if a farmer sold two bullock for 2400 each on one bullock he gained 25 percent and on the he lost 20 percent find his total
loss percent
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A farmer sold 2 bullocks for Rs.24000 each. On one bullock he gained 25% and on the other lost 20%. Find his total profit or loss percent.
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Hint: Find the cost price for which each of the bullocks is bought. The final profit or loss can then be calculated by subtracting the cost price from the selling price of the bullocks. The profit or loss percentage is calculated by dividing total profit or loss to the total cost price multiplied by 100.
Complete step by step answer:
Let the cost price of the first bullock be x. The selling price of the bullock is 24000 and is sold at a profit of 25%.
Thus 24000 must be equal to the sum of x and 25% of x.
Thus x+25100x=24000
The above equation can be solved for x.
x=240001.25⇒x=19200
Similarly, let the cost price of the second bullock be y. The selling price of the bullock is 24000 and is sold at a loss of 20%.
Thus 24000 must be equal to the difference of y and 20% of y.
Thus y−20100y=24000
The above equation can be solved for y.
y=240000.8⇒y=30,000
The total cost price of the two bullocks will be x+y
Substituting 19200 for x and 30000 for y, we get the total cost price as
49200.
The total selling price of the two bullocks will be twice of 24000, that is 48000.
The difference between the total selling price and the total cost price is 48000−49200
is −1200
.
Since the difference is negative and thus represents a total loss of 1200.
The percent of loss will be given as total loss divided by the total cost price multiplied by 100.
loss% = lossC.P×100
The loss percent is therefore
1200/49200∗100120049200×100=2.43%
Thus, the farmer had a loss of 2.43% on selling both at the bullocks at 24,000
Correct Question:-
A farmer sold 2 bullocks for 24000 each . 1 bullock he gained 25% and the other he lost 20%. find loss or profit percentage?
Answer:-
Total Selling Price for 2 bullocks = 24000 + 24000 48000.
Given that, on the 1st bullock, he gains 25%.
Cost Price of the 1st bullock = 24000 * 100/125
= 19200.
Given that, on the 2nd bullock, he lost 20%.
Cost price of the 2nd bullock = 24000 * 100/80
= 30000.
Total cost price of 2 bullocks = 19200 + 30000
= 49200.
We know that Loss = CP - SP
= 49200 - 48000
= 1200.
AND,
Loss%= (Loss/CP) * 100
= (1200 * 100/49200)
= 2.43%