Question

Salaries of ravi and sumit are in the ratio 2:3. If the salary of each is increased by 4000, the new ratio become 18:25. What is sumit's salary?

Answer 1

given the ratio between the salary of Ravi and Sumit is 2 : 3

let their salary be 2x and 3x respectively.

ATQ, If the salary of each is increased by 4000, the new ratio become 18 : 25

➡ (2x + 4000)/(3x + 4000) = 18/25

cross multiplying,

➡ 25(2x + 4000) = 18(3x + 4000)

➡ 50x + 100000 = 54x + 72000

➡ 50x - 54x = 72000 - 100000

➡ -4x = -28000

➡ x = -28000/-4

➡ x = 7000

hence, their salary is :-

• ravi's salary = 2x = 2 × 7000 = 14000

• sumit's salary = 3x = 3 × 7000 = 21000

Answer 2

$\huge \boxed{ \mathfrak\red{Solution!}}$

$\textsf{Let the common ratio be x}$

$\textsf{Salary of Ravi= 2x}$

$\textsf{Salary of Sumit= 3x}$

$\textsf{Now, according to the question}$

$\bold{ \frac{2x + 400}{3x + 400} = \frac{18}{25} }$

$\textsf{Now, by cross multiplication method}$

${ \implies \textsf{25(2x + 400) = 18(3x + 400)}}$

$\implies \textsf{50x + 10000 = 54x +7200 }$

$\implies \textsf{50x - 54x = 7200 - 10000}$

$\implies \textsf{ - 4x = - 2800}$

$\implies \textsf{4x = 2800}$

$\bold{ \implies {x = \frac{2800}{4} }}$

$\implies \textsf{x = 700}$

$\textsf{Now, sumit's income= 3x= 3(700)= Rs 2100}$