If a vendor sells a coconut at Rs 14.4 he makes 10% loss. If he wants to make 25% profit, then at what price (in Rs) should he sell?

Options

A. 18
B. 20
C. 16
D. 22

Answer

To solve the problem, we need to find the cost price (CP) of the coconut first, and then determine the selling price (SP) required for a 25% profit.

### Step-by-Step Solution:

1. **Understanding the Loss**:
The vendor sells the coconut for Rs 14.4 and incurs a 10% loss. This means that the selling price (SP) is 90% of the cost price (CP).

\[ SP = CP - (10\% \text{ of } CP) = 0.90 \times CP \]

2. **Setting Up the Equation**:
Since the selling price is given as Rs 14.4, we can set up the equation:

\[ 14.4 = 0.90 \times CP \]

3. **Calculating the Cost Price (CP)**:
To find CP, we rearrange the equation:

\[ CP = \frac{14.4}{0.90} \]

Now, calculating this gives:

\[ CP = \frac{14.4}{0.90} = 16 \]

4. **Calculating the Selling Price for 25% Profit**:
To find the selling price for a 25% profit, we use the formula:

\[ SP = CP + (25\% \text{ of } CP) = CP + 0.25 \times CP = 1.25 \times CP \]

5. **Substituting the Cost Price**:
Now substituting the value of CP we found:

\[ SP = 1.25 \times 16 = 20 \]

6. **Final Answer**:
Therefore, the vendor should sell the coconut for Rs 20 to make a 25% profit.

### Summary:
The selling price to achieve a 25% profit is Rs 20.

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