M L Aggarwal Solutions for Exercise 1: Exercise 7.1

Find the compounded ratio of $\left(a-b\right):\left(a+b\right), {\left(a+b\right)}^2:\left(a^2+b^2\right)$ and $\left(a^4-b^4\right):{\left(a^2-b^2\right)}^2$.

Find the triplicate ratio of $\frac{1}{2}:\frac{1}{3}$.

If $\mathrm{A}:\mathrm{B}=\frac{1}{4}:\frac{1}{5}$and $\mathrm{B}:\mathrm{C}=\frac{1}{7}:\frac{1}{6}$. Find $A:B:C$.

If $\left(4x^2+xy\right) : \left(3xy-y^2\right)=12 : 5$, find $\left(x+2y\right) : \left(2x+y\right)$

If $(\mathrm{x}+2 \mathrm{y}):(2 \mathrm{x}-\mathrm{y})$ is equal to the duplicate ratio of $3: 2,$find $\mathrm{x}: \mathrm{y}.$

The income of a man is increased in the ratio $10:11$. If the increase in his income is $₹600$ per month, find his new income in $₹$

A certain sum was divided among $\mathrm{A},\mathrm{B},\mathrm{C}$ in the ratio $7: 5: 4$. If $\mathrm{B}$ got $₹500$ more than $\mathrm{C}$, find the total sum divided in $₹$.

In class $\mathrm{X}$ of a school, the ratio of the number of boys to that of the girls is $4 : 3$. If there were $20$ more boys and $12$ less girls, then the ratio would have been $2: 1$. How many students were there in the class?