One year ago the ratio between Laxman's and Gopal's salary was 3:4. The ratio's of their individual salaries between last year's and this year's salaries are 4:5 and 2:3 respectively. At present the total of their salary is Rs.4290. The salary of Laxman now is :
i need explanation for this

• let last year laxman salary be= last(l)
  let last year gopal salary be= last(g)
  let present year laxman salary be= pr(l)
  let present year gopal salary be= pr(g)
  then
  last(l)/pr(l)=4/5 : last(g)/pr(g)=2/3: eq1/eq2: we get pr(g)/pr(l)=8/5
  now a/cq: 8x+5x= 4290: so x=330: nd so pr(l)=1650
  
  
  
• 11 years agoHelpfull: Yes(12) No(3)
• lx..n's sa..ry ratio=4:5=3:(5*3/4)
  g..l's sa..ry ratio=2:3=4:6
  last year salary ratio=3:4
  so current year ratio=(5*3/4):6 =5:8
  so salary of gopal is 1650
  
• 11 years agoHelpfull: Yes(5) No(3)
• let salary of laxman 1 year ago=x
  let salary of gopal 1 year ago=y
  a.t.q
  x/y=3/4
  x=(3/4)*y---------1
  y=(4*3)*x---------2
  now let present salary of laxman =x+x1;
  let present salary of laxman 1 year ago=y+y1;
  a.t.q
  (x+x1)/x=4/5-----3
  (y+y1)/y=2/3-----4
  also toal salary is
  x+x1+y+y1=4290-------5
  putting value of eq 1 and 2 in 3 and 4 resp
  we get x1=(-3/20)y;
  y1=(-4/9)x;
  putting these values of x1 and y1 in eq5
  we get
  y=3387
  x=2540 x1=508
  so present salary of laxman=3048
• 11 years agoHelpfull: Yes(4) No(7)
• Let the salaries of Laxman and Gopal one yer before be 12x and 16x.
  Given that laxman's last year and present year salary are in the ratio 4 : 5 so his present salary = 5/4(12x) = 15x
  Also Gopal's last year and present year salary are in the ratio 2 : 3 so his present salary = 3/2(16x) = 24x
  But given that sum of the salaries 15x + 24x = 39x = 4290
  ⇒
  x = 110
  Laxman's present salary = 15x = 15 x 110 = 1650
• 5 years agoHelpfull: Yes(0) No(0)