Arithmetic Questions

A sum of money amounted to ₹ 720 in 2 years and ₹ 792 in 3 years when interest is compounded annually. The annual rate of interest, (in %) is:

In a bag there are coins of 25 paisa, 50 paisa and 1 rupee in the ratio of 3:4:5. If there are in all ₹ 31, then how many 1 rupee coins are there in the bag?

Two students appeared for an examination. One student who scored 20 marks more than the other, his score was 60% of the sum of their marks. What was his score?

120 men consume 720kg of rice in 30 days. In how many days can 90 men consume 270kg?

Excluding stoppages, the speed of a bus is 70kmph and including stoppages, it is 56kmph. For how many minutes does the bus stop per hour?

The cost price of 27 articles is same as the selling price of 18 articles. What is the profit percent?

The value of 64÷2×(9÷3)×3÷9−32 is:

A discount of 20% in the price of rice enables X to buy 5kg more rice for ₹ 100. What is the reduced price of rice per kg?

A train 400m long passes a pole in 20 seconds. What is the speed of the train?

A and B can together complete a task in 40 days. They worked together for 30 days and then B left. A finished the remaining task in next 22 days. In how many days A alone can finish the task?

An article was sold for ₹ 4,000. Had a discount of 10% was being offered, the profit would have been 20%. The cost price of the article was:

The value of 24÷4×(3+3)÷2 is:

A and B can complete a task in 40 days and 16 days respectively. A started the task alone and then after 12 days B joined him till the completion of the task. How long did the task last after B joined the task?

The ratio of the number of boys and girls in a college is 6:7. If the percentage increase in the number of boys and girls be 20% and 10% respectively, what will be the new ratio?

How much time will it take for an amount of ₹ 360 to yield ₹ 72 as interest at 5% p.a. of simple interest?

The average weight of 8 people increases by 2.5kg when a new person comes in place of one of them weighing 75kg. What is the weight of the new person?

Find the Least Common Multiple (LCM) of $62$, $53$ and $44$.

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?

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 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?

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:

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?

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

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?

Rahul's average score across three exams is $82$. In his fourth exam, he scores $94$. What is Rahul's new average score across all four exams?

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 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 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?

Find the principal amount when the Simple Interest (S.I.) is ₹ $1,800$, the rate of interest is $4\%$ per annum, and the time is $8\text{months}$.

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 ₹)?

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?

A shopkeeper buys $12$ chocolates for ₹ $6$. To gain a $20\%$ profit, how many chocolates should he sell for ₹ $6$?

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

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.?

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:

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

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

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 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?

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.

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

What number should replace "?" in the given equation?
$6515-2560+2880=?\times 5$

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.

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.

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.

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:

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?

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

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?

$A$ 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 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:

$57\%$ 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 $\text{₹}$)?

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.

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?

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.

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 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 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).

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 $\text{km}$)?

$A$ 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?

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?

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:

In an election between two candidates, 8% of the votes were invalid. The winning candidate got 60% of the total valid votes and won the election by 5888 votes. How many voters were registered?

The average weight of X and Y is 40kg. The average weight of Y and R is 62kg and the average weight of X and R is 56kg. The weight of X is:

A batsman in his 18
th
innings makes a score of 80 and thereby increases his average by 4. What is his average after the 18
th
innings?

An amount is distributed among 4 friends X,Y,Z,W in the ratio 5:2:4:3, respectively. If Z gets ₹1,000 more than W, then what is Y's share?

A sum of money is to be distributed among A,B,C,D in the ratio of 5:2:4:3. If A gets ₹1,000 more than D, then what is B's share?

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?

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?

A can finish as much work in 6 days as C can in 8 days. B can finish as much work in 6 days as C can in 4 days. How much time will B require to finish a work if A takes 54 days to finish it?

The difference between the compound interest and the simple interest on a certain sum at 10% per annum for 2 years is ₹1,200. Find the sum.

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:

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:

An AC can cool a hall in 10min, while an AC of another brand can cool the same hall in 15min. If both the ACs are switched on at the same time, then in how much time will they cool the hall?

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?

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:

If the selling price of a toy is
3
4
​
of its Cost Price, then the profit percentage 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?

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?

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

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

Two boys start from the same place walking at the speeds of 5.5km/h and 3.5km/h, respectively, in the same direction. What time will they take to be 8.8km apart?

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

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?

A man buys milk at ₹50 per litre and adds to it water equal to one-third of the milk. If he sells it at ₹60 per litre, then find his profit percentage.

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 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?

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.

₹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?

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?

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

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)?