Question

the salary of Ravi and Sumit are in ratio 2 ratio 3 if the salary of Sumit and Ravi increases by 4000 and new ratio became 40 ratio 57 what is the salary of sumit​

Answer 1

$\Large{\underline{\underline{\mathfrak{\bf{Question}}}}}$

The salary of Ravi and Sumit are in ratio 2:3 if the salary of Sumit and Ravi increases by 4000 and new ratio became 40 : 57, what is the salary of sumit ?

$\Large{\underline{\underline{\mathfrak{\bf{Solution}}}}}$

$\Large{\underline{\mathfrak{\bf{\pink{Given}}}}}$

• The salary of Ravi and Sumit are in ratio 2:3
• if the salary of Sumit and Ravi increases by 4000 and new ratio became 40 : 57

$\Large{\underline{\mathfrak{\bf{\pink{Find}}}}}$

• Salary of sumit .

$\Large{\underline{\underline{\mathfrak{\bf{Explanation}}}}}$

Let,

• Salary of sumit = x
• Salary of Ravi = y

A/c to question ,

( The salary of Ravi and Sumit are in ratio 2:3 )

➠ y : x = 2 : 3

➠ y/x = 2/3

➠ 2x - 3y = 0 .........(1)

Again,

( if the salary of Ravi and sumit increases by 4000 and new ratio became 40 : 57 )

➠ (y + 4000) : (x + 4000) = 40 : 57

➠ (y + 4000) / (x + 4000) = 40 / 57

➠ 57(y + 4000) = 40(x + 4000)

➠ 57y - 40x = 1,60,000 - 2,28,000

➠ 40x - 57y = 68,000 ......(2)

Multiply by 40 in equ(1) and 2 in equ(2)

• 80x - 12y = 0
• 80x - 228y = 68,000

__________Sub. its

➠ 216y = - 68,000

➠ y = - 68,000/216

➠ y = - 68,000/216

Keep value of y in equ (1)

➠ 2x - 3 × { -68,000/216} = 0

➠2x = -68,000/72

➠ x = -68,000/(72×2)

➠ x = - 34,000/72

But, we know salary always be in positive

So, neglect negative sign

• New, value of x will be = 34,000/72
• Value of y will be = 68,000/216

Thus:-

➠ Salary of Ravi = 68,000/216

➠ Salary of sumit = 34,000/72

$\Large{\underline{\underline{\mathfrak{\bf{Answer\:Verification}}}}}$

( The salary of Ravi and Sumit are in ratio 2:3 )

➠ y : x = 2 : 3

Keep value of x and y

➠ [ 68,000/216] : [ 34,000/72] = 2 : 3

➠ [ 68,000/216] × [ 72/34,000] = 2/:3

➠ ( 68/216)× (72/34) = 2:3

➠ (2/216) × 72 = 2:3

➠ (1/108) × 72= 2:3

➠ 36/54 = 2 : 3

➠ 2/3 = 2:3

➠ 2 : 3 = 2 : 3

That's proved