Arithmetic Questions

The current population of a town is $120000$. If the population increases by $10\%$ every year, then the population of the town after three years will be

The production of scooters rose to $48400$ from $40000$. If the rate of growth is $10\%$, then the time required is

Amal invests $\frac{1}{4}$ of his capital at $8\%$ p.a., $\frac{1}{5}$ at $10\%$ p.a., and the remainder at $7\%$ p.a. If his total annual income from interest is $\text{Rs. }628$, then his total capital is

In a joint business, the ratio of the capitals of three friends was $\frac{1}{2}:\frac{1}{3}:\frac{1}{4}$. After $4$ months, the first friend withdrew half of his capital and $8$ months thereafter, $\text{Rs. }2024$ was recorded as their total profit. What was the share of profit of the first friend?

Sneha wants to buy a piece of furniture worth $\text{Rs. }12,500$. She gets a discount of $10\%$ on it. After getting the discount, she pays $18\%$ GST. Find the total amount she will have to pay for the furniture.

The ratio of syrup and water in $30$ litre of a mixture is $1:5$, then the amount of water required to mix to make the ratio $1:6$ is:

A merchant purchases $11$ toys for Rs. $10$ and sells $10$ toys for Rs. $11$. His profit percentage is:

The income of Priya is $40\%$ higher than that of Liza and the income of Disha is $20\%$ less than that of Liza. Income of Priya is higher than income of Disha by:

Average age of $8$ sons of a family is $12$ years. Average age of the sons together with their parents is $21$ years. If the father is older than the mother by $8$ years, then the age of the mother is:

A man buys two types of oranges equal in number, one at $5$ for a rupee and the other at $3$ for a rupee, and sells the entire lot at $6$ for $\text{Rs. }2$. His gain or loss percent is:

Barun invests $\text{Rs. }5000$ for a year and Tarun joins him with $\text{Rs. }8000$ after six months. After the year they receive a return of $\text{Rs. }4500$, then Tarun's share is:

Rohit sold two books at $\text{Rs. }60$ each. On one he gains $20\%$ and on the other loses $20\%$. Then he made:

If a sum of money doubles itself at compound interest in $12$ years, in how many years will it become four times?

An article is sold at Rs. $972$, yielding a profit of $8\%$. If it is sold at Rs. $872$, then there is a loss of:

Avishek sells a book at a profit of $20\%$. If he had bought it at $20\%$ less and sold it for $\text{Rs. }18$ less, he would have gained $25\%$. The cost price of the book is:

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

Choose the two correct numbers in the '.' marked places of the multiplication below.



```
. 7 . 9
x 5
---------
3 3 9 4 5

```

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:

$A$ 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:

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?

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.

A plot of $640\text{sq ft}$ is available at the rate of $\text{Rs. }4,600$ per $\text{sq ft}$. If $30\%$ of the total cost of the plot is to be paid for booking the plot, how much is the booking amount?

Income of X is 25% more than that of the income of Y. What percent is Y's income less than that of X's income?

If an amount of $\text{Rs. }84,105$ is distributed equally amongst $35$ children, how much amount would each child get?

Mohan takes $6\text{ hours}$ to do a job and Laltu takes $10\text{ hours}$ to do the same job. How long will it take if Mohan and Laltu work together on the same job?

A building which is $64\text{ feet}$ high casts a shadow of length $96\text{ feet}$. Under similar conditions, find the height of a telephone tower which casts a shadow of length $180\text{ feet}$.

Out of $1500$ students, $480$ are enrolled in NCC. What percentage of students are not enrolled in NCC?

Total price of $6$ shirts and $7$ trousers is $\text{Rs. }4,130$ while that of $4$ shirts and $9$ trousers is $\text{Rs. }4,270$. Find out the price of $3$ shirts.

There are $100$ questions in a question paper, each carrying $2$ marks. There is a negative marking of $1$ mark deducted for each question answered incorrectly. A student answering all the questions got $80$ marks. Find the number of questions correctly answered by him.

The salary of Anup is $30\%$ more than that of Barun. By what percentage is the salary of Barun less than that of Anup?

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

A man won $\text{Rs. }60,000$ in a lottery. $35\%$ of the money was taken by the Government as a tax. How much money does he actually receive?

