The population of Delhi two years ago was $55000$. It increased by $12 \%$ in the first year and decreased by $15 \%$ in the second year. What was the population of the town at the end of $2$ years?

Mr. Giridhar spends $50 \%$ of his monthly income on household items. Out of the remaining,he spends $50 \%$ on transport,$25 \%$ on entertainment,and $10 \%$ on sports. If the remaining amount of $RS. 900$ is saved,what is Mr. Giridhar's monthly income?

In a motor of $120$ machine parts,$5 \%$ parts were defective. In another motor of $80$ machine parts,$10 \%$ parts were defective. For the two motors considered together,the percentage of defective machine parts was (in $\%$)

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?

Rajeev buys goods worth Rs. $6650$. He gets a rebate of $6\%$ on it. After getting the rebate,he pays sales tax at the rate of $10\%$. Find the total amount he will have to pay for the goods.

If $35 \%$ of a number is $12$ less than $50 \%$ of that number,then the number is: