A bag had 500 RS in the form of 1 RS, 50 PAISE and 25 PAISE coins coins in the ratio 3:8:12, find the number of each type of coins.
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Answers
Step-by-step explanation:
Let One rupees = 1
Let 50 paise coins = 0.5 ( 50/100)
Let 25 paise coins = 0.25 ( 25/100)
In question it is given that
Ratio of 1 rs = 3X
Ratio of 50 paise = 8X
Ratio of 25 paise = 12X
THEN EQUATION
3X × 1 + 8X × 0.5 + 12X × 0.25 = 500
3X + 4X + 3X = 500
10X = 500
X = 50
No. of one rupees coin = 3 × 50 = 150
No. of 50 paise coins = 8 × 50 = 400
No. of 25 paise coins = 12 × 50 = 600
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Answer:
Number of Rs. 1 coins = 150
Number of 50 paise coins = 400
Number of 25 paise coins = 600
Step-by-step explanation:
Let,
Number of Rs. 1 coins = 3x
Number of 50 paise coins = 8x
Number of 25 paise coins = 12x
★ Accoring to the Question :
Total amount = Rs. 500
⇒ 1 (3x) + 0.5 (8x) + 0.25 (12x) = 500
⇒ 3x + 4x + 3x = 500
⇒ 10x = 500
⇒ x = 500/10
⇒ x = 50
• Number of Rs. 1 coins = 3x
⇒ 3 (50)
⇒ 150
Number of Rs. 1 coins = 150
• Number of 50 paise coins = 8x
⇒ 8 (50)
⇒ 400
Number of 50 paise coins = 400
• Number of 25 paise coins = 12x
⇒ 12 (50)
⇒ 600
Number of 25 paise coins = 600
Therefore,
Number of Rs. 1 coins = 150
Number of 50 paise coins = 400
Number of 25 paise coins = 600