By selling a flower pot for Rs. `322,` a man gains `15%.`
At what price should he sell it to gain `20% ?`

Options

A. `"Rs.200"`
B. `"Rs.300"`
C. `"Rs.336"`
D. `"Rs.330"`

Answer

To solve the problem step by step, let's follow the logic presented in the video transcript.

### Step 1: Identify the Selling Price and Gain Percentage
We are given:
- Selling Price (SP) = Rs. 322
- Gain Percentage = 15%

### Step 2: Calculate the Cost Price (CP)
We know the formula relating Selling Price, Cost Price, and Gain Percentage:
\[ SP = \left( \frac{100 + \text{Gain Percentage}}{100} \right) \times CP \]
Substituting the values we have:
\[ 322 = \left( \frac{100 + 15}{100} \right) \times CP \]
This simplifies to:
\[ 322 = \left( \frac{115}{100} \right) \times CP \]

### Step 3: Rearranging to Find CP
To find CP, we can rearrange the equation:
\[ CP = \frac{322 \times 100}{115} \]
Calculating this:
\[ CP = \frac{32200}{115} \approx 280 \]
So, the Cost Price (CP) is Rs. 280.

### Step 4: Calculate the Selling Price for a 20% Gain
Now, we need to find the Selling Price when the Gain Percentage is 20%. We will use the same formula:
\[ SP = \left( \frac{100 + \text{Gain Percentage}}{100} \right) \times CP \]
Substituting the new gain percentage:
\[ SP = \left( \frac{100 + 20}{100} \right) \times 280 \]
This simplifies to:
\[ SP = \left( \frac{120}{100} \right) \times 280 \]

### Step 5: Calculate the New Selling Price
Calculating this:
\[ SP = \frac{120 \times 280}{100} = 336 \]
Thus, the Selling Price to gain 20% is Rs. 336.

### Final Answer
The man should sell the flower pot for **Rs. 336** to gain 20%.

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