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?

A sum of $\mathrm{Rs}. 4,27,000$ is to be divided among three friends Parbhat, Kuldip and Sandeep such that $3$ times Parbhat's share, $4$ times Kuldip's share and $7$ times Sandeep's share are all equal. The share of Sandeep is $\mathrm{Rs}.$:

$\mathrm{A}$ fires $5$ shots to $\mathrm{B}$'s $3$ but $\mathrm{A}$ kills only once in $3$ shots while $\mathrm{B}$ kills once in $2$ shots. When $\mathrm{B}$ has missed $27$ times, $\mathrm{A}$ has killed:

The price of $3$ tables and $4$ chairs is $\mathrm{Rs}. 3300.$ With the same money one can buy $2$ tables and $10$ chairs. If one wants to buy $1$ table and $1$ chair, how much does he need to pay?

If$2: 3$ and$2: x : 4: 8$ the value of$y$ is:

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 $B$.

If $a: b = c:d$, and $e:f=g:h$, then $(ae + bf): (ae - bf) = ?$

If $a: b = c:d$, and $e:f=g:h$, then $(ae + bf): (ae - bf) = ?$

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 $D$?