5 lemons=₹12

So, SP of 1 lemon=₹12/5

So, here SP>CP, which means that there is a gain/profit.

Now, gain=SP-CP

=₹(12/5-25/12)

=₹19/60

Now, gain%=Gain/CP×100

=19/60/25/12×100

=76/5%

=15.2%

Answer 2

C.P of lemons per dozen= ₹25

C.P of 12 lemons= ₹25                                             (because 1 dozen= 12)

C.P of 1 lemon= ₹25/12

C.P of 5 lemons= (25/12)x5 = (125/12) = ₹10.42

S.P of 5 lemons = ₹12

Here, S.P > C.P

Gain= S.P - C.P

       = 12 - 10.42

       = 1.58

Gain% = Gain/C.P x100= 1.58/10.42 x100 = 158/1042 x100 = 0.1516 x100

                                                                                                     = 15.16%

                                                                                                     = 15.2%