If a person enters the quantity sold and the price into the computer. Both the numbers are two-digit numbers.Once, by mistake, both the numbers were entered with their digits interchanged. The total sales value remained the same,
i.e. Rs. 1148, but the inventory reduced by 54.
What is the actual price per piece and quantity sold?

• The Inventory is a two digit number
  Let the two digit No. be xy
  The value of the two digit No. 10x+y
  Now the digit is reversed, and the value of the two digit would be 10y+x
  As per the condition:
  10x+y=10y+x+54
  So x-y=6
  Now the different possibility of the two digit No. are 60,71,82 and 93
  Except 82, others are not the divisors of 1148 being the sale value
  Thus,1148/82=14( being the price)
  So, actual price was Rs.14 and the Inventory was 82
  If we reverse the two, the product is same(41*28=1148)
• 12 years agoHelpfull: Yes(2) No(0)