A fruit marchant earns 20% profit on selling mangoes at certain price. If he increases price of each mango by Rs 1 then his profit is 40% Find initial S.P. of each mango.

Answer

To find the initial selling price (S.P.) of each mango, we can follow these steps:

### Step 1: Define Variables
Let the cost price (C.P.) of each mango be \( x \) rupees.

### Step 2: Calculate Selling Price with 20% Profit
The selling price when the profit is 20% can be calculated using the formula:
\[ \text{Selling Price} = \text{Cost Price} + \text{Profit} \]
Since the profit is 20% of the cost price, we have:
\[ \text{Selling Price} = x + 0.2x = 1.2x \]

### Step 3: Calculate Selling Price with 40% Profit
When the price is increased by Rs 1, the new selling price becomes:
\[ \text{New Selling Price} = 1.2x + 1 \]
The profit in this case is 40%, so:
\[ \text{New Selling Price} = x + 0.4x = 1.4x \]

### Step 4: Set Up the Equation
Now, we can set the two expressions for the new selling price equal to each other:
\[ 1.2x + 1 = 1.4x \]

### Step 5: Solve for x
Rearranging the equation gives:
\[ 1 = 1.4x - 1.2x \]
\[ 1 = 0.2x \]
\[ x = \frac{1}{0.2} = 5 \]

### Step 6: Find the Initial Selling Price
Now that we have the cost price \( x = 5 \) rupees, we can find the initial selling price:
\[ \text{Initial Selling Price} = 1.2x = 1.2 \times 5 = 6 \text{ rupees} \]

### Final Answer
The initial selling price of each mango is Rs 6.

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