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 ?
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 ?
1). 256
2). 360
3). 320
4). 640
2 answers
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
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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