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The ratio of coins of 1Rs, 50 paise and 25 paise in a bag is $4 : 5 : 6$ . If the total number of coins is 120 then the number of coins of 25 paise is:

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None of these

answer is D.

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Detailed Solution

Concept- Forming an equation where we will transform the above condition into linear equation with variable

x

. We will consider

100 paise = 1 Rs .

The ratio of coins in bag is given by,

4 : 5 : 6

Which totals 120 coins.
In equation form,

4 x + 5 x + 6 x = 120

We are given 120 total coins which contain denominations of 1Re, 50 paise and 25 paise. Transforming these into whole rupee, we will get,

1 Rs \to 4 x

50 paise \to \frac{5 x}{2}

25 paise \to \frac{6 x}{2}

The ratio of coins in bag in rupee denominations is given by,

4 x + \frac{5 x}{2} + \frac{6 x}{4} = 120

\frac{16 x + 10 x + 6 x}{4} = 120

x = \frac{480}{32} = 15

Therefore,

No . of 1 Re coin = 4 \times 15 = 60 coins

No . 0 f 50 paise coin = 5 \times 15 = 75 coins

No . of 25 paise coin = 6 \times 15 = 90 coins

Hence, the correct option is 4) None of these

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