22) A boy buys 18 sharpeners (brown or white) for Rs. 100. For every white sharpener, he pays one rupee more than the brown sharpener. What is the cost of white sharpener & how much did he buy?

• If he bought x white sharpeners @ Rs (y+1) and (18-x) brown sharpeneres @ Rs y per sharpener, then
  x*(y+1)+x*(18-x)=100
  x= 100-18y
  Only integral value of x less than 18 will be 10.
  then x=10, y=5
  so he bought 10 white sharpeners @ Rs 6 per sharpeners and 8 brown sharpeners @ Rs 5 per sharpener.
  
• 11 years agoHelpfull: Yes(41) No(12)
• Guys don't confuse this problem,
  Logically think,go for an option wise
  1)5,13-13 white sharpner means remains 5 brown sharpners-and here said white sharpner cost is one rupee more than brown
  hence we easily calculate
  5*13=65-white shapner
  4*5 =20-brown sharpner-one rupee less than the cost of white so only here i mentioned 4 and remains sharpner 5..
  Then calculate the total=65+20=85(Not satisfied.because the total is 100)
  2)2nd option is 5,10
  same to calculate previous one:
  5*10=50
  4*8 =32
  total=82(Not satisfied)
  3)6,10(3rd option)
  6*10=60
  5*8 =40
  60+40=100(Satisfied).Hence this is the answer
  Is it useful??I need your comments..
  
• 11 years agoHelpfull: Yes(32) No(3)
• we know that a boy buy 18 sharpeners for rs. 100.
  so the 8 brown sharpeners- each 5 rs.
  and 10 white sharpeners- each 6 rs.
  then 8*5+10*6=100
• 11 years agoHelpfull: Yes(15) No(15)
• @GARIMA can u plz expln wht is the meaning of only integral val of x less than 18 is 10?/ plz reply soonnn
• 11 years agoHelpfull: Yes(6) No(0)
• He will buy qo white sharpeners at 6 rupees each.
  so no. of brown sharpeners is 18-10=8.
  and cost of a brown sharpener is cost of white sharpener-1=6-1=5
  thus 8 brown sharpeners at 5 rupees each
• 11 years agoHelpfull: Yes(3) No(5)
• Y+Z=18
  Yx+Z(x+1)=100
  18x+Z=100
  let x=5
  Z=10
  Z*x+1=10*6=60
  Y*x=8*5=40
• 11 years agoHelpfull: Yes(2) No(6)
• let brown be x,white = 18-x,
  cost brown=y,white= y=+1
  so x*(18-x)+x*(y+1)=100
  x=100-18y
  solving we get x=10, y=5
  so he got 10 white sharpners for6, 8brown for 5rs ,
  8*5+10*60=100
• 8 years agoHelpfull: Yes(2) No(1)
• 6 *10+ 5*8= 60+40
  =100
  
• 8 years agoHelpfull: Yes(1) No(1)
• If Cost of one brown sharpener = x, then cost of one white sharpener is x+1. Suppose he bought y brown sharpeners then 100 = xy + (x+1)*(18-y). 100 = xy + 18x - xy + 18 - y. 82 = 18x -y. Since y>0, y = 18x - 82. So x cannot be 1,2,3,4. Suppose x = 5 then y = 8. Then it satisfies the condition. So cost of one white sharpener is x+1 = 6 and he bought 18 - y = 10 of them.
• 8 years agoHelpfull: Yes(1) No(0)
• Assume that he bought b, brown sharpeners and w, white sharpeners and the cost of brown sharpener is x and white sharpener is x + 1
  So w(x+1) + bx = 100
  w + b = 18
  b = 18 - w
  Substituting in equation 1, we get w(x+1) + (18 -w)x = 100 so w + 18 x = 100
  Take option 1: If white sharpners are 13, x = (100 - 13) /18 = 4.833
  Option 2, If white sharpeners are 10, x = (100 - 10)/18 = 5 So white sharpeners cost is 6.
  Option 3 Satisfies this condition.
• 7 years agoHelpfull: Yes(1) No(0)
• with in 1 week i m going to write tcs test..could anyone suggest me how to prepare??
• 10 years agoHelpfull: Yes(0) No(5)
• We can use substitution method also..
• 8 years agoHelpfull: Yes(0) No(0)
• 18 sharpners he buyed
  total rupees 100
  so there are 10*6=60 brown sharpners ; 8*5=40 white sharpners
  the answer is the cost of white sharpners is 40- and he buyed 5 white sharpners.
• 7 years agoHelpfull: Yes(0) No(2)