Arithmetic Questions

₹5,580 is divided among P, Q and R in the ratio of 7:11:13, respectively. What is the difference (in ₹) between the one-third of the largest share and two-fifth of the smallest?

By selling 80 notebooks, Amrita loses an amount equal to the selling price of 10 notebooks. What is her loss per cent (to the nearest integer)?

A man walking at three-fourth of his usual speed, reaches his office 4 minutes late. How much time (in minutes) does he usually take to reach his office?

There are green, red, and blue marbles in a bag. Their ratio is 5:4:6, respectively. If there are 135 marbles in the bag, what is the difference between the number of blue marbles and that of the red marbles?

A sum of money lent on interest, compounded semi-annually amounts to ₹54,000 in one year and to ₹65,340 in two years. What is the rate of interest per annum?

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?

If the speed of a boat moving against the current is $18\text{km/h}$, what is the speed of the stream if the boat's speed downstream is $50\%$ greater than its speed upstream?

A man's pension on retirement from service is equal to half the average salary during the last $3$ years of his service. His salary from 1-1-1983 is $\text{₹}380$ per month, with increment of $\text{₹}40$ due on 1-10-1983, 1-10-1984 and 1-10-1985. If he retires on 1-1-1986, what pension does he draw per month?

The batting average for $30$ innings of a cricket player is $40$ runs. His highest score exceeds his lowest score by $100$ runs. If these two innings are not included, the average of the remaining $28$ innings is $38$ runs. Then the lowest score of the player is:

A and B each can do a work in $75$ days. They began the work together but A left after some time and B completed the remaining work in $23$ days. After how many days of the start of the work did A leave?

If the cost of $6$ mangoes is $\text{₹}90$, what is the cost of $10$ mangoes?

C and B can do a work in $18$ days and $24$ days respectively. They worked together for $8$ days and then C left. In how many days did B finish the remaining work?

A sum of money is paid back in two annual instalments of $\text{₹}1,764$ each, allowing $5\%$ compound interest compounded annually. The sum borrowed was:

$A$ started a business with a capital of $\text{Rs. }1,12,000$. After $2$ months, $B$ joined the business with a capital of $\text{Rs. }80,000$, and after another $2$ months, $C$ joined the business with a capital of $\text{Rs. }72,000$. After $10$ months from the start of the business, $B$ withdraws $\text{Rs. }8,000$ and $C$ also withdraws $\text{Rs. }8,000$. If $B$ received $\text{Rs. }9,800$ as his share in the profit at the end of a year, then the total profit was:

A sum becomes $\text{Rs. }13,520$ in $2$ years at $4\%$ per annum compound interest. Then the original sum is:

The average marks of $28$ students in Mathematics was $5$. When $8$ students left the school, the average increased by $0.5$. What is the average of marks obtained by the students who left the school?

The amount will triple in $25$ years on simple interest. Find the rate of interest.

The average per day income of $A$, $B$ and $C$ is $\text{Rs. }45$. If the average per day income of $A$ and $B$ is $\text{Rs. }40$ and that of $B$ and $C$ is $\text{Rs. }43$, then the per day income of $B$ is:

After selling $17$ books for $\text{Rs. }720$, a shopkeeper says that he incurs a loss equal to the C.P. of $5$ books. Find the C.P. of a book.

If $70\%$ of a number is $0.35$, then find $120\%$ of that number.

A sum of money becomes three times at $5\%$ per annum simple interest. At what rate $\%$ will it become six times in the same time?

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):

A bus covers the first 80km at a speed of 40km/h. It covers the next 100km at a speed of 50km/h. What is its average speed?

A person covers a distance of 40km by bus in 70mins. After deboarding the bus, he took a rest for 40mins and covered another 20km by taxi in 40mins. Find his average speed for the whole journey.

Ram buys 13 balls for Rs. 390 and sells them at the rate of Rs. 33 per ball. Find his gain percentage.

P and Q can do a piece of work in 36days, Q and R can do it in 60days, and P and R can do it in 45days. When P, Q and R work together, how much work is finished by them in 5days?

The third proportional to 7
6
1
​
and 11 is:

On selling 2800 school bags, Anita earns a profit equal to the sale price of 420 school bags. What is the gain percentage that Anita earned?
Note: round off to two decimal places

The bodyweight of eight members of a club is recorded as 69kg, 63kg, 72kg, 76kg, 82kg, 93kg, 59kg, and 55kg. What is the average body weight of all the eight members?

6 men earn as much as 7 women, 2 women earn as much as 3 boys, 4 boys earn as much as 5 girls. If 5 girls earn Rs. 400 a week, how much does a man earn in a week?

A man can row a boat at 10km/h in still water. If the speed of the stream is 7km/h, what is the time taken to row a distance of 85km down the stream?

A container contains a mixture of milk and water in the ratio $7:5$. When $9\text{litres}$ of mixture is drawn off and the container is filled with water, the ratio of milk and water becomes $7:9$. How many litres of milk was contained by the container initially?

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 $(13.49+12.51)\times 13$.

At a college NSS camp, there is food provisions for 320 students for 38days. If 60 more students join the NSS camp on the first day itself, then for how many days will the provisions last?

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 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:

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?

$A$ and $B$ can do a work in $13$ days and $26$ days, respectively. If they work for a day alternately, starting with $A$, then in how many days will the work be completed?

Two cars run to a place at the speeds of $45\text{km/h}$ and $55\text{km/h}$, respectively. If the second car takes $40$ minutes less than the first for the journey, then what is the length of the journey (in $\text{km}$)?

A person borrowed $\text{₹}1760$ at $6\%$ per annum and $\text{₹}2240$ at $9\%$ per annum at simple interest for the same period. He had to pay $\text{₹}1536$ in all as interest. Find the time (in years).

In an election between two candidates, one got $60\%$ of the total valid votes. $25\%$ of the votes were invalid. If the total number of votes was $15,000$, then find the number of valid votes that the other candidate got.

Two numbers are in the ratio of $3:7$. If $11$ is subtracted from each, the ratio between the numbers becomes $7:20$. Find the smaller number.

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:

$57\%$ of Ranita’s weekly income is equal to $76\%$ of Bhaskar’s weekly income. If Ranita’s weekly income was reduced by $\text{₹}400$, while Bhaskar’s weekly income did not change, the ratio of the weekly incomes of Ranita and Bhaskar, respectively, would have been $6:5$. What is Bhaskar’s weekly income (in $\text{₹}$)?