by selling a stool for ₹ 7.50 a carpenter losses 10% how much percent would he gain or loss by selling it for rupees ₹82.50.
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selling price = 7.5
loss Percentage= 10%
Let Cost Price be 'x'
cost Price - cost price ×loss Percentage = selling price
x - x×10% = 7.5
x -10x/100 = 7.5
x -0.1x = 7.5
0.9x = 7.5
x = 7.5/0.9
x = 8.33 = cost price
Required Selling price = 82.50
cost Price + cost price ×gain percentage = selling price
8.33 + 8.33×gain percentage= 82.50
8.33×gain Percentage = 82.50 - 8.33
8.33 × Gain Percentage = 74.17
Gain Percentage = 74.17/8.33 =8.9 =8.9×100 = 890%
loss Percentage= 10%
Let Cost Price be 'x'
cost Price - cost price ×loss Percentage = selling price
x - x×10% = 7.5
x -10x/100 = 7.5
x -0.1x = 7.5
0.9x = 7.5
x = 7.5/0.9
x = 8.33 = cost price
Required Selling price = 82.50
cost Price + cost price ×gain percentage = selling price
8.33 + 8.33×gain percentage= 82.50
8.33×gain Percentage = 82.50 - 8.33
8.33 × Gain Percentage = 74.17
Gain Percentage = 74.17/8.33 =8.9 =8.9×100 = 890%
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