Aakash has coins of 50 paise, 25 paise and Rs. 1.50 in the ratio 1 : 2 : 3 (Aakash stays in a country where all are valid currency coins. Also, in his country, 1 rupee = 100 paise). How many coins of 25 paise does Aakash have, if he has got Rs.6,600 in all?

Aakash has coins of 50 paise, 25 paise and Rs. 1.50 in the ratio 1 : 2 : 3 (Aakash stays in a country where all are valid currency coins. Also, in his country, 1 rupee = 100 paise). How many coins of 25 paise does Aakash have, if he has got Rs.6,600 in all? Correct Answer 2400

The ratio of the number of coins is 1 : 2 : 3 for the 50 paise, 25 paise and Rs. 1.50 coins respectively.

∴ Ratio of money that he has in terms of 50 paise, 25 paise and Rs. 1.50 = (1 × 0.5) : (2 × 0.25) : (3 × 1.5)

= 0.5 : 0.5 : 4.5 =  1 : 1 : 9

Let the amount of money in terms of 50 paise, 25 paise and Rs. 1.50 coins be 1x, 1x and 9x respectively. 

Since, he has Rs. 6,600 in all -

= 1x + 1x + 9x = 6600

∴ 11x = 6600

∴ x = 600

∴ Number of 25 paise coins = 600/0.25 = 2400