A bag contains 25 paise and 50 paise coins whose total value is Rs.30. if the number of 25 Paise coins is four times that of 50 paise coins, find the number of each type of coins.

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50 paise coins = 40, 25 paise coins = 40

50 paise coins = 15, 25 paise coins = 60

50 paise coins = 10, 25 paise coins = 40

50 paise coins = 20, 25 paise coins = 80

answer is D.

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Detailed Solution

Given,
A bag contains 25 paise and 50 paise coins whose total value is Rs.30.
Suppose total 50 paise coins = x
Thus, total 25 Paise coins = 4x
Now, value of coin in bag = Rs. 30 = 3000 paise (since Rs. 1 = 100 paise)
Thus, from given condition,

25 (4 x) + 50 x = 3000

100 x + 50 x = 3000

150 x = 3000

x = \frac{3000}{150}

x = 20

So, 50 paise coins,

x = 20

Also, 25 paise coins,

4 x = 4 (20)

4 x = 80

Thus,
50 paise coins = 20, 25 paise coins = 80
Hence, option 4 is correct.

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