If $x$ $\%$ of $y$ is $100$ and $y$ $\%$ of $z$ is $200,$ then find a relation between $x$ and $z$.

If the numerator of a fraction is increased by $120 \%$ and the denominator is also increased by $350 \%$,then the fraction becomes $\frac{11}{27}$. What was the original fraction?

$A$ district has $64000$ inhabitants. If the population increases at the rate of $2 \frac{1}{2} \%$ per annum,then the number of inhabitants at the end of $3$ years will be...

The price of sugar is reduced by $2 \%$. How many $kg$ of sugar can now be bought for the money which was sufficient to buy $49$ $kg$ of sugar earlier?

Asha's monthly income is $60 \%$ of Deepak's monthly income and $120 \%$ of Maya's monthly income. What is Maya's monthly income,if Deepak's monthly income is Rs. $78000$?

Mr. Katial buys a house for ₹$100000$ and rents it out. He puts $12.5 \%$ of each month's rent aside for upkeep and repairs,pays ₹$325$ per year as taxes,and realizes a $5.5 \%$ annual return on his investment. Find the monthly rent.