The ratio of the number of coins of 25 paise, 50 paise, Rs. 2 and Rs. 5 is 5 : 4 : 3 : 1, respectively. If the total amount of the coins is Rs. 285, then the difference between the number of 25 paise and Rs. 5 coins is:

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**Solution:**

1. Let the number of coins of 25 paise, 50 paise, Rs. 2, and Rs. 5 be $5x$, $4x$, $3x$, and $x$ respectively.

2. Convert the coin values to Rupees:
   - Value of 25 paise coins = $5x 	imes 0.25 = 1.25x$ Rupees
   - Value of 50 paise coins = $4x 	imes 0.50 = 2x$ Rupees
   - Value of Rs. 2 coins = $3x 	imes 2 = 6x$ Rupees
   - Value of Rs. 5 coins = $x 	imes 5 = 5x$ Rupees

3. Total amount is Rs. 285, so:
   $$1.25x + 2x + 6x + 5x = 285$$
   $$14.25x = 285$$
   $$x = \frac{285}{14.25} = 20$$

4. Calculate the number of 25 paise and Rs. 5 coins:
   - Number of 25 paise coins = $5x = 5 	imes 20 = 100$
   - Number of Rs. 5 coins = $x = 20$

5. Find the difference:
   $$100 - 20 = 80$$

**Answer:** The difference between the number of 25 paise and Rs. 5 coins is $80$.

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