a total amount of rupees 1050 in currency notes of denomination 5,10,20 & 50 rupees. The number of 5 rupees notes is 6 times the number of 10 rupees notes,8 times the number of 20 rupees notes,& 10 times the number of the 50 rupees notes.what is the number of notes of each denomination?
Answers
Step-by-step explanation:
person standing on the bank of river observes that the angle subtended by a tree on the opposite bank is 45° . when he retires 40 m from the bank,he finds the angle to be 30° . find the height of the tree
Explanation:
Let the number of ₹50 notes and ₹20 notes be 9x and 8x , respectably, but he has 61 notes in total.
So, the number of ₹ 10 notes= 61 - ( 9x+8x )
= 61 - 17x
Now, amount he has
From₹50 notes = 9x×50 = ₹450x
From₹20 notes= 8x×20 = ₹160x
From₹10 notes= (61-17x)×10 = ₹(610-170x)
Hence the total money he has = 450x+160x+(610-170x)
= ₹(610+440x)
But he has total of money = ₹1050
⇒ 610+440x=1050
⇒ 440x=1050-610
⇒ 440x=440
⇒x =440 × (1/440)
⇒ x = 1
The numbers of ₹50 notes he has = 9×1
=9
The number of ₹20 notes he has= 8×1
=8
The number of ₹10 notes he has= (61-17×1)
=44