Arithmetic Questions

Paulson usually leaves his home everyday at 8:15 am and travels at a certain speed to reach office on time. One day he travelled at $\frac{3}{5}$ of the usual speed and hence arrived 45 minutes late. How much time does Paulson usually take to reach his office?

The average marks obtained by a group of $25$ students was $24$. One student left the group as a result of which the average of the remaining students rose to $25$. But another student came in as a result of which the average marks of the group dropped a bit and became $24.8$. What was the average marks obtained by the student who left and the one who joined later?

Abhay and Shreya can individually complete a piece of work in $42\text{ mins}$ and $70\text{ mins}$ respectively. Starting with Abhay, they work alternately for a minute each till the work is completed, with only the one working at the end being allowed to work for less than a minute in the final turn. How long will it take the duo to complete the work?

Which of the numbers given below is exactly divisible by 12?

Rishika and Akash invested some money each in a partnership. Rishika had invested $\text{₹}1875$ and took home $\text{₹}225$ as her share from the profit made. If Akash took home $\text{₹}288$ as his share of the profit made, then how much had Akash invested?

$78\%$ of $450$ is:

By selling an item for $\text{₹}198$, Souvik made a loss of $12\%$. By how much should he have raised the price to make a profit of $8\%$?

If $x:4::y:5$, then $x:y$ is:

If a rope $154\text{ m}$ long is divided in the ratio $9:5$, then the length of the shorter piece (in $\text{m}$) is:

Raksha can complete a piece of work in $12\text{ days}$ while Esther takes $20\text{ days}$ to complete the work. They start working together but Raksha leaves $4\text{ days}$ before the work gets over. For how many days does Esther work?

The speed of a boat along and against the current is $22\text{km/hr}$ and $18\text{km/hr}$ respectively. Then the speed of the current (in $\text{km/hr}$) is:

If the selling price is tripled and cost price doubled, the profit would become $65\%$. What is the present profit (in $\%$ )?