Rahul has 760 as a currency notes in the denomination of 50 rupees 20 rupee and 10 rupees the ratio of the number 50 rupee note to 20 rupee note 3 is to 5 if he has total of 25 note find the number of notes of each denomination
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Step-by-step explanation:
Let
No. of currency notes of Rs 50 = 3x
No. of currency notes of Rs 20 = 5x
No. of currency notes of Rs 10 = 25 - (3x+5x) = 25 - 8x
Amount made by Rs 50 notes = 50 × 3x = 150x
Amount made by Rs 20 notes = 20 × 5x = 100x
Amount made by Rs 10 notes = 10 × (25 - 8x) = 250 - 80x
Total money = 760
⇒ 150x + 100x + 250 - 80x =760
⇒ 170x = 510
⇒ x =3
Denominations:
Rs 50 = 3 × 3= 9
Rs 20 = 5 × 3= 15
Rs 10 = (25 - 8 × 2) = 9
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