A bag contains coins of denominations 50 paise, 25 paise, and 10 paise, with a total value of ₹90. If the ratio of 50 paise, 25 paise, and 10 paise coins is 2:3:5, what is the number of 25 paise coins in the bag?
A bag contains coins of denominations 50 paise, 25 paise, and 10 paise, with a total value of ₹90. If the ratio of 50 paise, 25 paise, and 10 paise coins is 2:3:5, what is the number of 25 paise coins in the bag?
एक बैग में 50 पैसे, 25 पैसे और 10 पैसे के मूल्यवर्ग के 90 रुपये के सिक्के हैं। यदि 50 पैसे, 25 पैसे और 10 पैसे के सिक्कों का अनुपात 2 : 3 : 5 है, तो बैग में 25 पैसे के सिक्कों की संख्या कितनी है?
Detailed Solution & Logic
Correct Answer:
120
Let the number of 50p, 25p, and 10p coins be $2x, 3x, 5x$
Total value = ₹90 = 9000 paise
Form equation:
$50(2x) + 25(3x) + 10(5x) = 9000$
$100x + 75x + 50x = 9000$
$225x = 9000$
$x = 40$
Number of 25 paise coins = $3x = 3 \times 40 = 120$
Final Answer: 120
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