Yashwant buys candies at 15 for Rs 40 and sells them at 30 for Rs 50. What is the gain or loss percent?

Options

A. 37.5% Profit
B. 40% Loss
C. 36 % Profit
D. 37.5% Loss

Answer

To find the gain or loss percent for Yashwant's candy transactions, we will follow these steps:

### Step 1: Calculate the Cost Price (CP) of one candy
Yashwant buys 15 candies for Rs 40.
To find the cost price of one candy, we divide the total cost by the number of candies:

\[ \text{Cost Price (CP) of one candy} = \frac{40}{15} = \frac{8}{3} \text{ Rs} \]

### Step 2: Calculate the Selling Price (SP) of one candy
Yashwant sells 30 candies for Rs 50.
To find the selling price of one candy, we divide the total selling price by the number of candies:

\[ \text{Selling Price (SP) of one candy} = \frac{50}{30} = \frac{5}{3} \text{ Rs} \]

### Step 3: Determine if there is a gain or loss
Now, we compare the cost price and selling price:
- Cost Price (CP) = \(\frac{8}{3}\) Rs
- Selling Price (SP) = \(\frac{5}{3}\) Rs

Since the cost price is greater than the selling price, Yashwant incurs a loss.

### Step 4: Calculate the loss amount
The loss amount can be calculated as follows:

\[ \text{Loss} = \text{Cost Price} - \text{Selling Price} = \frac{8}{3} - \frac{5}{3} = \frac{3}{3} = 1 \text{ Rs} \]

### Step 5: Calculate the loss percent
The loss percent can be calculated using the formula:

\[ \text{Loss Percent} = \left( \frac{\text{Loss}}{\text{Cost Price}} \right) \times 100 \]

Substituting the values we have:

\[ \text{Loss Percent} = \left( \frac{1}{\frac{8}{3}} \right) \times 100 = \left( \frac{1 \times 3}{8} \right) \times 100 = \frac{3}{8} \times 100 = 37.5\% \]

### Final Answer
Yashwant incurs a loss of 37.5%.

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