Arithmetic Questions

At what rate of simple interest will a sum of ₹4,500 amount to ₹5,310 after 4 years?

Simran gets a discount of 20% on an oven whose price is ₹3,200. Since she pays cash, she gets an additional 5% discount too. How much does she pay?

Anil took some loan on simple interest at a certain rate and paid ₹12,800 as interest after 2 years. His friend Sumit also borrowed the same sum on compound interest for the same period and same rate of interest compounded annually and paid ₹704 more interest than that paid by Anil. What is the rate of interest per annum?

A trader lists his articles 26% above the cost price and allows a discount of 15% on every article. What is his gain percentage?

Yusuf purchased an item for ₹5,500 and sold it at a profit of 15%. From that amount, he purchased another item and sold it at 12% profit. What is his overall gain?

A can do a work in 20 days and B in 50 days. If they work on it together for 5 days, then what fraction of work is left?

A profit of $25\%$ is made by selling an article for $\text{Rs. }30$. If the article were sold for $\text{Rs. }33.60$, what would be the profit percentage?

Rajeev sells a machine for Rs 55 lakhs at a loss. Had he sold it for Rs 67 lakh, his gain would have been 5 times the former loss. Find the cost price of the machine.

The bus fare between two cities is increased in the ratio 5:11. Find the increase in the fare, if the original fare is Rs. 275.

Ticket for an adult is Rs 1600 and a child is Rs 600. One child goes free with two adults. If a group has 17 adults and 7 children, what is the discount the group gets?

A bank offers 5% compound interest per half year. A customer deposits Rs. 6400 each on 1st January and 1st July of a year. At the end of the year, the amount he would have gained by way of interest is:

By increasing the price of an entry ticket to a fair in the ratio 9:13, the number of visitors to the fair has decreased in the ratio 7:4. In what ratio has the total collection increased or decreased?

If Ram walks at the speed of $3\text{km/hr}$, then he reaches his school $6$ minutes late, but if he walks at the speed of $4\text{km/hr}$, then he reaches $4$ minutes before the scheduled time. What is the distance (in $\text{cm}$) of his school from his house?

Mandar works 3 times as fast as Samarth. If Samarth can complete a job alone in 28 days, then in how many days can they together finish the job?

A shopkeeper wants to earn $33\%$ profit on an article after offering a $30\%$ discount. By how much percentage more should he mark the price of his article above the cost price?

Mohit and Anshu invested some money in a business in the ratio $8:15$ respectively. After $9$ months Mohit withdraws his capital. If they receive profits in the ratio $4:5$, then for how many months did Anshu invest in the business?

If a certain sum of money at 5% per annum simple interest amounts to ₹810 in 2
2
1
​
years, then the certain sum is:

The ratio of two numbers is $2:3$. If the sum of both numbers is $75$, then what is the larger number among both the numbers?

A tap can fill a tank in 8 hrs. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely?

A shopkeeper charges his customer 23% more than the cost price. If a customer paid ₹30,135 for a dining table, then find its original price (in ₹).

The average weight of 4 persons is increased by 14kg when one of them whose weight is 55kg, is replaced by another person. What is the weight (in kg) of the new person?

45% of Samita's monthly income is equal to 63% of Anil's monthly income. If Samita's monthly income is ₹84,000, what is Anil's monthly income (in ₹)?

Sachin purchases a watch from a dealer at some price and sells it at 20% profit. The next day he purchases the same watch and marks up the price by 75% and offers a discount of 30%. What is the change in the percentage in the profit that Sachin receives on day 2?

Manoj earned ₹6,075 as simple interest on a certain sum at 9% per annum after 5 years. Find the sum invested by him.

The pass percentage of an examination is $20\%$. If a student who got $250\text{marks}$ failed by $24\text{marks}$, what are the maximum marks of the examination?

If $3$ mangoes are sold for the cost price of $4$ mangoes, then the profit is

A recipe requires sugar and flour in the ratio of $1:4$ respectively. If you want $2$ cups of sugar, then how many cups of flour are required?

