Question

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 1

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.

Answer 2

Answer:

18 toffeess

Step-by-step explanation:

By selling 12 toffees at one rupee his loss is 20% =>  cp-1/cp =20/100

then the cp of 12 toffees will be 5/4 rupees .

Now for a profit of 20% = >  his selling price will be 1.5 rupees

Then, we already know that he sells 12 toffees for 1 rupee .

12= 1

?=1.5    --> By cross multiplication we get 18 toffees .