A trader buys jowar at 30 per kg. 20% of the grain gets wasted. He plans to sell the remaining grain so that he makes 40% overall profit grain ?

Options

A. 48
B. 50
C. 52.5
D. 47.5

Answer

To solve the problem step by step, let's break down the information given and calculate the required values.

### Step 1: Calculate the Cost Price (CP)
The trader buys jowar at Rs 30 per kg. Let's assume he buys 10 kg of jowar.

- **Cost Price (CP) = Price per kg × Quantity**
- CP = 30 × 10 = Rs 300

**Hint:** To find the total cost, multiply the price per kg by the total quantity purchased.

### Step 2: Calculate the Wastage
20% of the grain gets wasted. We need to find out how much grain is wasted from the total quantity.

- **Wastage = 20% of Total Quantity**
- Wastage = 20% of 10 kg = (20/100) × 10 = 2 kg

**Hint:** To find a percentage of a quantity, multiply the percentage (in fraction) by the total quantity.

### Step 3: Calculate the Remaining Quantity
Now, we need to determine how much jowar remains after the wastage.

- **Remaining Quantity = Total Quantity - Wastage**
- Remaining Quantity = 10 kg - 2 kg = 8 kg

**Hint:** Subtract the amount wasted from the total quantity to find the remaining quantity.

### Step 4: Calculate the Desired Selling Price for Profit
The trader wants to make a 40% profit on the total cost price of Rs 300.

- **Desired Profit = 40% of CP**
- Desired Profit = 40% of 300 = (40/100) × 300 = Rs 120

Now, we can find the total selling price (SP) required to achieve this profit.

- **Total Selling Price (SP) = CP + Desired Profit**
- SP = 300 + 120 = Rs 420

**Hint:** To find the selling price for a desired profit, add the profit to the cost price.

### Step 5: Calculate the Selling Price per kg
Now we need to find the selling price per kg of the remaining jowar.

- **Selling Price per kg = Total Selling Price / Remaining Quantity**
- Selling Price per kg = 420 / 8 = Rs 52.50

**Hint:** To find the price per unit, divide the total selling price by the number of units (in this case, kg).

### Final Answer
The trader should sell the remaining jowar at Rs 52.50 per kg to achieve a 40% profit.

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