a machine is sold for rs.5060 at a profit of 10% what would be the loss or gain % when it is sold at 4370
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The loss per cent is 5%.
Given:
Selling price=Rs5060
Profit=10%
To find:
The loss or gain per cent on selling for Rs.4370
Solution:
Let the cost price of the given machine be X.
The profit earned on selling=10% of X
=10/100×X
=X/10
Now, the selling price can be obtained by adding the cost and profit.
Using the values, we get
5060=X+X/10
5060=(10X+X)/10
5060=11X/10
50600=11X
4600=X
The cost price of the machine=Rs.4600
Now, if the machine is sold for Rs.4370, there will be a loss.
The amount of loss=cost price-selling price
=4600-4370
=Rs.230
The percentage of loss=Amount of loss/cost price×100
=230/4600×100
=230/46
=5%
Therefore, the loss per cent is 5%.
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