By selling a bouquet for Rs.322 a florist gains 15%. At what price should he sell it to gain 25%?

Answer

To solve the problem step by step, we need to first find the cost price (CP) of the bouquet based on the selling price (SP) of Rs. 322 and the gain of 15%. Then, we will calculate the new selling price for a gain of 25%.

### Step 1: Calculate the Cost Price (CP)

We know that:
- Selling Price (SP) = Rs. 322
- Gain = 15%

The formula to find the cost price when the selling price and gain percentage are known is:

\[ CP = \frac{SP}{1 + \frac{Gain\%}{100}} \]

Substituting the values:

\[ CP = \frac{322}{1 + \frac{15}{100}} = \frac{322}{1 + 0.15} = \frac{322}{1.15} \]

Calculating this gives:

\[ CP = \frac{322}{1.15} \approx 280 \]

### Step 2: Calculate the Selling Price for a 25% Gain

Now, we need to find the selling price (SP) for a gain of 25%. The formula to find the selling price when the cost price and gain percentage are known is:

\[ SP = CP \times (1 + \frac{Gain\%}{100}) \]

Substituting the values:

\[ SP = 280 \times (1 + \frac{25}{100}) = 280 \times (1 + 0.25) = 280 \times 1.25 \]

Calculating this gives:

\[ SP = 280 \times 1.25 = 350 \]

### Final Answer:

The florist should sell the bouquet for Rs. 350 to gain 25%.

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