A man went to bank to withdraw 3000 rupees he asked the cashier to give him 50 and 100 notes only if he got 42 notes in all how many notes of rupees 50 and 100 he got
Answers
Step-by-step explanation:
Given:-
A man went to bank to withdraw 3000 rupees he asked the cashier to give him 50 and 100 notes only if he got 42 notes in all .
To find:-
How many notes of rupees 50 and 100 he got ?
Solution:-
Let the number of Rs. 50 notes be X
The value of X notes = Rs. 50 X
Let the number of Rs. 100 notes be Y
The value of Y notes = Rs. 100Y
Total number of notes the man got = 42
X + Y = 42 ------------(1)
Total money which is to be withdrawn = Rs. 3000
=> 50 X + 100 Y = 3000
=> 50(X +2Y) = 3000
=> X+2Y = 3000/50
X+2Y = 60 ----------(2)
On subtracting (1) from (2)
X+2Y = 60
X-Y = 42
(-)
_________
0+Y = 18
__________
=> Y = 18
On Substituting the value of Y in (1)
=> X +18 = 42
=>X = 42-18
=>X = 24
Rs. 50 notes = 24
Rs. 100 notes = 18
Answer:-
Total number of Rs. 50 notes = 24
Total number of Rs. 100 notes = 18
Check:-
Total number of notes = 24+18 = 42
The value of Rs. 50 notes = 50×24 = 1200
The value of Rs. 100 notes = 100×18 = 1800
Total amount = 1200+1800 = Rs. 3000
Verified the given relations.