A bag contain one rupee, 50paise , 25paise coins in the ratio 10:14:18 total amount is 430 find the number of coins
Answers
Answer:
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
Step-by-step explanation:
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Step-by-step explanation:
No. of 1rs coin= 10x
No. of 50p coun=14x
No. of 25p coin= 18 x
Value of 10x Rs 1 coins=1×10x=Rs10x
Value of 14x50paisa coin=14x×50p
=14x×50/100=Rs7x
Value of 18x25paisa coin= 18x×25p
=18x×25/100=4.5x
Totap amount =430
10x+7x+4.5x=430
21.5x=430
x=20
1Rs coin=10x=10×20= 200
50 paisa = 14x = 14×20= 280
25 paisa= 18x = 18×20=360
Total number = 200+280+360=840