A retailer purchases a sofa set at a discount of 20% and sells it for Rs.2200. In the bargain he makes a profit of 20% . How much discount ( in Rs.) did he receive ?
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Profit = Profit% × CP / 100 = SP - CP
20 × CP / 100 = 2200 - CP
CP / 5 = 2200 - CP
CP = 11000 - 5CP
6CP = 11000
CP = 1833.3
noW CP BECOMES SP
1833.3 + (20/100) × X = X
1833.3 + 0.2X = X
1833.3 = 0.8X
X = 1833.3 / 0.8
X = 2291.6
20 × CP / 100 = 2200 - CP
CP / 5 = 2200 - CP
CP = 11000 - 5CP
6CP = 11000
CP = 1833.3
noW CP BECOMES SP
1833.3 + (20/100) × X = X
1833.3 + 0.2X = X
1833.3 = 0.8X
X = 1833.3 / 0.8
X = 2291.6
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