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 need to find out the cost price (CP) of the watermelon first, and then determine the selling price (SP) required for a 16% profit.

### Step 1: Calculate the Cost Price (CP)
The vendor sells the watermelon at Rs. 69 with an 8% loss. This means that the selling price (SP) is 92% of the cost price (CP).

We can express this relationship mathematically as:
\[ SP = CP \times \left(1 - \frac{Loss\%}{100}\right) \]
\[ 69 = CP \times \left(1 - \frac{8}{100}\right) \]
\[ 69 = CP \times 0.92 \]

Now, to find the cost price (CP), we rearrange the equation:
\[ CP = \frac{69}{0.92} \]

### Step 2: Calculate CP
Now, we perform the division:
\[ CP = \frac{69}{0.92} = 75 \]

### Step 3: Calculate the Selling Price for 16% Profit
To find the selling price for a 16% profit, we use the formula:
\[ SP = CP \times \left(1 + \frac{Profit\%}{100}\right) \]
\[ SP = 75 \times \left(1 + \frac{16}{100}\right) \]
\[ SP = 75 \times 1.16 \]

### Step 4: Calculate the Selling Price
Now, we perform the multiplication:
\[ SP = 75 \times 1.16 = 87 \]

Thus, the vendor should sell the watermelon for Rs. 87 to achieve a 16% profit.

### Final Answer
The selling price to achieve a 16% profit is **Rs. 87**.

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