In what ratio should sugar at ₹ $30$ per $kg$ be mixed with sugar at ₹ $45$ per $kg$ so that on selling the mixture at ₹ $42$ per $kg$ there is a profit of $20 \%$?

$A$ jar contained a mixture of two liquids $A$ and $B$ in the ratio $3 : 2.$ When $5$ litres of the mixture was taken out and $5$ litres of liquid $B$ was poured in the jar,this ratio became $2 : 3.$ The quantity of liquid $A$ contained in the jar initially was (in litres).

In what proportion must pulses of $Rs. 70$ per $kg$ be mixed with pulses of $Rs. 45$ per $kg$ to get a mixture of $Rs. 60$ per $kg$?

Two varieties of sugar are mixed together in a certain ratio. The cost of the mixture per $kg$ is ₹ $0.50$ less than that of the superior and ₹ $0.75$ more than the inferior variety. The ratio in which the superior and inferior varieties of sugar have been mixed is

In a zoo,there are rabbits and pigeons. If the heads are counted,there are $200$ and if legs are counted,there are $580$. How many pigeons are there?

Find the ratio in which rice at $Rs. 7.20$ per $kg$ should be mixed with rice at $Rs. 5.70$ per $kg$ to produce a mixture worth $Rs. 6.30$ per $kg$.