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The ratio of two persons is …

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The ratio of two persons is 9:7and their expenditure is 4:3 then each of them manages to save 2000 per month
  • 1 answers

Gaurav Seth 5 years, 4 months ago

Let their salaries be 9x and 7x
let their expenditure be 4y and 3y

so,

9x-4y=2000—(1)
7x-3y=2000—(2)

so,

from (1)
x=(2000+4y)/9—(3)

put x in (2)
7[(200+4y)/9]-3y=200
(1400+28y)/9-3y=200
(1400+28y-27y)/9=200
y+1400=1800
y=400

now put y in (3)
x=(2000+4×400)/9
x=(2000+1600)/9
x=18000/9
x=2000

so,
salary of first person=9×2000=18000 rs
salary of second person=7×2000=14000 rs

 

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