a box contains rs 56 in the form of coins one..., Ratio & Proportion, General Mathematics

Question:A box contains `Rs. 56` in the form of coins of one rupee, `50-` paise and `25-` paise. The number of `50-` paise coins is double the number of `25` paise coins and four times the number of one rupee coins. How many `50` paise coins are there in the box ?

A `64` 
B `32` 
C `16` 
D Data inadequate

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+ AnswerA

+ ExplanationLet rupee coins `= x, 50-`paise coins `= 4x`

and `25-` paise coins `= 2x`.

`:.` Ratio of these coins `x : 4x : 2x = 1 : 4 : 2`.

Ratio of their values 

`= 1/1 : 4/2 : 2/4 = 4 : 8 : 2 = 2 : 4 : 1`. 

`:.` Value of `50-` paise coins `= Rs. (56 xx 4/7)`

`= Rs. 32`.
Number of `50-` paise coins `= 64`.

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