Proportion

In a group of buffaloes and ducks, the number of legs are $24$more than twice the number of heads. What is the number of buffaloes in the group?

The ratio of successful and unsuccessful examinees in an examination in a school is $6 : 1$. The ratio would have been $9 : 1$, if $6$ more examinees had been successful. What is the total number of examinees?

The monthly incomes of $A$ and $B$ are in the ratio $4 : 3$. Each of them saves $₹600$. If the ratio of their expenditure is $3 : 2$, then what is the monthly income of $A$?

A bought $14$ apples and oranges and spend $₹40$ for the apples and $₹16$ for oranges. The average cost of $1$ apple is $1.75$ times the cost of $1$ orange. Find the number of apples?

The height of Rakesh is in the same proportion as the square root of his age. What will be the height of Rakesh after$7$ years, if he is $4 \mathrm{ft}$ tall at the age of $9$ years?

In a house, there are six $40-\mathrm{W}$ lamps which are on for $5 \mathrm{hours}$ a day and three $80-\mathrm{W}$ fans that are on for $10 \mathrm{hours}$ a day. If electricity costs $₹2 \mathrm{per} \mathrm{KWhr}$. What is the monthly electricity bill ?

A juice centre requires $35 \mathrm{dozen}$ guavas for $28 \mathrm{days}$. How many dozen guavas will it require for $36 \mathrm{days}$?

A sum of $₹671$ is divided among $A$, $B$, $C$ such that if there shares be increased by $₹3$, $₹7$ and $₹9$ respectively. The resulting share shall be in the ratio $1:2:3$, Find the share of $B$.

The average age of a woman and her daughter is $19 \mathrm{years}$. The ratio of their ages is $16:3$. What is the age of the daughter?

If p is the third proportional to $3, 9,$ then what is the fourth proportional to $6, p, 4?$

If $x$ is subtracted from each of $24, 40, 33 \mathrm{and} 57$, the numbers, so obtained are in proportion. The ratio of $\left(5x+12\right)$ to $\left(4x+15\right)$ is_____.

Two numbers are in the ratio $2 : 3$. If $5$ is subtracted from the first number and six is added to the second number, then the ratio becomes $5 : 12$. What would the ratio become when eight is added to each number?

The ratio of two numbers $A$ and $B$ is $5 : 8$. If $5$ is added to each of $A$ and $B$, then the ratio becomes $2 : 3$, then find the difference in $A$ and $B$.

A sum of $₹6342$ is divided amongst $A, B, C$ and $D$ in the ratio $3 : 4 : 8 : 6$. What is the difference between the shares of $B$ and $D$?

A sum of $₹31866$ is divided between $A, B$ and $C$ such that the ratio of shares of $A$ and $B$ is $9 : 8$ and that of $A$ and $C$ is $4 : 5$, Find the share (in $₹$) of $B$.

A sports-goods shop has tennis balls of $3$ colours - red, green and white. The number of white balls is $60\%$ more than the number of red balls and the number of green balls is $12.5\%$  less than the number of white balls. If the total number of balls is $120$, then how many green balls are there?

Hridaya opened her piggy bank and found coins of denominations $₹1, ₹2, ₹5$ and $₹10$ in the ratio $10 : 5 : 2 : 1$. If there are $72$ coins in all, then how much money (in $₹$) was there in the piggy bank in the form of coins?

The ratio of two numbers $A$ and $B$ is $5 : 8$. If $5$ is added to each of $A$ and $B$, then the ratio of $A$ and $B$ becomes $2 : 3$. Find the sum of $A$ and $B$.

In a proportion, the product of the first and fourth terms is $70$ and that of the second and third term is $3.5y$. The value of $y$ is __________.

When $x$ is subtracted from each of $19, 28, 55$ and $91$, the numbers so obtained in this order are in proportion, What is the value of $x$?