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By selling 12 toffees for a rupee, a man loses 20%. how many toffees for a rupee should he sell to get a gain of 20%?

Answer»

Here is ur answer.....hope it helps u



The total SELLING PRICE of 12 toffees (12 SP) = 1 
Let the cost price of each toffee be CP 
Loss% = {(CP -12SP)/CP}X100 
20 = {(CP -1)/CP}X100 
0.2 = (CP - 1)/CP 
0.2CP = CP - 1 
0.8CP = 1 
CP = 1/0.8 = 1.25 
So this is the cost of 12 toffees. 
Now the man wants to earn 20% profit on it 
So Profit = {(SP -CP)/CP}X100 
20 = {(SP - 1.25)/ 1.25} X 100 
SP -1.25 = 20X1.25 / 100 
SP - 1.25 = 0.25 
SP = 1.25+0.25 
SP = 1.5 

So to earn 20% profit on 12 toffees he has to sell the 12 toffees in 1.5 Rs 
Now the Selling price of one toffee is 1.5/12 = 0.125 
So for One rupee he can sell 1/0.125 toffees or 8.toffees.


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