A milkman sold two of his buffaloes for Rs.$ \ 20,000 $ each. On one he made a gain of $ 5 \% $ and on the other a loss of $ 10 \% $. Find his overall gain or loss. (Hint: Find CP of each)

Given:

A milkman sold two of his buffaloes for Rs.\( \ 20,000 \) each. On one he made a gain of \( 5 \% \) and on the other a loss of \( 10 \% \). 

To do: 

We have to find his overall gain or loss.

Answer:

Selling price of one buffalo $(SP)=Rs.\ 20000$

Profit $ \% = 5 \%$

Cost price of one buffalo $= \frac{100 \times SP}{(100 + 5)}$

$= 100 \times \frac{20000}{105}$

$= Rs.\ 19,047.62$

SP of the buffalo $=Rs.\ 20000$

Loss $ \% = 10 \%$

Cost price of the other buffalo $=\frac{100 \times SP}{100 - 10}$

$= 100 \times\frac{20000}{90}$

$= 22,222.22$

Therefore,

Total cost price of two buffaloes $= Rs.\ (19,047.62 + 22,222.22) = Rs.\ 41269.84$

Total selling price of two buffaloes $= Rs.\ (20000 + 20000) = Rs.\ 40000$

Here,

Total SP $<$ Total CP

So, there is a loss.

Loss $=$ CP $-$ SP

$=41269.84 - 40,000$

$= Rs.\ 1269.84$

Hence, his overall is Rs. 1269.84. 

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Updated on: 10-Oct-2022

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