Question

Salaries of amit and akhil are in the ratio ofor 3:5. If the salary is increased by rs7000 then the new ratIowa becomes 11:16. What is akhil's new salary?

Answer 1

Let the ratio of Amit and Akhil's salary be x:y

Since, the ratio of their salaries are in the ratio 3:5.

x:y = 3:5

$\frac{x}{y}=\frac{3}{5}$

5x = 3y

$x=\frac{3y}{5}$            (Equation 1)

Since, the salary is increased by Rs 7000 then the new ratio becomes 11:16.

$\frac{x+7000}{y+7000}=\frac{11}{16}$

16(x+7000) = 11(y+7000)

16x + 112000 = 11y+77000

16x - 11y = 77000 - 112000

16x - 11y = -35000   (Equation 2)

Substituting the value of x from equation 1 in equation 2.

$16(\frac{3y}{5})-11y = -35000$

$(\frac{48y}{5})-11y = -35000$

$\frac{48y-55y}{5} = -35000$

${48y-55y} = -35000 \times 5$

$-7y = -175000$

y = 25000

New salary of Akhil = 25000+7000 = Rs 32000

Hence, the salary of Akhil is Rs 32,000.