A farmer covered a total distance of $70\text{km}$ in $10\text{hours}$. He travelled part of the distance on foot at a speed of $5\text{km/h}$ and the remaining distance by bicycle at a speed of $10\text{km/h}$. Find the distance travelled on foot.

The sum of three positive numbers is 339. If the ratio of the first number to the second number is 3:7, and that of the second number to the third number is 5:9, then the second number is:

Evaluate:
$5\frac{3}{5}-1\frac{2}{6}-3\frac{9}{9}-3\frac{2}{12}$

As per agreement with a bank, a businessman had to refund a loan in some equal installments without interest. After paying 18 installments he found that 60% of his loan was refunded. How many installments were there in the agreement?

A and B start a business together. A invests ₹ $4,000$ and B invests ₹ $6,000$. At the end of one year, they earn a total profit of ₹ $5,000$. Find A's share of the profit.

A man walked at a speed of 9km/h from point A to B and came back from point B to A at a speed of 15km/h. The ratio of the time taken by the man in walking from B to A to that from A to B was:

If $A=400$ and $B=600$, then $A$ is how much percentage less than $B$?

A wristwatch is sold for ₹2,700 at a loss of 10%. What is the cost price of the wristwatch?

If 6 people are required to complete a work in 1 hour 20 minutes, then how long will only 5 people take to complete the same work?

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 can paint a 2.5ft
2
of a wall in 5 minutes. How much ft
2
of the wall will he paint in 6 hours?

A train covers 40km between two stations in 45 minutes. It covers another 30km in 30 minutes and the remaining 20km in 15 minutes. Find the average speed of the train in the whole journey.

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 $N$.

The time taken by R to cover 45km is 1.2 hours. In how many seconds will he cover 400 metres?

A shopkeeper offers a cash discount of ₹275 first and then three successive discounts of 10%, 8% and 5% on the sale of a laptop. If the marked price of the laptop is ₹85,275, find its price for a customer.

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 ratio of the cost price of an article to its selling price is 432:612. The profit percentage (rounded off to 2 decimal places) on it is:

Dixit covers a certain distance by car, driving at the speed of 28km/h and he returns to the starting point riding on a scooter at the speed of 36km/h. Find the average speed (in km/h) for the whole journey.

Two containers of equal capacity are full of mixture of milk and water. In the first, the ratio of milk to water is 3:7 and in the second it is 7:9. Now both the mixtures are mixed in a bigger container. What is the resulting ratio of milk to water?

An amusement park gives an offer to its customers that one person will be given free entry with four other people. What is the effective percentage discount given by the amusement park?

A car covers a distance of 45.6km in 2.4 litres of petrol. How much distance will it cover in 1 litre of petrol?

The compound interest on a certain sum of money for $2$ years at $5\%$ is $\text{Rs. }3280$. Then the sum is:

A loan of ₹2,550 is to be paid back in two equal half-yearly instalments. How much is each instalment if the interest is compounded half-yearly at 8% p.a.?

A man can row 9km/h in still water. If the river is running at 4km/h, it takes 8 hours more in upstream than to go downstream for the same distance. How far is the place?

A and B invested money in a business in the ratio of 2:3. If 10% of the total profit goes to charity and A's share in the profit is ₹4,500, then what is the total profit?

The average of $30$ numbers is $1.2$. The average of the first $20$ of them is $1.1$ and that of the next $9$ is $1$. Then the last number is:

A solution of $100\text{L}$ contains $75\%$ water and the rest liquid sugar. How much liquid sugar must be added to make it a $50\%$ sugar solution?

A boat takes 2 hours to go 16 km downstream; while covering the same distance upstream, it takes 4 hours. What is the speed of the current?

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

$A$ 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?

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?

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

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?

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 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:

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 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?

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

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

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

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?

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?

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

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

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?

₹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?

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?

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 $\text{Rs. }10,800$?

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?

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

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.

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?

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

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?

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

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 $\text{Rs. }1,050$?

The present ages of Jeevan and Manish are 58 years and 20 years, respectively. Find the sum of their ages 4 years ago.

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

A student randomly picks a day from the days of a week. What is the probability that the selected day starts with the letter 'W' or 'S' ?

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)?

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

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?

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:

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 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:

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?

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.

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 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?

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?