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's salary?

34000

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36000

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38000

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40000

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None

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Solution

The correct option is C
38000

Let the original salaries of Ravi and Sumit be Rs. 2x and Rs. 3x respectively.

Then,

$\frac{(2 x + 4000)}{(3 x + 4000)} = \frac{40}{57}$

$\Rightarrow 57 \times (2 x + 4000) = 40 \times (3 x + 4000)$

$\Rightarrow 6 x = 68, 000$

$\Rightarrow 3 x = 34, 000$

$S u m i t^{'} s p r e s e n t s a l a r y = (3 x + 4000) = R s . (34000 + 4000) = R s . 38, 000$

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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's salary?

The correct option is C 38000 Let the original salaries of Ravi and Sumit be Rs. 2x and Rs. 3x respectively. Then, (2x+4000)(3x+4000)=4057 ⇒57×(2x+4000)=40×(3x+4000) ⇒6x=68,000 ⇒3x=34,000 Sumit′s present salary = (3x+4000)=Rs.(34000+4000)=Rs.38,000