I have a total of ₹300 in coins of denomination ₹1, ₹2 and ₹5. The number of ₹2 coins is 3 times the number of ₹5 coins. The total number of coins is 160. How many coins of each denomination are with me?

Total sum of money = ₹300
Let the number of ₹5 coins be x, number of ₹2 coins be 3x and number of ₹1 coins
be 160-(x+3x)=160-4x
According to question, 5Xx+2X(3x)+1X(160-4x)=300
⇒ 5x+6x+160-4x=300
⇒ 7x+160=300
⇒ 7x+160-160=300-160 [Subtracting 160 from both sides]
⇒ 7x-140
⇒ 7x/7=140/7 [Dividing both sides by 7]
⇒ x=20

Hence, the number of coins of ₹5 denomination = 20
Number of coins of ₹2 denomination = 3 x 20 = 60
Number of coins of ₹1 denomination = 160 – 4 x 20 = 160 – 80 = 80

Class 8 Maths Chapter 2 Exercise 2.2 Solution in Video

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