Question

બે વ્યક્તિની માસિક આવકનો ગુણોત્તર 9 : 7 છે અને તેમના માસિક ખર્ચનો ગુણોત્તર 4 : 3 છે જો દરેક વ્યક્તિ માસિક
રૂ. 2,000ની બચત કરે તો તેમની માસિક આવક શોધો.​

Answer 1

Given : બે વ્યક્તિની માસિક આવકનો ગુણોત્તર 9 : 7 છે અને તેમના માસિક ખર્ચનો ગુણોત્તર 4 : 3 છે જો દરેક વ્યક્તિ માસિક

રૂ. 2,000ની  બચત કરે

The ratio of monthly income of two persons is 9: 7 and the ratio of their monthly expenditure is 4: 3 each person monthly Rs 2,000.

To  Find :  their monthly income  

તેમની માસિક આવક શોધો.​

Solution:

Monthly Income  = 9X   and 7 X

Monthly expense 4Y  and 3Y

Saving 9X - 4Y   and  7X - 3Y

9X - 4Y =  7X - 3Y = 2000

9X - 4Y =  7X - 3Y

=> 2X = Y

7X - 3Y = 2000

=> 7X - 3(2X) = 2000

=> X = 2000

Monthly Income  = 9X   and 7 X

= 18000 and 14000

માસિક આવક   = 18000 and 14000

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Answer 2

Step-by-step explanation:

Given The ratio of monthly income of two persons is 9: 7 and the ratio of their monthly expenditure is 4: 3 if each of them manages to save 2000 per month . Find their monthly income if they save Rs 2,000.

• Let the monthly income of two persons be 9a and 7a
• Let the monthly expenditure be 4b and 3b
• Now According to the question we have
• 9a – 4b = 2000 -----------1
• 7a – 3b = 2000-------------2
• So multiply eqn 1 by 3 and eqn 2 by 4, so we get
• 27 a – 12b = 6000
• 28a – 12b = 8000
• Subtracting we get
•    a = 2000
• Substituting a in equation 1 we get
•  9(2000) – 4b = 2000
•  18,000 – 4b = 2000
•        4b = 16,000
•         b = 16,000 / 4
•       Or b = 4000
• Now  
•  Monthly income of first person will be 9a = 9(2000) = Rs 18,000
• Monthly income of second person will be 7b = 7(2000) = Rs 14,000

Reference link will be

https://brainly.in/question/33679727