Arun Sharma Solutions for Exercise 1: Level of Difficulty

Raunak generally wears his father's coat. Unfortunately, his cousin Vikas told him one day that he was wearing a coat of length $15\%$ more than his height. If the length of Raunak's father's coat is $345 \mathrm{cm}$, then find the actual length of his coat.

A number is mistakenly divided by $2$ instead of being multiplied by $2$. Find the percentage change in the result due to this mistake.

Sachin wanted to subtract $10$ from a number. Unfortunately, he added $10$ instead of subtracting. Find the percentage change in the result.

In a mixture of $100 \mathrm{litres}$ of milk and water, $25\%$ of the mixture is milk. How much water should be added to the mixture, so that milk becomes $20\%$ of the mixture?

A landowner increased the length and the breadth of a rectangular plot by $20\%$ and $30\%$ respectively. Find the percentage change in the cost of the plot, assuming land prices are uniform throughout his plot.

The height of a triangle is increased by $30\%$. What can be the maximum percentage increase in length of the base, so that the increase in area is restricted to a maximum of $90\%$?

The length, breadth and height of a room in the shape of a cuboid are increased by $10\%, 20\%$ and $50\%$ respectively. Find the percentage change in the volume of cuboid.

The salary of Ajay is $10\%$ more than that of Vivek. Find by what percentage is the salary of Vivek less than that of Ajay?