A bag contains some one rupee,50 paisa ,and 25 paisa coins whose value ratio is 4:2:3.If the number of coins is 200 .Find the total value of the coins.
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Answer:
Step-by-step explanation
The ratio of Rs.1, 50 paise and 25 paise coins is 5:6:8
∴ Number of Rs.1 coins = 5x.
⇒ Number of 50paise coins = 6x
⇒ Number of 25paise coins = 8x.
∴ Value of 5x Rs.1 coins = Rs.1×5x=Rs.5x.
⇒ Value of 6x 50paise coins = 6x×50paise=Rs.
100
6x×50
=Rs.3x
⇒ Value of 8x 25paise coins = 8x×25paise=Rs.
100
8×25
=Rs.2x
⇒ Total amount = Rs.420
∴ 5x+3x+2x=420
∴ 10x=420
∴ x=
10
420
=42
∴ Number of Rs.1 coins = 5×42=210
∴ Number of 50paise coins = 6×42=252
∴ Number of 25paise coins = 8×42=336
⇒ Total number of coins = 210+252+336=798
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