Number of appeared candidates from State $Q$ increased by $100 \%$ from $2006$ to $2007$. If the total number of qualified candidates from State $Q$ in $2006$ and $2007$ together is $408$,what is the number of appeared candidates from State $Q$ in $2006$?

$40 \%$ of $1640 + ? = 35 \%$ of $980 + 150 \%$ of $850$

$A$ man wills $40 \%$ of his wealth to his wife and the rest to his children. What percentage of the wealth willed to the wife do the children get?

$23 \%$ of $8040 + 42 \%$ of $545 = ? \%$ of $3000$

$A$ shopkeeper undertakes to supply $2000$ tables at $Rs. 1725$ each. He estimates that if $10\%$ are defective,which will be sold at $50\%$ of the original price,then the profit will be $15\%$ on his whole outlay. When the tables were supplied,$70\%$ of the tables were found defective. What loss did the shopkeeper incur?

$A$ person spends $25 \%$ of his annual income on house rent,$15 \%$ on education of children,and $45 \%$ on other items. If he saves $₹ 14,400$ annually,then the person's total income is: (in $,000$)