R K Bansal Solutions for Chapter: Ratio and Proportion, Exercise 1: EXERCISE 6(A)

A plot of land, $600 \mathrm{sq}.\mathrm{m}$ in area, is divided between two persons such that the first person gets three-fifth of what the second gets. Find the share of each.

Two poles of different heights are standing vertically on a horizontal field. At a particular time, the ratio between the lengths of their shadows is $2 :3$. If the height of the smaller pole is $7.5 \mathrm{m}$, find the height of the other pole. (in $\mathrm{m}$)

 Two numbers are in the ratio $4:7$. If their L.C.M. is $168$, find the numbers.

$₹ 300$ is divided between $\mathrm{A}$ and $\mathrm{B}$ in such a way that $\mathrm{A}$ gets half of $\mathrm{B}$. Find the ratio between the shares of $\mathrm{A}$ and $\mathrm{B}$.

$₹ 300$ is divided between $\mathrm{A}$ and $\mathrm{B}$ in such a way that $\mathrm{A}$ gets half of $\mathrm{B}$. Find the share of $\mathrm{A}$ and the share of $\mathrm{B}$.

The ratio between the two numbers is $5:9$. Find the numbers, if their H.C.F. is $16$.

A bag contains $₹ 1,600$ in the form of $₹ 10$ and $₹ 20$ notes. If the ratio between the numbers of $₹ 10$ and $₹ 20$ notes is $2:3$, find the total number of notes in all.

The ratio between the prices of a scooter and a refrigerator is $4:1$. If the scooter costs $₹ 45,000$ more than the refrigerator, find the price of the refrigerator. If the price of the refrigerator is $₹ k,$ then find the value of $k$.