Question

a purse contains ₹550 notes of denomination of ₹10 and ₹50 if the number of rupees 50 notes is one less than of ₹10 notes then find the number of ₹ 50 notes​

Answer 1

The number of ₹ 50 notes is 9.

Explanation:

Solution :

Let,

• No. of notes of ₹10 = x

The number of rupees 50 notes is one less than of ₹10 notes

So,

• No. of notes of ₹50 = x - 1

★ According to the Question :

⇒ x (10) + (x - 1) 50 = 550

⇒ 10x + 50x - 50 = 550

⇒ 60x = 550 + 50

⇒ 60x = 600

⇒ x = 600/60

⇒ x = 10

No. of notes of ₹10 = 10

• No. of notes of ₹50 = x - 1

⇒ 10 - 1 = 9

No. of notes of ₹50 = 9

Therefore, the number of ₹ 50 notes is 9.

Answer 2

9

Explanation:

Let x represent the number of ₹50 notes. Then the number of ₹10 notes is (x+1) and the total value of all notes is ...

₹50·x + ₹10·(x+1) = ₹550

₹60·x = ₹540 . . . . . . . . . . . . subtract ₹10 and collect terms

x = 9 . . . . . . . . . . . . . . divide by ₹60

The number of ₹50 notes is 9.