Deepak bought a watch for Rs. 1920. For how much should he sell it to gain 5%?

Answer

To find out how much Deepak should sell the watch to gain a 5% profit, we can follow these steps:

### Step 1: Identify the Cost Price (CP)
The cost price (CP) of the watch is given as Rs. 1920.

### Step 2: Calculate the Gain
We need to find the selling price (SP) that will give a 5% gain. The gain can be calculated using the formula:
\[ \text{Gain} = \frac{\text{SP} - \text{CP}}{\text{CP}} \times 100 \]
Since we want a gain of 5%, we can set up the equation:
\[ 5 = \frac{\text{SP} - 1920}{1920} \times 100 \]

### Step 3: Simplify the Equation
To simplify, we can multiply both sides of the equation by 1920:
\[ 5 \times 1920 = \text{SP} - 1920 \times 100 \]
This simplifies to:
\[ 9600 = \text{SP} - 1920 \]

### Step 4: Solve for Selling Price (SP)
Now, we can isolate SP:
\[ \text{SP} = 9600 + 1920 \]
Calculating this gives:
\[ \text{SP} = 2880 \]

### Step 5: Final Calculation
Now we need to divide the total by 100 to find the actual selling price:
\[ \text{SP} = 2880 / 100 = 2016 \]

### Conclusion
Therefore, Deepak should sell the watch for Rs. 2016 to gain a 5% profit.

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