A tiny piggy bank contains Rs. 1, 50 paise, 25 paise coins in the ratio 1 : 2 : 3. If the total value is Rs. 154, then what is the number of 25 paise coins ?

168

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112

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156

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Solution

The correct option is D 168
Ratio of coins = 1 : 2 : 3
Value of the total coin = Rs 154
Let number of one rupee coin is x, 50 paise coin is 2x and 25 paise coin is 3x.
Value of the one rupee coin = x
value of 50 paise coin = Rs. $\frac{2 x}{2}$ = Rs.x
value of the 25 paise coin = 3x/4
value of whole coins = 154
x + x + $\frac{3 x}{4}$ = 154
$8 x + 3 x = 154 * 4$
$11 x = 154 * 4$
x = 14 4 = 56. Then
Number of 25 paise coins = 3x = 3 56 = 168

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