A farmer sold two Bullock for rupees 18000 each. On one Bullock he gained 20% and on the other, he lost 20%. Find his total loss and gain per cent.

Given:

A farmer sold two bullocks for Rs. 18000 each. On one bullock he gained 20% and on the other he lost 20%.

To do: 

We have to find total gain or loss percent.

Answer:

Selling price of one bullock $(SP)=Rs.\ 18000$

Profit $ \% = 20 \%$

Cost price of one bullock $= \frac{100 \times SP}{(100 + 20)}$

$= 100 \times \frac{18000}{120}$

$= Rs.\ 15,000$

SP of the bullock $=Rs.\ 18000$

Loss $ \% = 20 \%$

Cost price of the other bullock $=\frac{100 \times SP}{100 - 20}$

$= 100 \times\frac{18000}{80}$

$= 22,500$

Therefore,

Total cost price of two bullocks $= Rs.\ (15,000 + 22,500) = Rs.\ 37,500$

Total selling price of two bullocks $= Rs.\ (18000 + 18000) = Rs.\ 36000$

Here,

Total SP $<$ Total CP

So, there is a loss.

Loss $=$ CP $-$ SP

$=37,500 - 36,000$

$= Rs.\ 1,500$

Loss $ \%= \frac{Loss }{Total\ CP} \times 100$

$= \frac{1500}{37500} \times 100$

$= 4 \%$

Hence, loss percent is 4%.

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Updated on: 10-Oct-2022

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