CAT (QA) PYQs

A chemist mixes two liquids $1$ and $2$. One litre of liquid $1$ weighs $1 \mathrm{~kg}$ and one litre of liquid $2$ weighs $800 \mathrm{gm}$. If half litre of the mixture weighs $480 \mathrm{gm}$, then the percentage of liquid $1$ in the mixture, in terms of volume, is

The strength of a salt solution is $p\%$ if $100 \mathrm{ml}$ of the solution contains p grams of salt. If three salt solutions $A, B, C$ are mixed in the proportion $1: 2: 3$, then the resulting solution has strength $20 \%$. If instead the proportion is $3: 2: 1$, then the resulting solution has strength $30 \%$. A fourth solution, $D$, is produced by mixing $B$ and $C$ in the ratio $2: 7$. The ratio of the strength of $D$ to that of $A$ is

A person buys tea of three different qualities at Rs. $800$, Rs. $500$, and Rs. $300$ per kg, respectively, and the amounts bought are in the proportion $2: 3: 5$. She mixes all the tea and sells one-sixth of the mixture at Rs. $700$ per kg. The price, in INR per kg, at which she should sell the remaining tea, to make an overall profit of $50\%$, is