T. S. Jain Solutions for Exercise 1: Exercise

A sum of money is divided among A, B, C and D in the ratio of $3 : 4 : 9 : 10$ respectively. If the share of C is $₹2580$ more than the share of B, then what is the total amount of money of A and D together?

Production of a company A is $120\%$ of the production of company B and $80\%$ of the production of company C. What is the ratio between the productions of company A, B and C respectively?

Seema and Meena divide a sum of $₹2500$ in the ratio of $3 : 2$ respectively. If $₹500$ are added to each of their shares, what would be the new ratio formed?

The number of employees in Companies $\mathrm{A}, \mathrm{B}$ and $\mathrm{C}$ are in a ratio of $3:2:4$ respectively. If the number of employees in the three Companies is increased by $20\%,$ $30\%$ and $15\%$ respectively, what will be the new ratio of employees working in companies $\mathrm{A}, \mathrm{B}$ and $\mathrm{C}$ respectively?

The ratio of angles of a triangle is $3 : 5 : 7$. What is the difference between double the smallest angle and half of the largest angle?

Number of students in the Arts and Science stream in an institute are in the ratio of $5 : 8$ respectively. If $150$ more students join the Arts stream while $80$ more students join the Science stream, the respective ratio becomes $3 : 4$. Originally what was the total number of students in both streams together?

$75\%$ of a number is equal to ${\left(\frac{5}{8}\right)}^{th}$ of another number. What is the ratio between the first number and the second number?

When $20\%$ of a number is added to another number, the number increases by $50\%$ . What is the respective ratio between the first and the second number?