Three person Anil, Ram and Rishi whose salary together amounts to Rs. 81,000 spends 80%, 85% and 75% of their salaries respectively. If their savings are in the ratio of 8 : 9 : 20, find the salary of Ram.
1) Rs. 26,000
2) Rs. 27,000
3) Rs. 24,000
4) Rs. 30,000

• 2) Rs. 27000
  
  Let the incomes of Anil, Ram and Rishi be x, y and z respectively
  Their savings after spending 80% , 85% and 75% are 0.2x, 0.15y and 0.25z respectively
  As savings are in the ratio of 8 : 9 : 20
  Ratio of savings of x and y is 0.2x/0.15y =8/9 , 3x=2y or x=2y/3
  Similarly ratio of savings of y and z is 0.15y/0.25z=9/20 4y=3z or z=4y/3
  As total salary x+y+z= 81000
  So, (2y/3) + y + (4y/3) =81000
  (2y+3y+4y)/3 =81000
  9y= 243000
  y=27000
• 8 years agoHelpfull: Yes(23) No(5)
• So,
  1/5x = 8 ---> x = 40
  
  3/20y = 9 ---> y = 60
  
  1/4z = 20 ---> z= 80
  
  Ratio of their salary's = 40 : 60 : 80 = 2 : 3 : 4
  Ram's salary = 3/9 × 81000 = ` 27000
  
• 7 years agoHelpfull: Yes(23) No(1)
• Ans: Rs. 27000
  
  After spending 80%, 85% and 75% , their savings are 20%, 15% and 25% of their salary respectively.
  As ratio of savings=8 : 9 : 20, let their savings be 8x : 9x : 20x
  We can say, 20% of A's salary= 8x, so A's salary=8x*100/20=40x
  Similarly, 15% of B's salary=9x, so B's salary=9x*100/15=60x
  25% of C's salary=20x, so C's salary=20x*100/25=80x
  As total salary of A, B and C is 81000 Rs.
  => 40x+60x+80x= 81000
  => x=81000/180= 450
  So, B's salary=60x= 60*450= 27000 Rs.
• 7 years agoHelpfull: Yes(16) No(1)