A purse contains 1 rupee, 50 paise and 25 paise coins in the ratio 7:8:9. If the total money in the purse is 159. The number of 50 paise coins in the purse will be :

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Ratio & Proportion

Question:

A purse contains 1 rupee, 50 paise and 25 paise coins in the ratio 7:8:9. If the total money in the purse is 159. The number of 50 paise coins in the purse will be :

A96

B84

C82

D86

Answer:

A. 96

Explanation:

Ratio of number of coins,

1Rs : 50p : 25p = 7 : 8 : 9

Let the total value of 1Rs coin is $=7x\times{1}=7x$

Total Value of 50p coin $=8x\times{\frac{1}{2}}=\frac{8x}{2}=4x$

Total Value of 25p coin $=9x\times{\frac{1}{4}}=\frac{9x}{4}$

Total Amount $=7x+4x+\frac{9x}{4}=159$

=>\frac{28x+16x+9x}{4}=159

=>53x=159\times{4}

=>x=3\times{4}

=>x=12

No. of 50p coins $=8x=8\times{12}=96$

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