Question

A bag contains one rupee, 50 paise and 25 paise coins. The ratio of the number of 1 rupee coins to that of 50 paise coins is ` 5 : 9` and the ratio of the number of 50 paise conins to that of 25 paise coins is ` 2 : 1` . Find the value of the 50 paise coins in the bag if the total value of the bag is Rs. 425.
A. Rs. 254
B. Rs. 180
C. Rs. 78
D. Cannot be determined

Answer 1

Correct Answer - B
(i) Find the ratio of number of 1 rupee, 50 paise and 25 paise coins.
(ii) The ratio of number of one rupee coins, number of 50 paise coins and number 25 paise coins is `(5 xx 2) : ( 9 xx 2 ) : (1 xx 9)`, i.., ` 10 : 18 : 9`.
(iii) Let the number of one rupee coins, 50 paise coins and 25 paise coins be 10x , 18x and 9x respectively.
(iv) Given ` (10x) + ( 18x) 1/2 + (9x) 1/4 = 425`,
Find `((18x)/2)`, i.e., 9x.