A bag contains one rupee, 50 paise and 25 paise coins in the proportion 5 : 7 : 9. If the total amount in the bag is ₹430, then how many 25 paise coins are there?

A bag contains one rupee, 50 paise and 25 paise coins in the proportion 5 : 7 : 9.

Here money is indifferent value. So we need to convert them into a single base.

 Ratio ==> $$5\times4 : 7\times2 : 9\times1$$ [one rupee = $$4\times $$ 25 paise] [50 paise= $$2\times $$ 25 paise] [25 paise = $$1\times $$ 25 paise]

==> 20 : 14 : 9

 If the total amount in the bag is ₹430.

20y+14y+9y = 43000 [₹430 will be converted into paise.]

43y = 43000

y = 1000

Amount in the form of 25 paise coins = 9y = 9000 paise = ₹90 

Number of 25 paise coins = $$90\times4$$ = 360