Manya has a total of Rs. 1040 as currency notes Indian nomination of rupees 10 ,20 and 50 the ratio of the number of rupees 10 notes and 20 notes is 2 : 5 if she has a total of 30 notes how many notes of each denomination she has ?
Answers
Answer:
Step-by-step explanation:
Let
No. of currency notes of Rs 10 = 2x
No. of currency notes of Rs 20 = 5x
No. of currency notes of Rs 10 = 30 - (2x+5x) = 30 - 7x
Amount made by Rs 10 notes = 10 × 2x = 20x
Amount made by Rs 20 notes = 20 × 5x = 100x
Amount made by Rs 50 notes = 50 × (30 - 7x) = 1500 - 350x
Total money = 1040
⇒ 20x + 100x + 1500 - 350x = 1040
⇒ - 230x = - 460⇒ x = 2
Denominations:
Rs 10 = 2 × 2 = 4
Rs 20 = 5 × 2 = 10
Rs 50 = (30 - 7 × 2) = 16
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Let
No. of currency notes of Rs 10 = 2x
No. of currency notes of Rs 20 = 5x
No. of currency notes of Rs 10 = 30 - (2x+5x) = 30 - 7x
Amount made by Rs 10 notes = 10 × 2x = 20x
Amount made by Rs 20 notes = 20 × 5x = 100x
Amount made by Rs 50 notes = 50 × (30 - 7x) = 1500 - 350x
Total money = 1040
⇒ 20x + 100x + 1500 - 350x = 1040
⇒ - 230x = - 460⇒ x = 2
Denominations:
Rs 10 = 2 × 2 = 4
Rs 20 = 5 × 2 = 10
Rs 50 = (30 - 7 × 2) = 16
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PLEASE FOLLOW ME