Aman's expense is 30% more
than Vimal's expense and Vimal's
expense is 10% less than
Raman's expense. If the sum of
their expenses is Rs. 6447, then
what would be the Aman's expense ?
(1) Rs. 2,200 (2) Rs. 2,457
(3) Rs. 1,890 (4) Rs. 2,100
(5) None of these

• let raman's expanses=100
  so vimal's= 90
  aman's will be= 90*130/100=117
  so total expense= 100+90+117=307
  when total expense is 307 then aman's expense=117
  when total expense is 6447 then aman's expense=117*6447/307=2457
  so aman's expense= 2457
• 11 years agoHelpfull: Yes(10) No(0)
• Let Aman's ,vimal's and raman's expenses be a,v,r
  Now given that Aman's expense is 30% more than that of Vimal's expense
  ==> a=(0.3*v)+v ==> a=1.3v
  Now given that Vimal's expenses is 10% less than that of Raman's
  ==> v=r-(o.1)r ==> v=0.9r
  Now given that a+v+r=6447
  on substituting the values we get
  (1.3)(0.9)r+0.9r+r=6447 ==> r=2100
  wkt v=0.9r ==> v=0.9*2100 = 1890
  wkt a=1.3v ==> a= 1.3 *1890 ==>2457
  HENCE EXPENSE OF AMAN IS Rs.2457.
• 5 years agoHelpfull: Yes(1) No(0)
• Exp Aman-90x130/100=117,Vimal=90,Raman=100
  
  Aman’s share=Rs.117/307x6457=2457
• 11 years agoHelpfull: Yes(0) No(0)
• Exp Aman-90x130/100=117,Vimal=90,Raman=100
  
  Aman’s share=Rs.117/307x6457=2457
• 7 years agoHelpfull: Yes(0) No(0)
• Let Raman's expense be Rs. x
  
  Then, Vimal's expenses :
  = 90% of x
  
  = Rs. ((90/100)×x)=Rs. 9x/10.
  
  Aman's expense :
  =130% of Rs. (9x/10)= Rs. (130/100×9x/10)= Rs. 117x/100
  
  ∴117/100+9x/10+x=6447
  ⇒(117x+90x+100x)/100=6447
  ⇒307x=644700
  ⇒x=644700/307
  ⇒x=2100
  Hence, Aman's expenses :=Rs. (117×2100/100)=Rs. 2457
• 3 years agoHelpfull: Yes(0) No(0)