NCERT Solutions for Chapter: Linear Equations in One Variable, Exercise 1: Exercise

The perimeter of a rectangle is $240 \mathrm{cm}$. If its length is increased by $10\%$ and its breadth is decreased by $20\%,$ we get the same perimeter. Find the new length and breadth of the rectangle.

In a two-digit number, digit in unit's place is twice the digit in ten's place. If $27$ is added to it, digits are reversed. Find the number.

A man was engaged as typist for the month of February in $2009.$ He was paid $Rs. 500$ per day, but $Rs 100$ per day day were deducted for the days he remained absent. He received $Rs 9100$ as salary for the month. For how many days did he work?

A steamer goes downstream and covers the distance between two ports in $3$ hours. It covers distance in $5$ hours, when its upstream. If the stream flows at $3 km/h$, then find what is the speed of the steamer upstream?

There are $40$ passengers in a bus, some with $Rs 3$ tickets and remaining with $Rs 10$tickets. The total collection from these passengers is $Rs 295.$ Find how many passengers have tickets worth $Rs 3?$

Denominator of a number is $4$ less than its numerator. If $6$ is added to the numerator, it becomes thrice the denominator. Find the fraction.

An employee works in a company on a contract of $30$ days on the condition that he will receive $Rs 120$ for each day he works and he will be fined $Rs 10$ for each day he is absent. If he receives $Rs 2300$ in all, for how many days did he remain absent?

Kusum buys some chocolates at the rate of $Rs 10$ per chocolate. She also buys an equal number of candies at the rate of $Rs 5$ per candy. She makes a $20\%$ profit on chocolates and $8\%$ profit on candies. At the end of the day, all chocolates arid' candies are sold out and her profit is $Rs 240.$ Find the number of chocolates purchased.