Question 64

The price of kerosene is ₹48 per litre and the price of spirit is ₹30 per litre. In what ratio should the kerosene and spirit be mixed so that the profit after selling the mixture at ₹60 per litre will be 50%?

Solution

profit after selling the mixture at ₹60 per litre will be 50%.

Cost price of the mixture = $$\frac{60}{\left(100+50\right)}\times100$$

= $$\frac{60}{\left(150\right)}\times100$$

= $$\frac{2}{5}\times100$$

= ₹40

The price of kerosene is ₹48 per litre and the price of spirit is ₹30 per litre.

Here we can apply the mixture and alligation concept. It is given below.

So the kerosene and spirit are to be mixed in the ratio of 5:4.


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