A box contains 1 rupees , 2 rupees ,5 rupees coins in the ratio 4:3:2 if the total amount of money in the box is 500 the number of

2 thoughts on “A box contains 1 rupees , 2 rupees ,5 rupees coins in the ratio 4:3:2 if the total amount of money in the box is 500 the number of”

1. Answer:

   798

   ⇒ 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.1006x×50=Rs.3x

   ⇒ Value of 8x 25paise coins = 8x×25paise=Rs.1008×25=Rs.2x

   ⇒ Total amount = Rs.420

   ∴ 5x+3x+2x=420

   ∴ 10x=420

   ∴ x=10420=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

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2. 1 rupees coin is in the ratio 4

   2 rupees coin is in the ratio 3

   3 rupees coin is in the ratio 2

   total amount=500

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