Arithmetic Questions

A policeman chases a thief who is running at a speed of $7\text{km/h}$. The speed of the policeman is $12\text{km/h}$. If the thief is $280\text{meters}$ ahead of the policeman, then how much time will the policeman take to catch the thief?

A person borrowed ₹ $1,760$ at a simple interest rate of $6\%$ per annum and ₹ $2,240$ at a simple interest rate of $9\%$ per annum for the same time period. He had to pay a total of ₹ $1,536$ as interest. Find the time period (in years).

The cost price of 36 articles is equal to the selling price of $N$ articles. If the profit is $20\%$, then find the value of $N$.

A man can row $7.5\text{km}$ an hour in still water. He finds that it takes four times as much time to row upstream as it takes to row downstream. The speed of the stream is:

What annual instalment will discharge a debt of ₹ 10,192 due in 3 years at 10% simple interest?

The value of $30+180÷30\times 6-15-16-60÷3-15$ is:

The value of $3+2\times [7+(5+7)÷2]$ is equal to:

A jacket is marked for $₹2,500$. A customer pays $₹1,800$ for it. If the customer got a series of two discounts and the rate of the first discount is $10\%$, then the rate of the second discount is:

Find the value of $(13.49+12.51)\times 13$.

The strength of a school increases and decreases every alternate year by $15\%$. If it started with an increase in 2012, then the strength of the school in the beginning of 2015, as compared to that in 2012, had (correct to two decimal places):

In an election, the winner was supported by $46\%$ of all the voters in the list, and he got $410$ votes more than his only rival. $10\%$ of the voters on the voters' list did not cast their votes, and $60$ voters cast their ballot papers blank. How many voters were on the list?

Simplify the following expression:
$$5\times [14÷13\times \{13\times 14÷(14\times 14)\}]$$

Find the fourth proportion to $10$, $12$, and $15$.

A $12\text{litre}$ solution of acid and water contains $30\%$ acid. How much water (in litres) must be added to get a solution having $20\%$ acid?

A bus covers the first $50\text{km}$ of its journey in $40$ minutes and covers the remaining $75\text{km}$ in $40$ minutes. What is the average speed (in $\text{km/h}$) of the bus?

In a class, the numbers of boys and girls are in the ratio of $3:5$. What is the percentage of boys in the class?

On account of coronavirus, $5\%$ of the population of a village died. Out of the remaining population, $20\%$ fled due to panic. If the present population is $4655$, then what was the population of the village before the corona attack?

Ramanna purchased raw materials for a certain price to manufacture a product. However, owing to shortage of labour, $22.5\%$ of the raw materials could not be utilised and got wasted. $80\%$ of the cost of raw materials used was added as the cost of manufacturing. If Ramanna could sell his product at a price to earn an overall profit of $20\%$ after offering a discount of $20\%$, how many times of the total cost of the raw materials purchased was the marked price of the product?

A car covers $20\text{km}$ in the first quarter of an hour, $25\text{km}$ in the second quarter of that hour and $15\text{km}$ in the third quarter. The average speed of the car (in $\text{km/h}$) over the entire journey is: