Harry withdraws ₹7500 from an ATM. He gets notes of ₹200 and ₹500 denominations. If the total number of notes is 24, then answer the following: The number of ₹200 notes is .................... The number of ₹500 notes is ....................
Answers
The numbers of ₹ 200 notes = 15
The numbers of ₹ 500 notes = 9
Step-by-step explanation:
Let,
The numbers of ₹ 200 notes = x
Total number of notes = 24
So,
The numbers of ₹ 500 notes = 24 - x
Total money = ₹ 7500
So,
⇒ 200x + 500 (24 - x) = 7,500
⇒ 200x + 12,000 - 500x = 7,500
⇒ 200x - 500x = 7,500 - 12,000
⇒ - 300x = - 4500
⇒ 300x = 4500
⇒ x = 4500 / 300
⇒ x = 15
The numbers of ₹ 200 notes = 15
The numbers of ₹ 500 notes = 24 - x
⇒ 24 - 15
⇒ 9
The numbers of ₹ 500 notes = 9
Therefore,
The numbers of ₹ 200 notes = 15
The numbers of ₹ 500 notes = 9
★ Verification :
The total numbers of notes = 24
⇒ 15 + 9
⇒ 24
★ Total money = ₹ 7500
⇒ ₹ 200 notes = 15
⇒ 200 × 15
⇒ 3,000
⇒ ₹ 500 notes = 9
⇒ 500 × 9
⇒ 4,500
⇒ 3,000 + 4,500
⇒ ₹ 7500
HOPE THIS HELPS YOU :)
The number of ₹200 notes are 15.The number of ₹500 notes are 9.Total number of notes are 9+15=24