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The higher the discount the lesser will be his gain and vice versa.

If a shopkeeper gives 10% discount on the MRP of a toy, his gain
is 20%. If he had given a discount of 20%, his percentage of gain woulld
be?

solution: Let Cost Price = 100 let MRP = Y therefore according to question , If Discount is 10% on MRP , then Selling Price =Y - 10/100*Y = 100Y - 10Y/100 = 90/100*Y = 0.9 Y Gain = SP - CP 10 = 0.9 Y - 100 ...........(1) 100= 0.9Y - 10 100+10 = 0.9Y 110 = 0.9Y Y = 110/0.9 Y=122.22 If Discount = 20% on MRP , then SP = Y - 20/100*Y = Y - 0.2 Y = 0.8 Y = 0.8*122.22 = 97.77 By giving the discount of 20% , the seller will incur a loss given by = 100 - 97.77 = 2.22