Type A milk of cost price Rs 35 per litre is mixed with Type B milk having cost price rs 50 per litre in the ratio 3:2 respectively, then find the selling price(per kg) of the final mixture when sold at 25% profit ?(in rs)

Options

A. A)`51.25`
B. B)`48.75`
C. C)`53.3`
D. D)`57.4`

Answer

To solve the problem step by step, we will follow these calculations:

### Step 1: Understand the Ratios and Cost Prices
We have two types of milk:
- Type A milk: Cost Price (CP) = Rs 35 per litre
- Type B milk: Cost Price (CP) = Rs 50 per litre

They are mixed in the ratio of 3:2.

### Step 2: Calculate the Total Cost of the Mixture
To find the cost price of the mixture, we first need to calculate the total cost of each type of milk in the given ratio.

Let the quantity of Type A milk be 3 litres and Type B milk be 2 litres.

- Cost of Type A milk = 3 litres × Rs 35/litre = Rs 105
- Cost of Type B milk = 2 litres × Rs 50/litre = Rs 100

Now, we can find the total cost of the mixture:
- Total Cost = Cost of Type A + Cost of Type B = Rs 105 + Rs 100 = Rs 205

### Step 3: Calculate the Total Quantity of the Mixture
Now, we find the total quantity of the mixture:
- Total Quantity = 3 litres + 2 litres = 5 litres

### Step 4: Calculate the Cost Price of the Mixture per Litre
Now we can find the cost price of the mixture per litre:
- Cost Price of the Mixture = Total Cost / Total Quantity = Rs 205 / 5 litres = Rs 41 per litre

### Step 5: Calculate the Selling Price with Profit
Now we need to find the selling price of the mixture when sold at a profit of 25%.

To find the selling price (SP):
- Selling Price = Cost Price × (1 + Profit Percentage)
- Selling Price = Rs 41 × (1 + 0.25) = Rs 41 × 1.25 = Rs 51.25

### Final Answer
The selling price of the final mixture when sold at a 25% profit is **Rs 51.25**.

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