Ratio, Proportion and Variation

If $a:b=6:9$ and $b:c=4:7$, find $a:b:c.$

If$A : B = 8 : 15, B : C = 5 : 8$and $C : D = 4 : 5$, then $A : D$is equal to:

The ratio of the number of students appearing for the examination in $1998$ in the states, A, B and C was $3 : 5 : 6$. Next year if the number of students in these states increases by $20\%, 10\%$ and $20\%$ respectively, the ratio in states A and C would be $1 : 2$. Find the no. of students who appeared for the exam in the state A in $1998$.

If $A : B : C = 2 : 3 : 4$, then $A/B : B/C : C/A$ is equal to :

If $2A = 3B = 4C$, then $A : B : C$ is

If $\frac{A }{3}= \frac{B}{4} = \frac{C}{5}$. then $A : B : C$is :

If $A:B=1:3; B:C=5:7; C:D=9:7$, Then $A:B:C:D$ is equal to _____.

If $a:b=\frac{2}{9}:\frac{1}{3}, b:c=\frac{2}{7}:\frac{5}{14}, d:c=\frac{7}{10}:\frac{3}{5}$ then $a:b:c:d$ is _________.

If there is a reduction in the number of workers in a factory in the ratio $15:11$ and an increment in their wages in the ratio $22:25$, then the ratio by which the total wages of the workers should be decreased is _____.

If $2A = 3B$and $4B = 5C$, then $A : C$ is :

Fourth proportion to $(12,18,6)$ is equal to the third proportion to $4, \mathrm{k}.$. What is the value of k ?

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?

A certain sum is divided among A, B, C and D such that the ratio of the shares is $A: B: C: D=4: 12: 30: 45$. If the difference between the shares of A and D is $₹5535$, then the total sum is______.

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 $B$.

The data given in the table shows the number of boys and girls enrolled in three different streams in a school over 5 years:

What is the ratio of the total number of boys in the year $2014$ to the total number of girls in the year $2020$?

The ratio of incomes of two persons $A$ and $B$ is $3:2$ and the ratio of their expenditure is $3:1$. If each of them manages to save $₹1000$, then the income of $A$ is

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 $D$?

Find the ratio between the fourth proportional of $12, 16, 6$ and the third proportional of $4, 6$.