Question 22

In a piggy bank there are 1 rupee, 50 paise and 25 paise coins. The respective ratio of their numbers is 10 : 8 : 5. In piggy bank there is a total sum of Rs. 976. How many 25 paise coins are there in the piggy bank ?

Solution

Let the number of 1 rupee, 50 paise and 25 paise coins = $$10x , 8x , 5x$$

=> Total amount = $$(10x \times 1) + (8x \times \frac{1}{2}) + (5x \times \frac{1}{4}) = 976$$

=> $$14x + \frac{5x}{4} = 976$$

=> $$\frac{61x}{4} = 976$$

=> $$x = \frac{976 \times 4}{61} = 64$$

$$\therefore$$ No. of 25 paise coins = 5 * 64 = 320

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