CAT 2018 Slot 1 QA Question 2: A trader sells 10 litres of a mixture of paints A and B, where the amount of B in the mixture does not exceed that of A. The cost of paint A per litre is Rs. 8 more than that of paint B. If the trader

Question

A trader sells 10 litres of a mixture of paints A and B, where the amount of B in the mixture does not exceed that of A. The cost of paint A per litre is Rs. 8 more than that of paint B. If the trader

Accepted Answer

Let the cost of paint B be Rs. b per litre. Then the cost of paint A is Rs. (b + 8) per litre.
Cost price of the entire mixture $=\dfrac{264}{1.1} = 240$.
Average cost price per litre $=\dfrac{240}{10} = 24$.
Let the amount of paint B in the mixture be x litres. Since B does not exceed A, $x \leq 5$