Kiran lends ₹$1000$ on simple interest to Harsh for a period of $5$years. She lend a part of the amount at $2\%$interest and the rest at $8\%$ and receives ₹$300$ as the amount of interest. How much money(in ₹) did she lend on $2\%$ rate?

A tank contains of  $500$ liters of wine. $50$ liters of wine is taken out of it and replaced by water. This process is again repeated. Find the proportion of water and wine in the resulting mixture.

A man purchased a table and a chair for ₹$2000$ . He sold the table at a profit of  $20$% and the chair at a profit of  $40$%. In this way, his total profit was $25$%. Find the cost price of the table.

A tank has a capacity of $10$ gallons and full of his alchol $2$ gallons of alchol are drawn out and the tank is again filled withwater.This process is repeated $5$ times .Find out how many alchol is left in the resulting mixture finally?

A vessel is full of milk $\frac{1}{4}$ of the milk is taken out and the vessel is filled with water. If the process is repeated $4$ times and$100$ litres of milk is finally left in the vessel, what isthe capacity of vessel?

In what ratio should two qualities of tea having the rates of $₹40$/kg and $₹$$30$/kg be mixed in order to get a mixture that would have a rate of $₹$$35$/kg?  

In what ratio should water be mixed with soda costing $₹12$ per litre so as to make a profit of $50\%$ by selling diluted liquid at $₹15$.