300 coins consists of 1 rupee, 50 paise and 25 paise coins, their values being in the ratio of 10 : 4 : 3. Find the number of coins of each type.
Answers
Answer:
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Answer:
The answer is number of 1 Rupee coins = 100
number of 50 paise coins = 80
number of 25 paise coins = 120
Step-by-step explanation:
Given that 300 coins consists 1 Rupee, 50 paise, and 25 paise
the ratio of their values = 10: 4: 3
here 10, 4, 3 are the values of 1 Rupee, 50 paise, and 25 paise coins
⇒ number of 1 Rupee coins in 10 Rupees = 10 coins
⇒ number of 50 paise coins in 4 Rupees = 8 coins [∵8 × 50 paise = 4Rs]
⇒ number of 25 paise coins in 3 Rupees =12 coins [∵12×25 paise = 3 Rs ]
Therefore, Ratio of the number of coins = 10:8:12
= 5: 4: 6 [ divided by 2 ]
Let 5x, 4x and 6x be the number of coins [∵ they are in 5:4:6 ratio ]
from given data 5x + 4x + 6x = 300
15x = 300
x = 20
number of 1 Rupee coins = 5(20) = 100
number of 50 paise coins = 4(20) = 80
number of 25 paise coins = 6(20) = 120