Question

Salaries of A and B are in 2:3 ratio. If the salary of each is increased by 4000, the new ratio is 40:57. What is B's salary?

Answer 1

Given -
ratio of their salry = 2:3
increase in their salary = 4000
new ratio = 40:57

so the equation is -

2x +4000 / 3x + 4000 = 40/57

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

114 x + 2,28,000 = 120x + 1,60,000

2,28,000 - 160,000 = 120x - 114x

68,000 = 6x

x = 11333.34

so B's old salary = 3x

=3 ( 11333.34)

= Rs.34,000( approx)

or B's new salary = old salary + 4000

= 34,000 + 4000
= Rs.38,000

Answer 2

Answer: The salary of B is Rs38000.

Step-by-step explanation:

Given, the ratio of the salaries of A and B = 2:3

increase in their salary of A and B= 4000

new ratio after an increase in the salary = 40:57

so the equation of their salaries is -

⇒ 2x+4000 / 3x+4000 = 40/57

⇒ 57(2x + 4000) = 40(3x + 4000)

⇒ 114 x + 2,28,000 = 120x + 1,60,000

⇒ 2,28,000 - 160,000 = 120x - 114x

⇒ 68,000 = 6x

⇒ 3x = 34000

thus, B's old salary is 3x i.e. Rs34000

or B's new salary = old salary + 4000 = 34,000 + 4000 = Rs.38,000

Hence, the salary of B is Rs38000.

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