If a vendor sells a watermelon at Rs 69 he makes 8% loss. If he wants to make 16% profit then at what price (in Rs) should he sell ?

Options

A. 91
B. 83
C. 87
D. 79

Answer

To solve the problem step-by-step, we will follow these calculations:

### Step 1: Determine the Cost Price (CP)
Given that the vendor sells a watermelon for Rs 69 at an 8% loss, we can use the formula for selling price (SP) when there is a loss:
\[ SP = CP \times \left(1 - \frac{Loss\%}{100}\right) \]
Here, the loss percentage is 8%. We can express this as:
\[ 69 = CP \times \left(1 - \frac{8}{100}\right) \]
\[ 69 = CP \times \left(1 - 0.08\right) \]
\[ 69 = CP \times 0.92 \]

### Step 2: Calculate the Cost Price (CP)
To find the cost price (CP), we rearrange the equation:
\[ CP = \frac{69}{0.92} \]
Calculating this gives:
\[ CP = 75 \]

### Step 3: Determine the Selling Price for 16% Profit
Now, we want to find the selling price (SP) when the vendor makes a 16% profit. The formula for selling price when there is a profit is:
\[ SP = CP \times \left(1 + \frac{Profit\%}{100}\right) \]
Here, the profit percentage is 16%. Thus:
\[ SP = 75 \times \left(1 + \frac{16}{100}\right) \]
\[ SP = 75 \times \left(1 + 0.16\right) \]
\[ SP = 75 \times 1.16 \]

### Step 4: Calculate the Selling Price (SP)
Now we calculate:
\[ SP = 75 \times 1.16 = 87 \]

### Final Answer
The vendor should sell the watermelon for Rs 87 to make a 16% profit.

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