A dealer buys apples at ₹50, ₹40 and ₹30 per kilogram. He mixes them in the ratio 2:4:9 respectively, by weight, and sells at a profit of 30%. At what approximate price per kilogram does he sell the apples?

Correct option is B

Given:

Dealer buys apples at three different prices: ₹50, ₹40, and ₹30 per kilogram. He mixes them in the ratio 2:4:9 by weight.

Profit = 30% 

Selling price per Kg = ? 

Formula Used:

Selling price  = cost price × (1+ $$\frac{profit}{100}$$​) 

Solution:

Let the total weight of the mixture be 2 + 4 + 9 = 15 kilograms

The cost of 2 kg of apples at ₹50 per kg is: = 2×50 = 100

The cost of 4 kg of apples at ₹40 per kg is: 4×40 = 160

The cost of 9 kg of apples at ₹30 per kg is: 9×30 = 270 

The total cost for the 15 kg mixture is: 100 + 160 + 270 = 530

Now, the cost per kilogram of the mixture is: $$\frac {530}{15}$$ ​

So, the selling price per kilogram  = $$\frac {530}{15}\times{(1+ \frac{30}{100}})$$​  

= $$\frac{530×130}{15×100}$$ 

= 45.933

Thus the dealer sells the apples at approximately ₹45.9 per kilogram .