Ramesh sold a phone at a loss of `5%` . Had he sold it for Rs. 200 more, he would gave gained `15%` . To gain `25%` he shoud sell it for :
` A : Rs. 1175 `
B.Rs 1150
C . Rs 1225
D Rs .1250

Options

A. B
B. A
C. C
D. D

Answer

To solve the problem step by step, let's denote the cost price of the phone as \( CP \).

### Step 1: Understand the Loss and Gain
Ramesh sold the phone at a loss of 5%. This means:
\[ SP_1 = CP - 0.05 \times CP = 0.95 \times CP \]

### Step 2: Selling Price for 15% Gain
If he had sold it for Rs. 200 more, he would have gained 15%. Therefore:
\[ SP_2 = SP_1 + 200 = CP + 0.15 \times CP = 1.15 \times CP \]

### Step 3: Set Up the Equation
From the above two equations, we can set up the following equation:
\[ 0.95 \times CP + 200 = 1.15 \times CP \]

### Step 4: Solve for Cost Price (CP)
Rearranging the equation:
\[ 200 = 1.15 \times CP - 0.95 \times CP \]
\[ 200 = (1.15 - 0.95) \times CP \]
\[ 200 = 0.20 \times CP \]
\[ CP = \frac{200}{0.20} = 1000 \]

### Step 5: Calculate Selling Price for 25% Gain
To find the selling price for a 25% gain, we use the formula:
\[ SP = CP + 0.25 \times CP = 1.25 \times CP \]
Substituting the value of \( CP \):
\[ SP = 1.25 \times 1000 = 1250 \]

### Conclusion
Thus, to gain 25%, Ramesh should sell the phone for Rs. 1250.

### Answer
The correct option is D: Rs. 1250.

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