Question 144

A bag contains coins of ₹ 1, 50 paise and 25 paise in the ratio 2 : 3 : 5. If the total value of these coins is ₹ 228, then the number of 50 paise coins in that bag was

Solution

Let the number of coins of ₹ 1, 50 paise and 25 paise in the bag are 2p, 3p, 5p respectively

Given, the total value of these coins is ₹ 228

$$=$$> $$2p\times1+3p\times\frac{1}{2}+5p\times\frac{1}{4}=228$$

$$=$$> $$\frac{8p+6p+5p}{4}=228$$

$$=$$> $$19p=228\times4$$

$$=$$> $$p=48$$

$$\therefore\ $$Number of 50 paise coins in the bag$$=3p=3\times48=144$$

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