Profit loss problem

A stockist wants to make profit by selling grains. Which of the following would maximize his profit?
I. Sell grains at 20% profit.
II. Use 800 g of weight instead of 1 kg.
III. Mix 20% impurities in grains and sell it at cost price.
IV. Increase the price by 10% and reduce weights by 10%

1)II
2)I or III
3)II, III and IV
4)Profits are same Please help me out with this problem,do explain thanks in advance

Case 1 : CP = 100 SP=120

Case 1 : CP = 100 SP=120 profit Rs.20 or 20%

Case 2: CP =100 for 1 kg then 80 for 800g
And here he will be selling at Rs.100
So profit=(100-80)/80 => 25%

Case 3: CP=100 for 1.2 kg
=> CP for 1 kg = (100/1.2)=83.33
SP=100 for 1 kg
So profit (100-83.3)/83.3 = 16.6/83.3 i.e 19.92 %

Case 4: CP1 =100 SP= 110
And CP for 1kg = 100
CP for 900g = 90
So profit = 20%

Thus case 2 is the answer

thanks

Thanks for the help!!
The method explained by you is very logical and easy to understand.

help me to solve this.......

Dear friends,
Can anyone of u ,help me to solve this problem..?
Also plz explain me "wats profit on selling price"...?

Qn:
Two merchants sell, each an article for Rs.1000. If Merchant A computes his profit on cost price, while Merchant B computes his profit on selling price, they end up making profits of 25% respectively. By how much is the profit made by Merchant B greater than that of Merchant A?

Profit on SP means the

Profit on SP means the percentage of profit is calculated with respect to sales price
i.e % of profit = ( profit amount / sales price ) x 100

Profit on CP means the percentage of profit is calculated with respect to cost price
i.e % of profit = (profit amount / cost price ) x 100

and profit amount = sale price – cost price

=================================================================
For Merchant A : Profit is on CP ,Profit= 25% and SP=1000

i.e (1000-CP)/CP x 100 = 25
=> 1000 –CP = CP/4
=> 5/4 CP = 1000
=>CP = 800
Profit= 200

For Merchant B : Profit is on SP ,Profit= 25% and SP=1000

i.e [(1000-CP)/1000] x 100 = 25
=> 1000 –CP = 250
=> CP = 750
Profit = 250

So the answer is Rs. 50 that is the profit made by merchant B is Rs.50 more than merchant A

confused

I have not understood your case2 and case3.I solved the question in foll manner:

Case1)Solved in same manner as u did.

Case2)C.P.for 1Kg is 100 so for 800gm will be 80
S.P.is 100.So profit will be 20%

Case3)C.P.is 80 and S.P. is 100.So profit will be 20%

Case4)Solved it in same manner as you did.

So answer I got is Profit is same for all.

For case 2 you can apply

For case 2 you can apply this formulae:
(100+gain%)/100=True Scale Reading/False scale reading..This will give you gain% of 25%.

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