Puzzle time -- A man sent his servant to the bank to encash a cheque with amount Rs AB.XY paise written on it . The cashier gave the servant Rs XY . AB paise by mistake . The servant dropped 17 paise on the way and gave back remaining amount to the master. The money was twice the amount written on the cheque . So what amount was written on the cheque ?
Answers
Given : A man sent his servant to the bank to encash a cheque with amount Rs AB.XY paise written on it . The cashier gave the servant Rs XY . AB paise by mistake
To find : what amount was written on the cheque
Solution:
Amount of Cheque = AB.XY
Value = 10A + B Rs & 10X + Y Paise
Amount received = XY.AB
Value = 10X +Y Rs & 10A + B Paise
10X +Y Rs + 10A + B - 17 Paise = 2 ( 10A + B Rs & 10X + Y Paise)
The money was twice the amount written on the cheque
=> Either 10X + Y = 2(10A + B) or 10X + Y = 2(10A + B) + 1
Case 1 : 10X + Y = 2(10A + B)
2(10A + B) Rs + 10A + B - 17 Paise = 20A + 2B Rs + 2( 2(10A + B) )
=> 10A + B - 17 Paise = 2( 2(10A + B) )
=> 3(10A + B) = -17 not possible
Case 2 : 10X + Y = 2(10A + B) + 1
2(10A + B )+ 1 Rs + 10A + B - 17 Paise = 20A + 2B Rs + 2( 2(10A + B )+ 1 )
=> 1 Rs + 10A + B - 17 Paise = 40A + 4B + 2 Paise
=> 81 Paise = 30A + 3B
=> 27 Paise = 10A + B
10A + B = 27
A = 2 , B = 7
10X + Y = 2(27) + 1 = 55
X = 5 , Y = 5
Amount written on the cheque = 27.55 Rs
learn More:
A man gave a cheque to his servant and asked to get it encashed ...
https://brainly.in/question/16338888
We add 10.864 and the number got by interchanging the digit in its ...
brainly.in/question/13343861
in a two digit numbers the digit at unit place is equal to the square of ...
brainly.in/question/8014140