A lady has 50 paise and Rs 1 coins in her purse. If in all, she has 40 coins total Rs 25.50 how many of each type of coins does she have?

# A lady has 50 paise and Rs 1 coins in her purse. If in all, she has 40 coins total Rs 25.50 how many of each type of coins does she have?

1. A
50paisa coin =26, 1Rs. Coin = 11
2. B
50paisa coin =11, 1Rs. Coin =29
3. C
50paisa coin =29, 1Rs. Coin =11
4. D
None of these

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### Solution:

Concept: First we will make two equations assuming the number of coins and then we will subtract those two equations to get the number of coins.
Let x be the 50 paisa coins and y be the Rs.1 coin.
x+y=40…..(i)
$\frac{x}{2}$+y=25.50
$\frac{x+2y}{2}$=25.50
x+2y=25.50$×$25.50
x+2y=51…….(ii)
Sub equ (i) from(ii)
x+2y-x-y=51-40
y=11
Put y in equ (i)
x+11=40
x=29
50paisa coin =29, 1Rs. Coin =11
Hence, correct option is 3

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