Question

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 --------------

Answer 1

Answer:

The numbers of ₹ 200 notes is 15

The numbers of ₹ 500 notes is 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,

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 is 15

The numbers of ₹ 500 notes is 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

Answer 2

ᎯᏁᏕᏯᎬᏒ

Given:-

➢ Rupees withdrawn = ₹7500

➢ Total no. of notes = 24

Assumption:-

➲ Let the no. of ₹200 notes be x.

➲ So, the no. of ₹500 notes = 24-x.

Equation formed:-

★ 200(x) + 500(24-x) = 7500

Solution:-

⇢ 200x + 12000 - 500x = 7500

⇢ -300x = 7500 - 12000

⇢ -300x = -4500

⇢ x = -4500/-300

⇢ x = 15

➟ No. of ₹200 notes (x) = 15

➟ No. of ₹500 notes (24-x) = 9

∴ The number of ₹200 notes is 15.

∴ The number of ₹500 notes is 9.