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Q.

Ayushi has Rs. 1 and Rs. 2 Coins with her. If she has 50 coins in total and the total amount is Rs 75, then the number of coins for Rs.1 and Rs.2 coin respectively are _______ and ________.

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a

35 and 15

b

35 and 20

c

15 and 35

d

25 and 25

answer is D.

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Detailed Solution

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Let the number of Rs.1 coins be x. 

Let the number of Rs.2 coins be y .

Then according to the given condition: 

x + y = 50 ___(i) 

and 1 × x + 2 × y = 75 

⇒ x + 2y = 75___(ii) 

Solving equations (i) and (ii) we get: 

(x + 2y) – (x + y) = 75 – 50 

⇒ y = 25 

Therefore, x = 50 – 25 = 25. 

So, the quantities of coins are 25, 25 each.

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