Question

An amount of ₹ 16000 is made up with the notes of denominations ₹ 100, 50, 20, and 10 notes. The number of ₹10 notes are 3 times the number of ₹20 notes. The number of ₹20 notes are 5 times the number of ₹50 notes. The number of ₹50 notes are 5 times the number of ₹100 notes. There are total notes of denomination ₹50. *
a) 50
b)20
c) 25
d)30​

Answer 1

Answer:

a) 50

Total notes of denomination ₹50 = 50

Step-by-step explanation:

Let,

₹ 100 notes = x

₹ 50 notes = 5x

₹ 20 notes = 5 (5x) = 25x

₹ 10 notes = 3 (25x) = 75x

★ Value of total notes:

100x

50 × 5x = 250x

20 × 25x = 500x

10 × 75x = 750x

So,

⇒ 100x + 250x + 500x + 750x = 16,000

⇒ 1,600x = 16,000

⇒ x = 16,000 / 1,600

⇒ x = 10

★ ₹ 100 notes = 10

₹ 50 notes = 5x

⇒ 5 (10)

⇒ 5 × 10

⇒ 50

★ ₹ 50 notes = 50

₹ 20 notes = 5 (5x) = 25x

⇒ 25 (10)

⇒ 25 × 10

⇒ 250

★ ₹ 20 notes = 250

₹ 10 notes = 3 (25x) = 75x

⇒75 (10)

⇒75 × 10

⇒750

★ ₹ 10 notes = 750

Therefore,

Total notes of denomination ₹50 = 50

★ Verification:

⇒ ₹ 100 (10) = ₹ 1,000

⇒ ₹ 50 (50) = ₹ 2,500

⇒ ₹ 20 (250) = ₹ 5,000

⇒ ₹ 10 (750) = ₹ 7,500

Total amount :

⇒ ₹ 1,000 + ₹2,500 + ₹5,000 + ₹7,500

⇒ ₹ 16,000