Question

A vendor buys lemons at Rs 25 per dozen and sells them at the rate of 5 for Rs 12. Find his gain or loss per cent.

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

Step-by-step explanation:

Correct Question:-

A vender buys lemons at rs 25 per dozens and sells them at the rate of 5 for rs 12. Find his gain loss per cent.

AnswEr:-

Cost Price of 12 lemons = 25 Rs.

Now,Cost Price of 1 lemon = $\sf\dfrac{25}{12}$

So, Cost Price of 5 lemons

$:\implies\sf\; 5 = \dfrac{25}{12}$

$:\implies\sf\dfrac{125}{12}$

$:\implies\sf\; 10.416$

Hence, Cost Price of 5 lemons is 10.416.

Selling Price of 5 lemons at the rate of = 12 Rs.

Here, we can see that Selling Price of lemons is more than the Cost Price which means there is a Gain/ profit.

Since,

Profit Percentage = $\sf\dfrac{S.P - C.P}{C.P \times\;100}$

$:\implies\sf \dfrac{12 - 10.416}{10.416 \times\; 100}$

$:\implies\large\boxed{\sf{\blue{ Gain \; =\; 15.2\%}}}$

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