A tape-recorder is sold for 2,760 at a gain of 15% and a C.D. player is sold for Rs 3,240 at a loss of 10%. Find :
the C.P. of the C.D. player.

Answer

To find the cost price (C.P.) of the C.D. player, we can follow these steps:

### Step 1: Understand the given information
- Selling Price (S.P.) of the C.D. player = Rs 3,240
- Loss percentage = 10%

### Step 2: Express the loss in terms of C.P.
Since the C.D. player is sold at a loss of 10%, we can express the loss in terms of the cost price (C.P.).
Loss = 10% of C.P. = 0.1 × C.P.

### Step 3: Relate S.P. to C.P. and Loss
The relationship between Selling Price, Cost Price, and Loss can be expressed as:
\[ \text{S.P.} = \text{C.P.} - \text{Loss} \]

Substituting the loss expression into the equation gives:
\[ \text{S.P.} = \text{C.P.} - 0.1 \times \text{C.P.} \]
\[ \text{S.P.} = 0.9 \times \text{C.P.} \]

### Step 4: Substitute the S.P. value
Now, we can substitute the given S.P. value into the equation:
\[ 3240 = 0.9 \times \text{C.P.} \]

### Step 5: Solve for C.P.
To find the C.P., we can rearrange the equation:
\[ \text{C.P.} = \frac{3240}{0.9} \]

Calculating this gives:
\[ \text{C.P.} = 3600 \]

### Final Answer
The cost price (C.P.) of the C.D. player is Rs 3,600.

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