Problem in Profit and Loss

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?
(1) Rs.66.67
(2) Rs. 50
(3) Rs.125
(4) Rs.200

Can some one help me out in solving this problem?

Merchant A:Calcualtes the

Merchant A:
Calcualtes the profit on CP.

He is selling the article for 1000 and getting a profit of 25%.
Let the CP be X (say CP is 100)
then Selling price will be 1.25X (for 100 cp, SP will be 125 to get 25% profit)
profit=[(SP-CP)/CP * 100]

Now 1.25X=1000
=> X = 1000/1.25
=800
So cost price for merchant A = 800
and selling price is 1000
Thus profit = 200

Merchant B:
Calcualtes the profit on SP.
He is selling the article for 1000 and getting a profit of 25%.

then Cost Price can be calcualted as
profit=[(SP-CP)/SP ]* 100
=>25= [(1000-CP)/1000]*100
=>CP=750
and profit=250

So, the profit made by merchant B is 50 more than A.

Thank You

Thanks for your time in replying my post.

method

We can calculate profit of merchant B directly by 1000*25/100 = 250.

Please can u explain the formula u have used in solving this problem.

Nothin new

Hi folk, I thnk as she is calculatin d profit w.r.t. sellin price so dt formula is used...Bt dr is nothin new formula in dt pboblm...

Bt i also do blv calculatin profit (1000/4)=250 makes d qs easy to solve....

Regards,
Dipanjan......

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