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:
Answers
Answer:
no. of 200 ₹ notes = 15
no. of 500 ₹ notes = 9
Step-by-step explanation:
let no. of 200 ₹ notes be x and no. of 500 ₹ be 24 - x
val of x notes = 200x ₹
val of 24 - x notes = 12000 - 500 x ₹
200x ₹ + 12000 -500x ₹ = 7500 ₹
300x = 12000 - 7500
300x = 4500 ₹
x = 4500/300
x = 15
∴ no. of 200 ₹ notes = 15
no. of 500 ₹ notes = 24 - 15
= 9
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Answer:
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