a purse contins 25- paisa and 50- paisa coins . the number of former coin is three times the latter . if the total money in the purse is ₹ 50, find the number of coin of each type.
Answers
Step-by-step explanation:
Given :-
A purse contins 25- paisa and 50- paisa coins . The number of former coin is three times the latter . The total money in the purse is ₹ 50.
To find :-
Find the number of coin of each type?
Solution :-
Given that
A purse contins 25- paisa and 50- paisa coins .
Let the number of 50-paisa coins be X
The value of X, 50- paisa coins = 50X paisa
Then,
The number of 25-paisa coins = 3 times the number of 50-paisa coins
=> 3X
The value of all 25-paisa coins = 25×3X
=> 75X paisa
The total money in the purse
= 50X paisa + 75X paisa
=> 125X paisa
According to the given problem
The total money in the purse = Rs. 50
We know that
1 Rupee = 100 paisa
=> Rs. 50 = 5000 paisa
Now
=> 125X = 5000
=> X = 5000/125
=> X = 40
The number of 50- paisa coins = 40
The number of 25-paisa coins = 3×40 = 120
Answer:-
The number of 50- paisa coins = 40
The number of 25-paisa coins = 120
Step-by-step explanation:
Let convert Rs.50 into paisa.
We know that: i.e. Rs.50= 50x100=5000paise.
One rupee 100 paise.
Also lets number of 50 paisa coins=x Therefore,no. of 25 paisa=3x.
i.e. 25x3x+50x=5000
=75x+50x=5000
=125x=5000
= x= 5000/125. = 40 is the answer
Therefore,no. of 50 paisa coins=40. No. of 25 paisa coins=3x=3x40=120.
Check
0.50×40+0.25x120 = Rs.50
Rs.20+Rs.30 = Rs.50
Rs.50 = Rs.50
L.H.S=R.H.S
Hence,Verified.