Question

A person calculates 33 1/3% profit at sp . find his profit at cp.

Answer 1

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Let's see what we have here. A shopkeeper sold Item X for a his selling price (SP).
Let SP = x

Since the question says that Profit is 25% of the selling price, we have:
Profit = 25% SP = 0.25x

Now, we already know that:
Profit = SP - Cost

This part is the catch. To find out how much Item X originally cost, 
Cost = SP - Profit = x - 0.25x = 0.75x

Now that we know the original cost of Item X, we can easily calculate the Real profit % using this formula:
= (Profit/Cost)*100 
= (0.25x/0.75x)*100
= 33%

Answer 2

Answer:

Step-by-step explanation:

so,

(sp-cp)/sp = 1/3

* 3sp-3cp=sp

* 2sp=3cp

*(2/3)sp=cp

now,

profit on cp=(sp-cp)/cp

* (sp-(2/3)sp/(2/3)sp)*100

* (sp/2sp)*100

=50%