O P Malhotra, S K Gupta and, Anubhuti Gangal Solutions for Chapter: Ratio and Proportion, Exercise 3: Revision Exercise

Which of the following ratios is the largest.

If $\frac{a}{b} = \frac{2}{3}$ and $\frac{b}{c} = \frac{6}{8}$, then $c : a = 1 : 4$.

If $a, b, c$are in continued proportion, then $a^2$ = $bc.$

The ratio of Seema's height to her father's height is $6 : 11.$ Seema is $0.96 \mathrm{m}$ tall. If her father is $k \mathrm{m}$ tall then find $k$.

Find the value of $\mathrm{x}$ in proportion $1.2 : 3.9 : : 2 : \mathrm{x}$.

There are $30$ girls and $27$ more boys than girls in a school band. If $12$ more boys join the band, what will be the new ratio of the number of girls to the number of boys.

A sum of $₹ 7000$ is divided among $A, B, C$ in such a way that the shares of $A \mathrm{and} B$are in the ratio $2 : 3$ and those of $B \mathrm{and} \mathrm{C}$ are in the ratio $4 : 5$. Find $B\text{'}s$ share.

 The sum of the squares of three numbers which are in the ratio $2 : 3 : 4$ is $725.$ Find the numbers.