Ratio and Proportion

What is the ratio of $1\text{ meter}$ to $1\text{ kilometer}$ in simplest form?

If $a:b = 1:2$, what is the value of the ratio $5a:b$?

What is the ratio of $4\text{ days}$ to the total number of days in the month of April?

What is the ratio of $250\text{ ml}$ to $2\text{ litres}$ in simplest form?

Find the ratio of $1\text{ decimetre}$ to $1\text{ millimetre}$ in simplest form.

The ratio of the base of a triangle to its height is $4:3$. If the base is $12\text{ cm}$, find its height.

Find the ratio of $1\text{ hour } 15\text{ minutes}$ to $2\text{ hours } 30\text{ minutes}$.

If $10\%$ of $x$ is the same as $20\%$ of $y$, then $x : y$ is:

A mixture of $729\text{ ml}$ contains milk and water in the ratio $7 : 2$. How much more water must be added to get a new mixture containing milk and water in the ratio $7 : 3$?

If $x : y = 3 : 2$, find the value of $(x^3 - y^3) : (x^3 + y^3)$.

If $14 : x = 2 : 1$, then $x$ is equal to:

If the numbers $20, 40, x,$ and $60$ are in proportion, find the value of $x$.

Solve for $x$ if $11 : x = 1 : 5$.

What is the product of the extremes in the proportion $2 : 5 = 6 : 15$?

If $5$ identical bags of wheat weigh $35$ kg, what is the weight of $12$ such bags?

Find the value of $x$ if $144, 12,$ and $x$ are in continued proportion.

If $2.5$ kg of rice costs ₹$150$, what is the cost of $4.5$ kg of rice?

Find the value of $m$ if $m, m+2, 5, 9$ are in proportion.

The mean proportional between $x$ and $y$ is $k$. If $x$ is doubled and $y$ is halved, the new mean proportional will be:

If $x : y = 5 : 8$, find the value of the ratio $(4x - 2y) : (7x - 3y)$.

If $4$ kg of sugar costs $₹160$, find the cost of $6$ kg of sugar.

The weight of $10$ identical metal rods is $200$ kg. What is the weight of $3$ rods?

If $5$ identical folders cost $₹150$, what is the cost of $12$ folders?

A car travels $180$ km in $3$ hours. How far will it travel in $2$ hours at the same speed?

If $4$ school bags cost $₹1600$, what is the cost of $9$ such bags?

If $10$ kg of fertilizer covers $400$ square feet, how many square feet can be covered by $25$ kg?

If $100$ envelopes cost $₹250$, how much will $40$ envelopes cost?

The weight of $18$ packets of biscuits is $4.5$ kg. Find the weight of $30$ such packets.

A person earns $₹ 4,200$ in $12$ days. How much will he earn in $25$ days?

If $2.5$ liters of milk costs $₹ 125$, what is the cost of $6$ liters of milk?