Nikita bought 30 kg of wheat at the rate of 9.50 per kg and 40 kg of wheat at the rate of 8.50 per kg and mixed them. She sold the mixture at the rate of 8.90 per kg. Her total profit or loss in the transaction was:

Options

A. Re. 1 loss
B. Rs. 2 profit
C. Rs. 3 loss
D. Rs. 4 profit

Answer

To find the total profit or loss in Nikita's transaction, we will follow these steps:

### Step 1: Calculate the Cost Price (CP) of the Wheat
Nikita bought two quantities of wheat:
- 30 kg at the rate of ₹9.50 per kg
- 40 kg at the rate of ₹8.50 per kg

**Calculation:**
- Cost of 30 kg of wheat = 30 kg × ₹9.50/kg = ₹285
- Cost of 40 kg of wheat = 40 kg × ₹8.50/kg = ₹340

**Total Cost Price (CP) of the mixture:**
\[ \text{Total CP} = \text{Cost of 30 kg} + \text{Cost of 40 kg} = ₹285 + ₹340 = ₹625 \]

### Step 2: Calculate the Selling Price (SP) of the Wheat Mixture
After mixing, the total quantity of wheat is:
- Total quantity = 30 kg + 40 kg = 70 kg

Nikita sold the mixture at the rate of ₹8.90 per kg.

**Calculation:**
\[ \text{Selling Price (SP)} = \text{Total quantity} \times \text{Selling price per kg} \]
\[ \text{SP} = 70 kg \times ₹8.90/kg = ₹623 \]

### Step 3: Calculate Profit or Loss
To find the profit or loss, we subtract the Selling Price (SP) from the Cost Price (CP).

**Calculation:**
\[ \text{Loss} = \text{CP} - \text{SP} \]
\[ \text{Loss} = ₹625 - ₹623 = ₹2 \]

### Conclusion
Nikita incurred a loss of ₹2 in the transaction.

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