A purse contains 144 coins comprising one rupee, 50 paise and 25 paise coins, their values being in the ratio 10 : 15 : 8. Find the number of 25 paise coins.
Explanation:
Let's assume the bag has Rs. 33x (∵ 10 + 15 + 8 = 33).
The value of one-rupee coins ⇒ Rs. 10x i.e. 10x coins
The value of 50ps. coins ⇒ Rs. 15x i.e. 30x coins
The value of 25ps. coins Rs. 8x i.e. 32x coins
⇒ 10x + 30x + 32x = 144
⇒ 72x = 144
⇒ x = 2
∴ Number of 25ps. coins is 32x = 64
Alternately,
Ratio of number of coins = value/(face value)⇒Ratio of number of coins of 1 rupee, 50 paise, 25 paise =
10/100 : 15/50 : 8/25 = 10 : 30 : 32
∴ Number of 50 paise coins = (32(144))/(10 + 30 + 32) = 64
Hence, 64.
» Your doubt will be displayed only after approval.
Help us build a Free and Comprehensive Preparation portal for various competitive exams by providing us your valuable feedback about Apti4All and how it can be improved.