A Shopkeeper can buy ‘X’ number of pencils and ‘Y’ number of pens in Rs. 1000. Cost price of a pencil is Rs. 30 and that of a pen is Rs. 20. He gifts away a few pens and sells the remaining pens at Rs. 25 each and pencils at Rs. 35 each. If he does not make any profit or loss in this transaction, then which of the following relations can be correct?I. X + Y = 25II. X + Y = 34III. X + Y = 45

1) Only I
2) I and II
3) Only III
4) I and III

• let pens are x and pencil are y
  20x+30y=1000
  25(x-a)+35y=1000
  2x+3y=100
  5(x-a)+7y=200
  x+y=5a
  from the equation x+y should be multiple of 5 so II is eliminated
  min no. y are 3y=100 min. is 33
  so only 3 condition satisfy option (c)
  3*10+2*35=100
• 11 years agoHelpfull: Yes(1) No(0)