Simplification

Free notebooks were distributed equally among children of a class. The number of notebooks each child got was one-eight of the number of children. If the number of children been half, each child would have got $16$ notebooks. Total how many notebooks were distributed?

In a regular week, there are $5$ working days and for each day, the working hours are $8$ .A man gets $\mathrm{Rs}. 2.40$ per hour for regular work and $\mathrm{Rs}.3.20$ per hours for overtime. If he earns $\mathrm{Rs}.432$ in $4$ week, then how many hours does he work for?

To fill tank, $25$ Buckets of water is required. How many buckets of water will be required to fill the same tank if the capacity the bucket is reduced to two-fifth of its present?

Eight people are planning to share equally the cost of a rental car, If one person withdraws from the arrangement and the others share equally the entire cost of the car, then the share of each of the remaining prerson increased by:

A fires $5$ shots to $\mathrm{B}\text{'}$s $3$ but A kills only once in $3$ shots while B kills once in $2$ shots. When $\mathrm{B}$ has missed $27$ times, $\mathrm{A}$ has killed:

One-third of Rahul's savings in National savings Certificate is equal to one-half of his saving in public provident fund. If he has $\mathrm{Rs}.1,50,000$ as total saving, how much has he saved in public provident fund?

A sum of $\mathrm{Rs}.1360$ has been divided among $\mathrm{A},\mathrm{B} \mathrm{and} \mathrm{C}$ such that $\mathrm{A} \mathrm{gets} \frac{2}{3}$ of what $\mathrm{B}$ gets and $\mathrm{B} \mathrm{gets} \frac{1}{4}$ of what $\mathrm{C}$ gets, $\mathrm{B}$'s share is:

The price of $2$ sarees and $4$ shirts is $\mathrm{Rs}.1600$. With the same money one can buy $1$ sarees and $6$ shirts. If one wants to buy $12$ shirts, how much shall he have to pay?

David gets on the elevator at the ${11}^{th }$floor of a building and rides up at the rate of $57$floors per minute. At the same time, Albert gets on an elevator on the ${51}^{st }$floor of the same building and rides down at the rate of $63$floors per minute. If they continue traveling at these rates, then at which floor will their paths cross?

A man has some hens and cows, If the number of heads be $48$ and the number of feet equals $140$, then the number of hens will be:

If $a-b=3$ and $a^2+b^2=29$, find the value of $ab$.

There are two examination rooms A and B. If $10$ Students are sent from A to B, then the number of students in each room is the same. If $20$ Candidates are sent from B to A, then the number of students in A is double the number of students in B. The number of students in room A is:

$\frac{{\left(469+174\right)}^2 - {\left(469-174\right)}^2}{469\times 174}=?$

The price of $10$chairs is equal to that of $4$tables. The price of $15$chairs and $2$tables together is $Rs.4000$, The total price of $12$chairs and $3$tables is :

A man has $Rs. 480$ in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has?