manju Kutty has a total of Rs.760 as currency notes In the denominations of Rs.50, Rs.20 and Rs.10.the ratio of the number of Rs.50 notes to Rs.20 notes is 3:5. if she has a total of 25 notes, find the number of notes of each denomination she has.
Answers
20×15=300
10×1=10
450+300+10=760
Answer:
No of 50 Rupee coin is = 9
No. of 20 Rupee Coin is = 15
No. of 10 Rupee coin is = 1
Step-by-step explanation:
Let the no. of Rs.10 coin be "X"
Total no.of coins = 25
Now no. of Rs.50 coin and Rs. 20 coin will be = 25 - X
Ratio Given for 50 & 20 Rupee coin is 3:5
Total no. of Rs.50 coin = (25-X)*3/8 ( as per ratio given)
Sum of Rs.50 = 50*3/5(25-X)
Total No. of Rs.20 coin = (25-X)*5/8
Sum of Rs.20 = 20*5/8(25-X)
Given that : Sum of 25 coins denominations is 760
so, 50*3/8(25-X) + 20*5/8(25-X) + 10X = 760
we are going to take common term
(25-X)(50*3/8 + 20*5/8)+10X = 760
(25-X)(150/8 +100/8)+10X = 760
(25-X)(250/8)+10X = 760
(25-X) (125/4)+10X = 760
Now multiplying (25-X) and 125/4
(3125-125X)/4+ 10X = 760
( 3125-125X + 4*10X)/4 = 760
3125-125X + 40X = 760 * 4
3125 - 85X = 3040
3125-3040 = 85X
85 = 85X
X = 85/85
X = 1
IF X = 1
that is no. of 10 Rupee coin is "1"
No. of 50 Rupee coin is = (25-X)*3/8
= (25-1)*3/8
=24*3/8
=3*3
= 9
No. of 20 Rupee coin is = (25-X) * 5/8
= (25-1)*5/8
= 24*5/8
= 3*5
=15
Hence proved that
Rs.50*9 + Rs.20*15 + Rs.10*1
450+300+10
760