Find the Loss or Gain Obtained by Selling Goods13% is lost by selling goods for Rs.1475, What will be the loss or gain if the goods are sold for Rs.1615?
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Answered by
88
Let the cost price is Rs. x. Then 13% loss means Rs. 13x/100 is lost.
∴, x-13x/100=1475
or, (100x-13x)/100=1475
or, 87x=1475×100
or, x=(1475×100)/87
or, x=1695.40
Then if the goods are sold for Rs. 1615 then there will be a loss of
=(1695.40-1615)=Rs. 80.40
∴, x-13x/100=1475
or, (100x-13x)/100=1475
or, 87x=1475×100
or, x=(1475×100)/87
or, x=1695.40
Then if the goods are sold for Rs. 1615 then there will be a loss of
=(1695.40-1615)=Rs. 80.40
Answered by
26
Let X be the Cost Price of the Goods in question.
A loss of 13% made on the Cost Price X will mean X - 0.13X = 0.87X (this is the selling price)
Since the selling price is given to us as Rs. 1475, we can equate the two:
0.87X = 1475
Therefore X = Rs. 1695.40 (the original cost price)
Now if the goods are now sold for Rs. 1615, there is a clear loss of Rs. 80.40 (Rs.1695.40 - Rs. 1615)
The loss percentage (if required) can be calculated as 80.4/1695.4 = 4.74%
A loss of 13% made on the Cost Price X will mean X - 0.13X = 0.87X (this is the selling price)
Since the selling price is given to us as Rs. 1475, we can equate the two:
0.87X = 1475
Therefore X = Rs. 1695.40 (the original cost price)
Now if the goods are now sold for Rs. 1615, there is a clear loss of Rs. 80.40 (Rs.1695.40 - Rs. 1615)
The loss percentage (if required) can be calculated as 80.4/1695.4 = 4.74%
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