Direct Proportion

A machine in a Pepsi factory fills $580$ bottles in $5$ hours. How many bottles will it fill in $4$ hours?

If the cost of $9$ books is $₹180$, how much will $15$ books cost?

A machine in a Pepsi factory fills $680$ bottles in $5$ hours. How many bottles will it fill in $3$ hours?

If $x_1=5, y_1=7.5, x_2=7.5$ then find $y_2$ if $x$ and $y$ vary directly.

If the cost of $20$ books is $₹180$, how much will $15$ books cost?

Ashwani has a road map with a scale of $1 \mathrm{cm}=24 \mathrm{km}$

Which mathematical concept is used here? Why we use road map?

Ashwani has a road map with a scale of $1 \mathrm{cm}=24 \mathrm{km}$

If the distance on the road is $k \mathrm{km}$, if corresponding distance covered on map is $11 \mathrm{cm}$. Find the value of $k$.

Ashwani has a road map with a scale of $1 \mathrm{cm}=24 \mathrm{km}$. The distance covered in the map is $k \mathrm{cm}$, if she drives on a road for $168 \mathrm{km}$, then find the value of $k.$

The students of Anju's class sold posters to raise money. Anju wanted to apply the concept of variation for finding the amount of money her class would make for different numbers of posters sold. She knew that they could raise $₹250$ for every $60$ posters sold.

If Anju's class raise exactly $₹2000$, then how many posters would they need to sell?

The students of Anju's class sold posters to raise money. Anju wanted to apply the concept of variation for finding the amount of money her class would make for different numbers of posters sold. She knew that they could raise $₹250$ for every $60$ posters sold.

How much money would Anju's class make for selling $102$ posters? Express your answer in $₹$)

Here is a keyboard of a harmonium.

Why do we use musical instruments in daily life? What is the value depicted from it?

A car is travelling $60 \mathrm{km}$ in $2 \mathrm{h}$. If the distance travelled by the car in $6 \mathrm{h}$ is $k \mathrm{km}$, if the speed remains constant. Find the value of $k$.

Amrita takes $18 \mathrm{h}$ to travel $720 \mathrm{km}$. The time taken by her to travel $360 \mathrm{km}$ is $k \mathrm{h}$. If speed of Amrita is constant, then find the value of $k.$

If $18 \mathrm{km}/\mathrm{h} = k$ $\mathrm{m}/\mathrm{s}$, then find the value of $k.$

If $1 \mathrm{euro}=₹82$, then $x \mathrm{euros}$ can be bought for $₹1640$. What is the value of $x$?

$1 \mathrm{inch}=2.5 \mathrm{cm}$, if there are $30 \mathrm{cm}$ in $k$ $\mathrm{inch}$ then find the value of $k.$

The variables $x$ and $y$ in the given table, vary directly. Find the value of $a+b+c+d$.

Find the values of $x$ if the terms is in proportion.

$3:4::x:8$