arithmetic Questions

Priya lent $\text{Rs. }3,500$ to her friend at a simple interest rate of $6\%$ per annum. After how many years will the interest amount to $\text{Rs. }1,050$?

A mountaineer ascends $30$ feet at the start of each hour, then pauses to rest and slides back $20$ feet before beginning his climb again at the start of the next hour. If he starts his climb at $8:00\text{a.m.}$, at what time will he first reach a flag positioned $120$ feet above the ground?

The scores of a cricket team in five matches are given as $165,210,185,240,$ and $175$. If the team needs a combined average score of $200\text{ runs}$ across six matches to qualify, how many runs must it score in the sixth match?

A car travels the following distances on four consecutive days:
* Day 1: $120\text{km}$
* Day 2: $95\text{km}$
* Day 3: $145\text{km}$
* Day 4: $140\text{km}$

What is the average distance covered per day?

John invests $\text{Rs. }18,000$ in stocks and Sarah invests $\text{Rs. }1,00,000$ in stocks. What is the ratio of John's investment to Sarah's investment?

At $12\%$ simple interest per annum, Sunitha lent $\text{Rs. }4,000$ to Rohan for $3\text{ years}$ and $\text{Rs. }5,000$ to Priyanka for $2\text{ years}$. Calculate the total interest Sunitha earned from both loans.

In a mixture of milk and water, the ratio of milk to water is $5:2$. If the total mixture is $35\text{ litres}$, how many litres of milk does it contain?

A teacher records the test scores of five students in two different subjects. The scores are as follows:
* Maths: $78,85,92,88,76$
* Science: $82,79,91,87,84$

Calculate the average score for each subject.

If $\text{Rs. }1,500$ is invested at $5\%$ per annum compounded annually, what will be the total amount after $2\text{ years}$?

Two numbers are in the ratio $5:7$. If the larger number is $21$, what is the smaller number?

In a test, the marks obtained by $\text{E}$ is $30\%$ more than the marks obtained by $\text{F}$. If $\text{F}$ scored $20$ marks, how many marks did $\text{E}$ score?

The average age of a group of $8$ people is $20\text{years}$. One person leaves the group and the average age becomes $18\text{years}$. Find the age of the person who left.

A travelled for $3\text{hours}$ at a speed of $80\text{km/h}$ and then for $5\text{hours}$ at a speed of $120\text{km/h}$. What is the average speed of the journey?

Meena earns $\text{Rs. }9,000$ in a month by working $25\text{days}$. At the same rate, how many days must she work to earn $\text{Rs. }10,800$?

Sowmika and Rachana can complete a piece of work in $40\text{days}$ and $60\text{days}$ respectively. Sowmika starts the work alone, and after $4\text{days}$, Rachana joins her to complete the remaining work. In how many days will the entire work be completed?

A sum of $\text{Rs. }2,500$ is invested at $8\%$ per annum compounded annually. What will be the amount after $2\text{years}$?

A mixture contains alcohol and water in ratio $4:5$. If $10\text{litres}$ of water is added to $27\text{litres}$ of the mixture, find the new ratio of alcohol to water.

The average of $10$ consecutive odd numbers is $54$. Find the sum of the fifth and seventh numbers.