Sum of Rs. 18.45 is made up of 90 coins which are either 10 paise coins or 25 paise coins. Find ratio of number of 10 paise coins to the number of 25 paise coins.
1). 7 : 3
2). 3 : 7
3). 2 : 5
4). 5 : 2
Let the number of 10 paise coins be c.
∴ number of 25 paise coins = 90 – c
Given in question,
Coins amount to a total sum of Rs 18.45 = 1845 paise
⇒ 10 × c + (90 – c) × 25 = 1845
⇒ 10c + 2250 – 25c = 1845
⇒ 405 = 15c
⇒ c = 27
∴ number of 25 paise coins = 90 – 27 = 63
Ratio of number of 10 paise coins to 25 paise coins = 27 : 63 = 3 : 710*90=900 paise
25*90=2250 paise
Total paise 18.45*100=1845
By mixture Alligation method
900 paise 2250paise
1845
405 : 945 whole divided by 135
3:7 Ans.
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