Due to rotten fish, a fish trader is forced to sell at a $10\%$ loss. If the purchase value (Cost Price) is $\text{Rs. }250$, the selling price will be:

Due to some error in the weighing machine, Aahana's weight was shown as $72\text{kg}$ against the actual value of $80\text{kg}$. The percentage error is:

A number $P$ is greater than $Q$ by $60\%$ and greater than $R$ by $30\%$. What is the ratio of $Q$ and $R$?

A clock strikes one at $1\text{ o’clock}$, twice at $2\text{ o’clock}$, and so on up to twelve times at $12\text{ o’clock}$. How many times will the bell strike in the course of $2$ days?

Two pipes can fill a cistern in $20\text{ minutes}$ and $30\text{ minutes}$ respectively. If both pipes are opened simultaneously, after how many minutes must the first pipe be turned off so that the cistern gets completely filled in exactly $10\text{ minutes}$ more?

A bought an item for ₹1,100 and sold it to B at a loss of 5%. B sold the item to C at a profit of k% for ₹1,254. Find the value of k.

The average of five numbers is 30. If one number is excluded, the average becomes 31. What is the excluded number?

A certain sum amounts to ₹12,456 in 3
2
1
​
years at 8.5% p.a. simple interest. What will be the simple interest on the same sum in 6
4
1
​
years at the same rate of interest?

Anju sold an article to her friend Rakesh at 14% loss. If Rakesh sold it for ₹2,537 and made a profit of 18%, then the original cost price (in ₹) of the article for Anju was:

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 175 m long train crosses a platform twice its length in 27 seconds. What is the speed (in km/h) of the train?

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?

₹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?

If the average of six consecutive odd natural numbers is 24, then what is the average of the four smaller numbers out of the six numbers?

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)?

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 man travels the first $200\text{km}$ of his journey at $80\text{km/h}$. Due to bad weather he travels the next $200\text{km}$ of his journey at $50\text{km/h}$. What is his average speed for the first $400\text{km}$ of his journey?

The population of a village increases by 6.25% every year. If the present population of the village is 4046, then what was its population 2 years ago?

There are six numbers whose average is 120. If the sixth number is one-fourth of the sum of the remaining five numbers, then the sixth number is:

A can finish one-third of a work in 5 days, and B can finish 50% of the same work in 15 days. If they work together, then in how many days will they finish 50% of the work?

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.

$57\%$ 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 $\text{₹}$)?

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.

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).

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

A merchant sells 195kg of wheat for ₹10,260 at a profit of ₹4.50 per kg of wheat. What is the cost price (in ₹, to the nearest integer) of 15kg of wheat?

The compound interest on $\text{Rs. }10,000$ in $2\frac{1}{2}$ years at $10\%$ per annum is:

The product of two numbers is $1320$ and their $\text{H.C.F.}$ is $6$. The $\text{L.C.M.}$ of the numbers is:

The average of 6 consecutive odd numbers is 64. Greatest of them is

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

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

Refer to the data table below and answer the following question:
Quantity of stock Average Cost (Rs)
Mobile Phones: 89 12000
Cameras: 69 19000
TVs: 96 32000
Refrigerators: 40 42000
ACs: 94 25000
What is the value of the total stock (in lakh rupees)?

The bar graph shows the number of SUVs of different brands sold by a dealer in a month. Study the diagram and answer the following question.If the average price of a SUV sold by the dealer is $\text{Rs }8\text{ lakhs}$, then what is the sales (in $\text{Rs lakhs}$) of all the SUVs sold by the dealer in the month?

The difference between simple interest on a certain sum at the rate of $8\%$ per annum for $18$ months and $24$ months is $\text{Rs }452$. What is the sum (in $\text{Rs}$)?

A public library has an average attendance of 410 on Sundays and 230 for the remaining days. The average attendance per day of a month of 30 days beginning with Sunday would be:

If 42÷3+k×3−22÷11+4=28, then the value of k is:

$\text{Rs. }6000$ is divided among $40$ boys and some girls so that each boy gets $\text{Rs. }100$ and each girl gets $\text{Rs. }250$, then the number of girls is:

The value of [33{(40×5)+(7×6)}÷11]+(23×15÷24) is:

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:

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 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?

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:

By selling a car for $\text{₹}6,400$, Mr. Rao lost $20\%$. Then the cost price of the car is:

A person can row $22\frac{1}{2}\text{km}$ an hour in still water and he finds that it takes him twice as long to row up as to row down the stream. The speed of the stream is:

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?