Question

Salaries of Ravi and Sumit are in the ratio 2:3. If the salary of each is increased by Rs 4000, the new ratio becomes 40:57. What is Sumit present salary. ( A ) 32000 ( B ) 34000 ( C ) 40000 ( D ) 38000

Answer 1

The correct option is D.

Step-by-step explanation:

It is given that salaries of Ravi and Sumit are in the ratio 2:3.

The initial salaries of Ravi and Sumit are 2x and 3x respectively.

If the salary of each is increased by Rs 4000, the new ratio becomes 40:57.

$\dfrac{2x+4000}{3x+4000}=\dfrac{40}{57}$

On cross multiplication we get

$57(2x+4000)=40(3x+4000)$

$57(2x)+57(4000)=40(3x)+40(4000)$

$114x+228000=120x+160000$

Isolate variable terms on left side.

$114x-120x=160000-228000$

$-6x=-68000$

Divide both side by -6.

$x=\dfrac{-68000}{-6}$

$x=\dfrac{34000}{3}$

Sumit present salary is 3x+4000.

$3x+4000=3\times \dfrac{34000}{3}+4000=34000+4000=38000$

Therefore, the correct option is D.

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