R. S. Aggarwal Solutions for Chapter: Simplification, Exercise 1: EXERCISE 4A

The sum of two numbers exceeds their difference by $32$. If the product of these numbers is $640$, the larger number is:

A farmer divides $\mathrm{n}$ cows among his $4$ sons in such a way that the first son gets half of the total number of cows, second son gets one-fourth of the whole herd, third l son gets $\frac{1}{5}$ of the whole herd and fourth son gets $7$ cows. The value of $\mathrm{n}$ is:

The cost of $7$ tables and $12$ chairs is $\mathrm{Rs} 48250$. What is the cost of $21$ tables and $36$ chairs?

Two numbers are less than the third number by $50\%$ and $54\%$ respectively. By how much percent is the second number less than the first?

A number is $18$ more than its $\frac{4}{7}$. The number is:

On a games day, when each row consists of $30$ students, there are $16$ rows in all. How many rows are there, if there are $24$ students in each row?

A student was asked to multiply a given number by $27$. By mistake, he multiplied it by $72$ . This result is $405$ more than the correct answer. What is the given number?

By adding $1$ to numerator as well as to the denominator of a fraction, it becomes $\frac{2}{3}$. What is the original fraction?