Question

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

Answer 1

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Answer 2

Ratio = Amit : Akhil = 3 : 5

Define x:

Let x be the constant ratio

Ratio = Amit : Akhil = 3x : 5x

After Rs 7000 increased, the ratio became:

Amit : Akhil = 11 : 16

Solve x:

$\dfrac{3x + 7000}{5x + 7000} = \dfrac{11}{16}$

$16( 3x + 7000) = 11 (5x + 7000)$

$48x + 112000 = 55x + 77000$

$55x - 48x = 112000 - 77000$

$7x = 35000$

$x = 5000$

Find Akhil's new salary:

Akhil's original salary = 5x = 5(5000) = 25000

Akhil's new salary = 25000 + 7000 = Rs 32,000

Answer: Akhil's new salary is Rs 32,000