Proportional Reasoning-2

If the side of a square is tripled, its perimeter is _______.

If $5$ pipes are used to fill a tank in $1$ hour, how long will $1$ pipe take to fill the same tank?

If $x$ and $y$ are directly proportional and $x=4, y=12$, find $x$ when $y=18$.

A model of a ship is made to a scale of $1:200$. If the length of the model is $4$ cm, what is the actual length of the ship in meters?

In a blueprint of a house, $1\text{ cm}$ represents $3\text{ metres}$. If a room is $4\text{ cm}$ long on the blueprint, what is its actual length?

If 8 pipes take 60 minutes to fill a pool, how much time will 10 pipes take to fill the same pool?

A car travels $60\text{ km}$ in 45 minutes. At the same speed, how many kilometres will it travel in one hour?

If 56 men can do a piece of work in 42 days, how many men will complete the same work in 14 days?

If $x$ and $y$ vary inversely, and $x$ is doubled, what happens to the value of $y$?

The cost of 27 kg of sugar is $\$621$. How many kilograms of sugar can be bought for $\$1518$?

A scale is $1\text{ cm} = 100\text{ m}$. What distance on the map represents $1\text{ km}$?

On a map of scale $1:30,000$, what map distance represents $900\text{ m}$?

Actual distance is $400\text{ m}$ and map distance is $8\text{ cm}$. What is the scale?

If the scale is $1:50,000$ and map distance is $10\text{ cm}$, find the actual distance in kilometers.

If the scale of a map is $1:30,000$, and the actual distance is $4.5\text{ km}$, how many centimeters is this on the map?

A path is $75\text{ m}$ long. If it is drawn as $15\text{ cm}$ on a plan, what is the scale ratio?

If the distance on a map is $2.5\text{ cm}$ and the scale is $1:1,000,000$, what is the actual distance in kilometers?

If a $100 \text{ km}$ highway is represented by a line of $20 \text{ cm}$ on a map, what is the scale of the map?

The scale of a map is $1:50,000$. An actual area of $2 \text{ km}^2$ is represented on the map. Find the map area in $\text{cm}^2$.

A map scale is $1:200,000$. A circular race track has an actual diameter of $1.4 \text{ km}$. What is the circumference of the track on the map in centimeters? (Use $\pi = 22/7$)

The ratio of three numbers is $1:2:5$. If the sum of the first two numbers is $15$, what is the third number?

If $A:B:C = 2:3:4$, what is the value of $(A+B):C$?

The ratio of the length, breadth, and height of a room is $3:2:1$. If the height is $4\text{ m}$, find the length of the room.

If $x:y:z = 10:20:30$, what is $y$ when $x+y+z = 6$?

The ratio of the incomes of two persons is $9:7$ and the ratio of their expenditures is $4:3$. If each of them saves $\text{Rs } 2000$ per month, find their monthly incomes.

If $a/b = 4/5$ and $b/c = 15/16$, find the value of $(c^2 - a^2)/(c^2 + a^2)$.

The ratio of boys to girls in a school is $7:5$. If there are $2400$ students in total, how many more boys are there than girls?

A certain amount was divided between $A, B,$ and $C$ in the ratio $2:3:4$. If $B$ received $Rs. 150$, find the total amount distributed.

If $x:y:z = 1:2:3$ and $x^2 + y^2 + z^2 = 224$, find the value of $x+y+z$.

The ratio of the monthly incomes of $A$ and $B$ is $5:4$ and their monthly expenditures are in the ratio $7:5$. If each saves $Rs. 3000$ per month, find the monthly income of $A$.

Divide $80$ in the ratio $3:5$. What is the smaller part?

Divide $21$ in the ratio $4:3$. What is the value of the larger part?

Divide $90$ in the ratio $4:5$. What is the larger part?

Divide $180$ in the ratio $2:7$. What is the smaller part?

Divide $₹1,000$ in the ratio $1:4$. What is the difference between the two parts?

The ratio of the number of $₹1$ coins to $₹2$ coins in a bag is $4:5$. If there are $180$ coins in total, find the total value of money in the bag.

The ratio of copper to tin in bronze is $9:1$. If a bronze statue weighs $50$ kg, find the weight of tin in it.

Gold is $19$ times as heavy as water and copper is $9$ times as heavy as water. In what ratio should these be mixed to get an alloy $15$ times as heavy as water?

If $A:B = 2:3$, $B:C = 4:5$ and $C:D = 6:7$, divide Rs $1860$ among $A, B, C$ and $D$. What is the share of $D$?

The ratio of the weights of two persons $A$ and $B$ is $3:5$. $A$'s weight increases by $20\%$ and the total weight of $A$ and $B$ together becomes $132$ kg, with an overall increase of $10\%$. What is the percentage increase in $B$'s weight?

If a person types $400$ words in $10$ minutes, how many words can he type in $1$ hour at the same speed?

If $x = 2y$, then $x$ and $y$ are in:

In a pie chart, a sector of $60^{\circ}$ represents what percentage of the data (rounded)?

If the weight of $12$ sheets of thick paper is $40$ grams, how many sheets would weigh $1$ kg ($1000$ grams)?

A pie chart showing transportation modes has a $40\%$ sector for 'Bus' and a $90^\circ$ sector for 'Car'. Which mode is more popular?

In a pie chart of a class's grades, $1/3$ students got 'A', $1/4$ got 'B', and the rest got 'C'. What is the central angle for Grade 'C'?

If the difference between two central angles in a pie chart is $36^\circ$, and their sum is $100^\circ$, find the larger angle.

In a pie chart, the difference between the angles of two sectors is $36^\circ$. These two sectors together represent $50\%$ of the data. Find the angle of the larger sector among the two.

A tap fills a cylindrical tank in $12$ hours. If the radius of the tank is doubled and the height is halved, how many hours will the same tap take to fill the new tank?

If $x$ and $y$ are in inverse proportion, and $x_1 y_1 = 60$, find $y_2$ if $x_2$ is the positive square root of $144$.

If $x$ and $y$ are in inverse proportion and $x = 4$ when $y = 5$, what is the constant of variation $k$?

4 people take 6 hours to clean a park. How many hours will it take 3 people to clean the same park?

If the time taken to complete a journey is inversely proportional to the speed, and speed is halved, the time taken will be:

If $x$ varies inversely with $y$, and $x = 25$ when $y = 4$, find $x$ when $y = 10$.

If $x$ and $y$ vary inversely such that $x y = 48$, what is the new value of $y$ if $x$ is increased from 6 to 12?

4 pipes can fill a tank in 1 hour 20 minutes. How long will 5 pipes of the same type take to fill the same tank?

If $x$ and $y$ vary inversely, and $x = 100$ when $y = 2$, what is $x$ when $y = 50$?

If $x$ varies inversely as $(y^2 - 1)$ and $x = 24$ when $y = 3$, find $x$ when $y = 5$.

1200 soldiers in a fort had enough food for 28 days. After 4 days, some soldiers were sent to another fort and thus the food lasted for 32 more days. How many soldiers left the fort?

If 15 workers can build a wall in 48 hours, how many workers will be required to do the same work in 30 hours?