If 480 coins consist of 50 paise coins 10 paise, whose values are in the ratio of 5:3:1. The no of 50 paise coins will be?
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Answer:
150,180,and 150
Step-by-step explanation:
Let the values of 1/2 rupee, 1/4 rupee and 1/10 rupee coins be Rs. 5x, Rs. 3x and Rs.x respectively (in accordance with the given ratio).
Now the number of coins is
= (Value of the coin) /(the total amount summing up all the coins present)
So no of 1/2 rupee coins=5x/(1/2)=10x
The no of 1/4 rupee coins=3x/(1/4)=12x
The no of 1/10 rupee coins=x/(1/10)=10x
By given data in question;
10x + 12x + 10x = 480
=> 32x=480
=> x=15
So, no of 1/2 rupee coins is 10x=(10×15)=150
No of 1/4 rupee coins is 12x=(12×15)=180
No of 1/10 rupee coins is 10x=(10×15)=150
So the required numbers of coins are 150, 180 and 150 respectively.
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