A, B and C went to buy ration from a wholesale market. They had
a combined sum of Rs 900. A spent 80%, B spent 70% and C spent 75%
of their respective amounts. Now the ratio of amounts left with them is
4 : 9 : 10. Find the ratio of amounts they had in the beginning.
(a) 2 : 4 : 3 (b) 3 : 4 : 2
(c) 5 : 2 : 2 (d) 2 : 3 : 4

• (d) 2 : 3 : 4
  
  If initial amounts are a,b and c respectively , then
  final amounts are
  0.2 a
  0.3 b
  0.25c
  which are in ratio of 4:9:10
  so 0.2a=4x
  a= 20 x
  similarly b=30x
  c=40x
  
  so ratio of amounts they had in the beginning = 20x:30x:40x= 2:3:4
• 11 years agoHelpfull: Yes(8) No(0)
• let the required ratio be x:y:z
  then,(x-80% of x):(y-70 % of y) :(z-75% of z) = 4:9:10
  now solve the equation by taking two ratio at a time you will get 2:3:4
• 11 years agoHelpfull: Yes(1) No(3)
• the ratio of amount left = 4:9:10
  so for a 20% = 4x -> 100% = 20x
  for b 30% = 9x -> 100% = 30x
  for c 25% = 10x-> 100% = 40x
  a+b+c = 20x+30x+40x = 900
  x = 100
  a:b:c = 2:3:4
• 11 years agoHelpfull: Yes(0) No(0)