If Ashok makes a profit of `25%` on the selling price what will be his profit on C.P. ?

Options

A. `40%`
B. `20%`
C. `33(1)/(3)%`
D. `25%`

Answer

To find Ashok's profit on the Cost Price (C.P.) when he makes a profit of 25% on the Selling Price (S.P.), we can follow these steps:

### Step-by-Step Solution:

1. **Assume the Selling Price (S.P.)**:
Let's assume the Selling Price (S.P.) is Rs. X.

2. **Calculate the Profit**:
Since Ashok makes a profit of 25% on the Selling Price, we can calculate the profit as:
\[ \text{Profit} = 25\% \text{ of S.P.} = \frac{25}{100} \times X = \frac{X}{4} \]

3. **Use the Profit Formula**:
The profit can also be expressed as:
\[ \text{Profit} = \text{S.P.} - \text{C.P.} \]
Therefore, we have:
\[ \frac{X}{4} = X - \text{C.P.} \]

4. **Rearrange to Find C.P.**:
Rearranging the equation gives us:
\[ \text{C.P.} = X - \frac{X}{4} \]
To simplify this, we can find a common denominator:
\[ \text{C.P.} = \frac{4X}{4} - \frac{X}{4} = \frac{3X}{4} \]

5. **Calculate Profit Percentage on C.P.**:
Now we need to find the profit percentage based on the Cost Price:
\[ \text{Profit Percent} = \left(\frac{\text{S.P.} - \text{C.P.}}{\text{C.P.}}\right) \times 100\% \]
Substituting the values we have:
\[ \text{Profit Percent} = \left(\frac{X - \frac{3X}{4}}{\frac{3X}{4}}\right) \times 100\% \]
Simplifying the numerator:
\[ X - \frac{3X}{4} = \frac{4X}{4} - \frac{3X}{4} = \frac{X}{4} \]
So the profit percentage becomes:
\[ \text{Profit Percent} = \left(\frac{\frac{X}{4}}{\frac{3X}{4}}\right) \times 100\% = \left(\frac{1}{3}\right) \times 100\% = \frac{100}{3}\% \]

6. **Convert to Mixed Fraction**:
\[ \frac{100}{3} = 33 \frac{1}{3}\% \]

### Final Answer:
The profit percentage on the Cost Price (C.P.) is **33⅓%**.

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