If the price of gold increases by $30 \%$,find by how much the quantity of ornaments must be reduced so that the expenditure may remain the same as before?

In a competitive examination in state $A$,$6\%$ of the total candidates who appeared were selected. State $B$ had an equal number of candidates who appeared,and $7\%$ of the candidates were selected,which resulted in $80$ more candidates being selected than in state $A$. What was the number of candidates who appeared from each state?

If all sides of a hexagon are increased by $7 \%$,find the percentage increase in its area. (in $\%$)

Starting with $8000$ workers,the company increases the number of workers by $5 \%$,$10 \%$,and $20 \%$ at the end of the first,second,and third year,respectively. The number of workers in the fourth year is:

Two numbers are $90 \%$ and $75 \%$ lesser than a third number. By what percentage should the first number be increased so that it becomes equal to the second number?

Two shopkeepers sell a radio of similar brand and type at the same list price of $₹ 1000$. The first allows two successive discounts of $20 \%$ and $10 \%$,and the second allows two successive discounts of $15 \%$ and $15 \%$. Find the difference in discounts offered by the two shopkeepers.