Athira collected donations for an orphanage and it amounted to INR 5,4

1.	Athira collected donations for an orphanage and it amounted to INR 5,400. The sum was in the form of Rs. 10, Rs. 20 and Rs. 50 notes. The notes were in the ratio 20 ∶ 15 ∶ 8. Determine the total no. of notes.1). 2582). 5403). 2704). 900
Answer» Total AMOUNT collected = Rs 5400 The notes are in the ratio = 20 ? 15 ? 8 ⇒ Let the no. of notes be 20x, 15X, 8X respectively for 10, 20 and 50 rupees notes. The no. of notes is MULTIPLIED by the corresponding amount to find the CORRECT amount by each denomination. ⇒ Total amount by 10-rupee notes = 10 × 20x = 200x----(1) ⇒ Total amount by 20-rupee notes = 20 × 15x = 300x----(2) ⇒ Total amount by 50-rupee notes = 50 × 8x = 400x----(3) ⇒ 200x + 300x + 400x = 5400(From (1), (2) and (3)) ⇒ 900x = 5400 ⇒ x = 5400/900 = 6 The notes are 20 × 6 = 120; 15 × 6 = 90; 8 × 6 = 48 ∴ Total no. of notes = 120 + 90 + 48 = 258 notes.

Athira collected donations for an orphanage and it amounted to INR 5,400. The sum was in the form of Rs. 10, Rs. 20 and Rs. 50 notes. The notes were in the ratio 20 ∶ 15 ∶ 8. Determine the total no. of notes.1). 2582). 5403). 2704). 900

Answer»

Total AMOUNT collected = Rs 5400

The notes are in the ratio = 20 ? 15 ? 8

⇒ Let the no. of notes be 20x, 15X, 8X respectively for 10, 20 and 50 rupees notes.

The no. of notes is MULTIPLIED by the corresponding amount to find the CORRECT amount by each denomination.

⇒ Total amount by 10-rupee notes = 10 × 20x = 200x----(1)

⇒ Total amount by 20-rupee notes = 20 × 15x = 300x----(2)

⇒ Total amount by 50-rupee notes = 50 × 8x = 400x----(3)

⇒ 200x + 300x + 400x = 5400(From (1), (2) and (3))

⇒ 900x = 5400

⇒ x = 5400/900 = 6

The notes are 20 × 6 = 120; 15 × 6 = 90; 8 × 6 = 48

∴ Total no. of notes = 120 + 90 + 48 = 258 notes.