Question

wanny incomes or X and Y are in the ratio of 4 3. Each of them saves Rs. 500
me ratio of their expenditure is 32. then the monthly income of is?
को मासिक आयों का अनुपाल 43 है उनमें से प्रत्येक 500 रुपए की बचत करता।
'यदि उसको यों का अनुपात होतो की मासिक आय क्या है?
AR.2000
BRs. 1500
DRs.2200
CRs.3200​

Answer 1

Answer:

Given:

Ratio of monthly incomes of X and Y =3:4

Ratio of monthly expenditure of X and Y =5:7

Ratio of monthly savings of X and Y =3:2

Solution:

Suppose

Proportion value of monthly income =x

Proportion value of monthly expenditures =y

Proportion value of monthly savings =z

Hence,

Monthly savings of X =3z

Monthly savings of Y =2z

According to question,

3z=2z+500

or, z=500

Savings of X =3×500=1500

Savings of Y =2×500=1000

We know that ,

Income - Expenditure = Savings

So, for Mr. X

3x−5y=1500 ............(i)

For Mr. Y

4x−7y=1000 ...............(ii)

Multiplying eqn.(i) by 7 and eqn.(ii) by 5 and subtract eqn. (ii )from (i) we get,

21x−20x=10500−5000

or, x=5500

Putting value of x=5500 in eqn (i) we get,

3×5500−5y=1500

or, 5y=16500−1500=15000

or, y=3000

Income of Y =4x=4×5500=22000

Hence, income of Y =Rs.22000

Therefore, A is the correct option

Step-by-step explanation: