Ram has a total of 30000 in notes of denomination 100, 200 and 500. The number of 200 notes is 3 times the number of 500 notes. The total number of notes is 160. In what ratio are the notes of each denomination are with him?
Ram has a total of 30000 in notes of denomination 100, 200 and 500. The number of 200 notes is 3 times the number of 500 notes. The total number of notes is 160. In what ratio are the notes of each denomination are with him? Correct Answer 8 : 6 : 2
Let number of 500rs note = x
⇒ number of 200rs notes = 3x
⇒ Total number of notes = 160
⇒number of 100rs note = 160 - (x + 3x) = 160 - 4x
⇒ 500(x) + 200(3x) + 100(160 - 4x) = 30000
⇒ 500x + 600x + 16000 - 400x = 30000
⇒ 1100x - 400x + 16000 = 30000
⇒ 700x + 16000 = 30000
⇒ 700x = 30000 - 16000
⇒ x = 20
⇒ number of Rs. 500 notes = 20
⇒ number of Rs. 200 notes = 3x = 3(20) = 60
⇒ number of Rs. 100 notes = 160 - (20 + 60) = 80
∴ required ratio = 80 : 60 : 20 = 8 : 6 : 2
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Feb 20, 2025