Abhijit Guha Solutions for Chapter: Linear Equations, Exercise 2: Practice Problems Level 2

Xen ordered for six Leo toys and some additional Kaybee toys. The prices of Leo toys is $2\frac{1}{2}$ times that of a Kaybee toy. While preparing the bill, the shopkeeper interchanged the number of Leo toys, with that of Kaybee toys which increased the bill by $45$ per cent. Find the number of Kaybee toys:

The difference between two numbers is $642$. When the greater number is divided by the smaller, quotient is $8$ and remainder is $19$. Find the greater number:

$₹80$ per head is changed when there are $25$ borders in a PG and $₹70$ per head there are $50$ boarders. Find the change per head when there are $100$ boarders:

Sohan lost $72$ in two games. His second game loss is $₹8$ more than the first game. Mohan lost $₹6$ more than Sohan in the second game. What is the amount lost by Mohan in the second game?

Ram finished $3$ marble games and have $39$ marbles. In the $1\mathrm{st}$ game, he lost half of his marbles. In the $2\mathrm{nd}$ game he won $13$ times what he had at the end of the lst game. In the $3\mathrm{rd}$ game he won $11$ marbles. How many marbles did Ram have at the start?

In a test containing $16$ questions, a candidate gets a boost up of $20$ marks for taking the test. $5$ marks are given for each correctly answered question and $2$ marks for each answered question. No marks is awarded for incorrect answer. Which of the following marks is not attainable?

An egg seller sells 'P' dozen eggs. If he had sold $120$ dozen less at $30$ paise a dozen more or if he sold $100$ dozen eggs more at $20$ paise a dozen less, then the value of P is:

If Ram gives Bina $₹20$, Ram has $40$ per cent of what Bina has and Bina gives $₹40$ to Ram, Bina will have $40$ per cent of what Ram has; then what is the amount initially Ram has?