Question 76

A bag contains Rs. 216 in the form of one rupee, 50 paise and 25 paise coins in the ratio of $$2 : 3 : 4$$. The number of 50 paise coins is

Solution

Let number of one rupee, 50 paise and 25 paise coins be $$2x,3x$$ and $$4x$$ respectively.

Total amount = $$(1\times2x)+(0.5\times3x)+(0.25\times4x)=216$$

=> $$2x+1.5x+x=4.5x=216$$

=> $$x=\frac{216}{4.5}=48$$

$$\therefore$$ Number of 50 paise coins = $$3\times48=144$$

=> Ans - (B)


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