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A lady has 25 paise and 50 paise coins in her purse. If in all she has 40 coins and value of her money is Rs. 12.75, how many coins of each type does she have?

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Let number of 25 paise coins be x and number of 50 paise coins be y.
According to given conditions, we have
x + y = 40 …(1)
and 25x + 50y = 1275 …(2)
Multiplying equation (1) by 50, we get
50x + 50y = 2000 …(3)
Subtracting equation (3) from (2), we get
-25x = - 725 implies x = 29
Substituting x = 29 in equation (1), we get
29 + y = 40 implies y = 11
Hence, number of 25 paise coins = 29 and number of 50 paise coins = 11.

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