I had about Rs.14.40 in one rupee coins and 20 paise coins when I went out for shopping.

When I returned, I found that number of 20 paise coins and 1 rupee coins are exactly as 1

rupee and 20 paise coins respectively, that I had originally. I came back with one third of

what I had started out with. How many one rupee coins did I have initially?

A) 10

B) 12

C) 14

D) 16

• Answer is 14
  Solution : Let x be number of 1 rupee coins and y be number of 20 paise coins initially.
  Initially : 1x + .2y =14.40
  Finally : 1y + .2x = 4.80 (as number of coins interchange)
  Solving we get, x=14 and y=2
  Therefore there was 14 one rupee coins and 2 20 paise coins initially.
• 12 years agoHelpfull: Yes(4) No(0)
• Let's assume X as 1 rupees and Y 20 paise coins.
  Before Going shopping had (100 X + 20 Y) paise ---- 1
  Upon return left amount (100 Y + 20X) paise. ----- 2
  
  as we know, one-third of the original amount is left
  Therefore (100 Y + 20 X) = (1/3)(100 X + 20 Y) ----- 3
  
  Simplifying equation 3, we have X = 7Y ----- 1
  If Y =1, then X = 7 sum would be 7.20 (which is not true. Sum shoud come 14.20)
  If Y=2, Then X=14 Sum is 14.40. This is true answer
  
  After shopping, He has 2 one Rupee Coints and 14 20 paise coins.
  Sum comes to 2 + (14/5) = 4.80... this is 1/3 of the orginal amount
• 12 years agoHelpfull: Yes(3) No(3)
• Let's assume he had X coins of 20 paisa and Y coins of Rs 1.
  
  Then
  20x+100y = 3*(100x+20Y)
  280 x= 40 y
  y=7x
  
  For Rs 14, x=2
  then y =14
  
  so he had 14 coins of Rs. 1 initially.
• 12 years agoHelpfull: Yes(3) No(0)
• lets take the 1/3 rd of 14.40
  in (12/3)=4
  240/3=80
  so after shopping he had 4rs80 paise.
  as said in the above problem no of 1 re coins(intially)=no of 20 piase coins
  so as shown in the below table consider the following we will get the answer
  rs paise
  3 9(20*9)=180+3
  2 14(14*20)=280+2=480.so intially 2 20 paise coins and 14(1 re) coins.
  
• 12 years agoHelpfull: Yes(1) No(5)
• initially 100x+20y=1440
  after spending (100x)/3+(20y)/3=480
  if we suppose initially he had 12 coins of 1rs and 12 coins of 20p then total is 14.40
  after spending he is left with 1/3 amount which means 4.80rs
  12 coins of 1 rs divided by 3=4 coins of 1 rs
  12 coins of 20p divided by 3=4 coins of 20 p
  which makes rs4.80
  SO ANSWER IS 12 COINS OF 1rs and 12 COINS OF 20p
• 9 years agoHelpfull: Yes(0) No(0)