Arun buys one kg of apples for Rs 120 and sells it to Swati gaining 25%. Swati sells it to Divya and Divya again sells it for 198, making a profit of 10%. What is the profit percentagge made by Swati?

Options

A. 0.25
B. 0.2
C. 0.1667
D. 0.15

Answer

To solve the problem step by step, let's break it down:

### Step 1: Calculate Arun's Selling Price
Arun buys 1 kg of apples for Rs. 120 and sells it to Swati at a profit of 25%.

- **Cost Price (CP) of Arun** = Rs. 120
- **Profit Percentage** = 25%

To find the Selling Price (SP) for Arun:
\[ \text{SP} = \text{CP} + \text{Profit} \]
Where,
\[ \text{Profit} = \frac{\text{Profit Percentage}}{100} \times \text{CP} \]
\[ \text{Profit} = \frac{25}{100} \times 120 = 30 \]
Thus,
\[ \text{SP of Arun} = 120 + 30 = 150 \]

### Step 2: Calculate Divya's Cost Price
Divya sells the apples for Rs. 198, making a profit of 10%.

- **Selling Price (SP) of Divya** = Rs. 198
- **Profit Percentage** = 10%

To find the Cost Price (CP) for Divya:
Let the CP of Divya be \( x \).
\[ \text{SP} = \text{CP} + \text{Profit} \]
Where,
\[ \text{Profit} = \frac{\text{Profit Percentage}}{100} \times \text{CP} \]
Thus,
\[ 198 = x + \frac{10}{100} \times x \]
\[ 198 = x + 0.1x \]
\[ 198 = 1.1x \]
Now, solving for \( x \):
\[ x = \frac{198}{1.1} = 180 \]

### Step 3: Calculate Swati's Profit
Now we know that Swati bought the apples for Rs. 150 (the SP of Arun) and sold them to Divya for Rs. 180 (the CP of Divya).

- **Selling Price of Swati** = Rs. 180
- **Cost Price of Swati** = Rs. 150

To find the profit made by Swati:
\[ \text{Profit} = \text{Selling Price} - \text{Cost Price} \]
\[ \text{Profit} = 180 - 150 = 30 \]

### Step 4: Calculate Swati's Profit Percentage
To find the profit percentage made by Swati:
\[ \text{Profit Percentage} = \left( \frac{\text{Profit}}{\text{Cost Price}} \right) \times 100 \]
\[ \text{Profit Percentage} = \left( \frac{30}{150} \right) \times 100 = 20\% \]

### Final Answer
Swati made a profit percentage of **20%**.

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